[{"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"article_number":"061102","external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann"}],"title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","citation":{"chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0089983.","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102.","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:10.1063/5.0089983.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 63, no. 6. AIP Publishing, 2022.","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0089983","ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 2022;63(6). doi:10.1063/5.0089983"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"quality_controlled":"1","publisher":"AIP Publishing","acknowledgement":"The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from the European Union’s Horizon 2020 Research and Innovation Programme under Marie Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged.","date_created":"2022-08-11T06:37:52Z","doi":"10.1063/5.0089983","date_published":"2022-06-10T00:00:00Z","year":"2022","has_accepted_license":"1","isi":1,"publication":"Journal of Mathematical Physics","day":"10","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","_id":"11783","file_date_updated":"2022-08-11T07:03:02Z","department":[{"_id":"RoSe"}],"date_updated":"2023-08-03T12:46:28Z","ddc":["530"],"scopus_import":"1","intvolume":" 63","month":"06","abstract":[{"lang":"eng","text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix."}],"oa_version":"Published Version","ec_funded":1,"license":"https://creativecommons.org/licenses/by/4.0/","issue":"6","volume":63,"publication_status":"published","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"d0d32c338c1896680174be88c70968fa","file_id":"11784","file_size":5957888,"date_updated":"2022-08-11T07:03:02Z","creator":"dernst","file_name":"2022_JourMathPhysics_Bossmann.pdf","date_created":"2022-08-11T07:03:02Z"}]},{"citation":{"chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4.","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188, 9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.","apa":"Rademacher, S. A. E., & Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02940-4","ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” Journal of Statistical Physics, vol. 188. Springer Nature, 2022."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000805175000001"]},"author":[{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"title":"Large deviation estimates for weakly interacting bosons","article_number":"9","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"year":"2022","has_accepted_license":"1","isi":1,"publication":"Journal of Statistical Physics","day":"01","date_created":"2022-08-18T07:23:26Z","date_published":"2022-07-01T00:00:00Z","doi":"10.1007/s10955-022-02940-4","acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","oa":1,"quality_controlled":"1","publisher":"Springer Nature","date_updated":"2023-08-03T12:55:58Z","ddc":["510"],"file_date_updated":"2022-08-18T08:09:00Z","department":[{"_id":"RoSe"}],"_id":"11917","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","publication_status":"published","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"44418cb44f07fa21ed3907f85abf7f39","file_id":"11922","file_size":483481,"date_updated":"2022-08-18T08:09:00Z","creator":"dernst","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","date_created":"2022-08-18T08:09:00Z"}],"ec_funded":1,"volume":188,"abstract":[{"lang":"eng","text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 188","month":"07"},{"_id":"12083","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510"],"date_updated":"2023-08-03T13:57:19Z","file_date_updated":"2022-09-12T07:35:34Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem."}],"month":"08","intvolume":" 63","scopus_import":"1","file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","file_id":"12089","success":1,"date_updated":"2022-09-12T07:35:34Z","file_size":4552261,"creator":"dernst","date_created":"2022-09-12T07:35:34Z","file_name":"2022_JourMathPhysics_Rademacher.pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-2488"]},"publication_status":"published","issue":"8","volume":63,"ec_funded":1,"article_number":"081902","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0086712.","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.","mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:10.1063/5.0086712.","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).","ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” Journal of Mathematical Physics, vol. 63, no. 8. AIP Publishing, 2022.","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0086712","ama":"Rademacher SAE. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 2022;63(8). doi:10.1063/5.0086712"},"title":"Dependent random variables in quantum dynamics","author":[{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"}],"article_processing_charge":"No","external_id":{"arxiv":["2112.04817"],"isi":["000844402500001"]},"acknowledgement":"S.R. would like to thank Robert Seiringer and Benedikt Stufler for helpful discussions. Funding from the European Union’s Horizon 2020 Research and Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.","quality_controlled":"1","publisher":"AIP Publishing","oa":1,"day":"25","publication":"Journal of Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2022","date_published":"2022-08-25T00:00:00Z","doi":"10.1063/5.0086712","date_created":"2022-09-11T22:01:56Z"},{"type":"dissertation","tmp":{"name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)"},"status":"public","_id":"12390","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file_date_updated":"2023-01-26T10:02:42Z","supervisor":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"date_updated":"2023-08-07T13:32:09Z","ddc":["500"],"alternative_title":["ISTA Thesis"],"month":"12","abstract":[{"text":"The scope of this thesis is to study quantum systems exhibiting a continuous symmetry that\r\nis broken on the level of the corresponding effective theory. In particular we are going to\r\ninvestigate translation-invariant Bose gases in the mean field limit, effectively described by\r\nthe Hartree functional, and the Fröhlich Polaron in the regime of strong coupling, effectively\r\ndescribed by the Pekar functional. The latter is a model describing the interaction between a\r\ncharged particle and the optical modes of a polar crystal. Regarding the former, we assume in\r\naddition that the particles in the gas are unconfined, and typically we will consider particles\r\nthat are subject to an attractive interaction. In both cases the ground state energy of the\r\nHamiltonian is not a proper eigenvalue due to the underlying translation-invariance, while on\r\nthe contrary there exists a whole invariant orbit of minimizers for the corresponding effective\r\nfunctionals. Both, the absence of proper eigenstates and the broken symmetry of the effective\r\ntheory, make the study significantly more involved and it is the content of this thesis to\r\ndevelop a frameworks which allows for a systematic way to circumvent these issues.\r\nIt is a well-established result that the ground state energy of Bose gases in the mean field limit,\r\nas well as the ground state energy of the Fröhlich Polaron in the regime of strong coupling, is\r\nto leading order given by the minimal energy of the corresponding effective theory. As part\r\nof this thesis we identify the sub-leading term in the expansion of the ground state energy,\r\nwhich can be interpreted as the quantum correction to the classical energy, since the effective\r\ntheories under consideration can be seen as classical counterparts.\r\nWe are further going to establish an asymptotic expression for the energy-momentum relation\r\nof the Fröhlich Polaron in the strong coupling limit. In the regime of suitably small momenta,\r\nthis asymptotic expression agrees with the energy-momentum relation of a free particle having\r\nan effectively increased mass, and we find that this effectively increased mass agrees with the\r\nconjectured value in the physics literature.\r\nIn addition we will discuss two unrelated papers written by the author during his stay at ISTA\r\nin the appendix. The first one concerns the realization of anyons, which are quasi-particles\r\nacquiring a non-trivial phase under the exchange of two particles, as molecular impurities.\r\nThe second one provides a classification of those vector fields defined on a given manifold\r\nthat can be written as the gradient of a given functional with respect to a suitable metric,\r\nprovided that some mild smoothness assumptions hold. This classification is subsequently\r\nused to identify those quantum Markov semigroups that can be written as a gradient flow of\r\nthe relative entropy.\r\n","lang":"eng"}],"oa_version":"Published Version","related_material":{"record":[{"status":"public","id":"9005","relation":"part_of_dissertation"}]},"ec_funded":1,"license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","degree_awarded":"PhD","file":[{"date_created":"2023-01-26T10:02:34Z","file_name":"Brooks_Thesis.pdf","date_updated":"2023-01-26T10:02:34Z","file_size":3095225,"creator":"cchlebak","file_id":"12391","checksum":"b31460e937f33b557abb40ebef02b567","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"},{"checksum":"9751869fa5e7981588ad4228f4fd4bd6","file_id":"12392","content_type":"application/octet-stream","relation":"source_file","access_level":"closed","file_name":"Brooks_Thesis.tex","date_created":"2023-01-26T10:02:42Z","file_size":809842,"date_updated":"2023-01-26T10:02:42Z","creator":"cchlebak"}],"language":[{"iso":"eng"}],"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"author":[{"first_name":"Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928","last_name":"Brooks"}],"article_processing_charge":"No","title":"Translation-invariant quantum systems with effectively broken symmetry","citation":{"ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022.","short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","apa":"Brooks, M. (2022). Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12390","ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:10.15479/at:ista:12390","mla":"Brooks, Morris. Translation-Invariant Quantum Systems with Effectively Broken Symmetry. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12390.","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria.","chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12390."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","publisher":"Institute of Science and Technology Austria","oa":1,"page":"196","doi":"10.15479/at:ista:12390","date_published":"2022-12-15T00:00:00Z","date_created":"2023-01-26T10:00:42Z","has_accepted_license":"1","year":"2022","day":"15"},{"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"_id":"11732","file_date_updated":"2022-08-08T07:36:34Z","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"date_updated":"2023-09-05T14:57:49Z","ddc":["530"],"scopus_import":"1","month":"07","intvolume":" 189","abstract":[{"lang":"eng","text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature."}],"oa_version":"Published Version","volume":189,"ec_funded":1,"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"publication_status":"published","file":[{"date_created":"2022-08-08T07:36:34Z","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","creator":"dernst","date_updated":"2022-08-08T07:36:34Z","file_size":419563,"file_id":"11746","checksum":"b398c4dbf65f71d417981d6e366427e9","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"article_number":"5","author":[{"full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha"},{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard"}],"external_id":{"isi":["000833007200002"]},"article_processing_charge":"Yes (via OA deal)","title":"The BCS energy gap at high density","citation":{"mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9","apa":"Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9.","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","doi":"10.1007/s10955-022-02965-9","date_published":"2022-07-29T00:00:00Z","date_created":"2022-08-05T11:36:56Z","isi":1,"has_accepted_license":"1","year":"2022","day":"29","publication":"Journal of Statistical Physics"},{"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"ec_funded":1,"issue":"5","volume":112,"oa_version":"Preprint","abstract":[{"lang":"eng","text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy."}],"intvolume":" 112","month":"09","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2203.12473","open_access":"1"}],"scopus_import":"1","date_updated":"2023-09-05T15:17:34Z","department":[{"_id":"RoSe"}],"_id":"12246","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","type":"journal_article","article_type":"original","publication":"Letters in Mathematical Physics","day":"15","year":"2022","isi":1,"date_created":"2023-01-16T09:53:54Z","date_published":"2022-09-15T00:00:00Z","doi":"10.1007/s11005-022-01584-5","acknowledgement":"We would like to thank David Gontier for useful advice on the numerical simulations. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful for the hospitality of the Institut Henri Poincaré in Paris, where part of this work was done.","oa":1,"publisher":"Springer Nature","quality_controlled":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer Nature, 2022, doi:10.1007/s11005-022-01584-5.","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 2022;112(5). doi:10.1007/s11005-022-01584-5","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-022-01584-5","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” Letters in Mathematical Physics, vol. 112, no. 5. Springer Nature, 2022.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5.","ista":"Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92."},"title":"Improved Lieb–Oxford bound on the indirect and exchange energies","external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"article_processing_charge":"No","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"last_name":"Lieb","full_name":"Lieb, Elliott H.","first_name":"Elliott H."},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"article_number":"92","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}]},{"acknowledged_ssus":[{"_id":"SSU"}],"abstract":[{"lang":"eng","text":"The polaron model is a basic model of quantum field theory describing a single particle\r\ninteracting with a bosonic field. It arises in many physical contexts. We are mostly concerned\r\nwith models applicable in the context of an impurity atom in a Bose-Einstein condensate as\r\nwell as the problem of electrons moving in polar crystals.\r\nThe model has a simple structure in which the interaction of the particle with the field is given\r\nby a term linear in the field’s creation and annihilation operators. In this work, we investigate\r\nthe properties of this model by providing rigorous estimates on various energies relevant to the\r\nproblem. The estimates are obtained, for the most part, by suitable operator techniques which\r\nconstitute the principal mathematical substance of the thesis.\r\nThe first application of these techniques is to derive the polaron model rigorously from first\r\nprinciples, i.e., from a full microscopic quantum-mechanical many-body problem involving an\r\nimpurity in an otherwise homogeneous system. We accomplish this for the N + 1 Bose gas\r\nin the mean-field regime by showing that a suitable polaron-type Hamiltonian arises at weak\r\ninteractions as a low-energy effective theory for this problem.\r\nIn the second part, we investigate rigorously the ground state of the model at fixed momentum\r\nand for large values of the coupling constant. Qualitatively, the system is expected to display\r\na transition from the quasi-particle behavior at small momenta, where the dispersion relation\r\nis parabolic and the particle moves through the medium dragging along a cloud of phonons, to\r\nthe radiative behavior at larger momenta where the polaron decelerates and emits free phonons.\r\nAt the same time, in the strong coupling regime, the bosonic field is expected to behave purely\r\nclassically. Accordingly, the effective mass of the polaron at strong coupling is conjectured to\r\nbe asymptotically equal to the one obtained from the semiclassical counterpart of the problem,\r\nfirst studied by Landau and Pekar in the 1940s. For polaron models with regularized form\r\nfactors and phonon dispersion relations of superfluid type, i.e., bounded below by a linear\r\nfunction of the wavenumbers for all phonon momenta as in the interacting Bose gas, we prove\r\nthat for a large window of momenta below the radiation threshold, the energy-momentum\r\nrelation at strong coupling is indeed essentially a parabola with semi-latus rectum equal to the\r\nLandau–Pekar effective mass, as expected.\r\nFor the Fröhlich polaron describing electrons in polar crystals where the dispersion relation is\r\nof the optical type and the form factor is formally UV–singular due to the nature of the point\r\ncharge-dipole interaction, we are able to give the corresponding upper bound. In contrast to\r\nthe regular case, this requires the inclusion of the quantum fluctuations of the phonon field,\r\nwhich makes the problem considerably more difficult.\r\nThe results are supplemented by studies on the absolute ground-state energy at strong coupling,\r\na proof of the divergence of the effective mass with the coupling constant for a wide class of\r\npolaron models, as well as the discussion of the apparent UV singularity of the Fröhlich model\r\nand the application of the techniques used for its removal for the energy estimates.\r\n"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"07","publication_status":"published","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"file":[{"file_size":1830973,"date_updated":"2022-07-05T08:12:56Z","creator":"kmysliwy","file_name":"thes1_no_isbn_2_1b.pdf","date_created":"2022-07-05T08:12:56Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"7970714a20a6052f75fb27a6c3e9976e","file_id":"11486"},{"checksum":"647a2011fdf56277096c9350fefe1097","file_id":"11487","relation":"source_file","access_level":"closed","content_type":"application/zip","file_name":"thes_source.zip","date_created":"2022-07-05T08:15:52Z","creator":"kmysliwy","file_size":5831060,"date_updated":"2022-07-05T08:17:12Z"}],"ec_funded":1,"related_material":{"record":[{"status":"public","id":"10564","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"8705"}]},"_id":"11473","type":"dissertation","status":"public","date_updated":"2023-09-07T13:43:52Z","supervisor":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"ddc":["515","539"],"file_date_updated":"2022-07-05T08:17:12Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"oa":1,"publisher":"Institute of Science and Technology Austria","year":"2022","has_accepted_license":"1","day":"01","page":"138","date_created":"2022-06-30T12:15:03Z","date_published":"2022-07-01T00:00:00Z","doi":"10.15479/at:ista:11473","project":[{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"}],"citation":{"mla":"Mysliwy, Krzysztof. Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:11473.","short":"K. Mysliwy, Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates, Institute of Science and Technology Austria, 2022.","ieee":"K. Mysliwy, “Polarons in Bose gases and polar crystals: Some rigorous energy estimates,” Institute of Science and Technology Austria, 2022.","ama":"Mysliwy K. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. 2022. doi:10.15479/at:ista:11473","apa":"Mysliwy, K. (2022). Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:11473","chicago":"Mysliwy, Krzysztof. “Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:11473.","ista":"Mysliwy K. 2022. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","author":[{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy"}],"title":"Polarons in Bose gases and polar crystals: Some rigorous energy estimates"},{"_id":"10564","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","date_updated":"2023-09-07T13:43:51Z","ddc":["530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2022-02-02T14:24:41Z","abstract":[{"text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"01","intvolume":" 186","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"publication_status":"published","file":[{"file_name":"2022_JournalStatPhys_Myśliwy.pdf","date_created":"2022-02-02T14:24:41Z","creator":"cchlebak","file_size":434957,"date_updated":"2022-02-02T14:24:41Z","success":1,"file_id":"10716","checksum":"da03f6d293c4b9802091bce9471b1d29","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"issue":"1","related_material":{"record":[{"status":"public","id":"11473","relation":"dissertation_contains"}]},"volume":186,"ec_funded":1,"article_number":"5","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w.","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5, Springer Nature, 2022, doi:10.1007/s10955-021-02851-w.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” Journal of Statistical Physics, vol. 186, no. 1. Springer Nature, 2022.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 2022;186(1). doi:10.1007/s10955-021-02851-w","apa":"Mysliwy, K., & Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-021-02851-w"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2106.09328"],"isi":["000726275600001"]},"title":"Polaron models with regular interactions at strong coupling","acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","publisher":"Springer Nature","quality_controlled":"1","oa":1,"isi":1,"has_accepted_license":"1","year":"2022","day":"01","publication":"Journal of Statistical Physics","doi":"10.1007/s10955-021-02851-w","date_published":"2022-01-01T00:00:00Z","date_created":"2021-12-19T23:01:32Z"},{"ec_funded":1,"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"issue":"12","volume":282,"language":[{"iso":"eng"}],"file":[{"creator":"dernst","file_size":631391,"date_updated":"2022-08-02T10:37:55Z","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","date_created":"2022-08-02T10:37:55Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"checksum":"63efcefaa1f2717244ef5407bd564426","file_id":"11720"}],"publication_status":"published","publication_identifier":{"issn":["0022-1236"]},"intvolume":" 282","month":"06","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1.","lang":"eng"}],"file_date_updated":"2022-08-02T10:37:55Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-10-27T10:37:29Z","keyword":["Analysis"],"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"10850","date_created":"2022-03-16T08:41:53Z","doi":"10.1016/j.jfa.2022.109455","date_published":"2022-06-15T00:00:00Z","publication":"Journal of Functional Analysis","day":"15","year":"2022","has_accepted_license":"1","isi":1,"oa":1,"quality_controlled":"1","publisher":"Elsevier","acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","title":"Two-particle bound states at interfaces and corners","external_id":{"arxiv":["2105.04874"],"isi":["000795160200009"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","last_name":"Roos","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109455.","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis, vol. 282, no. 12, 109455, Elsevier, 2022, doi:10.1016/j.jfa.2022.109455.","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” Journal of Functional Analysis, vol. 282, no. 12. Elsevier, 2022.","apa":"Roos, B., & Seiringer, R. (2022). Two-particle bound states at interfaces and corners. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2022.109455","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 2022;282(12). doi:10.1016/j.jfa.2022.109455"},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"article_number":"109455"},{"doi":"10.1088/1751-8121/ac3947","date_published":"2022-01-19T00:00:00Z","date_created":"2022-02-13T23:01:35Z","day":"19","publication":"Journal of Physics A: Mathematical and Theoretical","has_accepted_license":"1","year":"2022","publisher":"IOP Publishing","quality_controlled":"1","oa":1,"acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon\r\n2020 research and innovation programme under the ERC Grant Agreement No. 694227\r\n(DF and RS) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (SR) is\r\ngratefully acknowledged.","title":"The effective mass problem for the Landau-Pekar equations","author":[{"last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario"},{"id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2107.03720"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:10.1088/1751-8121/ac3947.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1. IOP Publishing, 2022.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2022). The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/ac3947","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 2022;55(1). doi:10.1088/1751-8121/ac3947","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2022. https://doi.org/10.1088/1751-8121/ac3947.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201."},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"article_number":"015201","issue":"1","volume":55,"related_material":{"record":[{"id":"9791","status":"public","relation":"earlier_version"}]},"ec_funded":1,"file":[{"file_size":1132380,"date_updated":"2022-02-14T08:20:19Z","creator":"dernst","file_name":"2022_JournalPhysicsA_Feliciangeli.pdf","date_created":"2022-02-14T08:20:19Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"0875e562705563053d6dd98fba4d8578","file_id":"10757"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]},"publication_status":"published","month":"01","intvolume":" 55","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423)."}],"department":[{"_id":"RoSe"}],"file_date_updated":"2022-02-14T08:20:19Z","ddc":["510"],"date_updated":"2024-03-06T12:30:44Z","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"10755"},{"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"file_date_updated":"2022-01-03T10:15:05Z","ddc":["530"],"date_updated":"2023-06-15T14:51:49Z","status":"public","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"10585","volume":9,"issue":"4","file":[{"file_name":"2021_Atoms_Brooks.pdf","date_created":"2022-01-03T10:15:05Z","creator":"alisjak","file_size":303070,"date_updated":"2022-01-03T10:15:05Z","success":1,"checksum":"d0e44b95f36c9e06724f66832af0f8c3","file_id":"10592","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2218-2004"]},"publication_status":"published","month":"12","intvolume":" 9","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle"}],"title":"Emergence of anyons on the two-sphere in molecular impurities","author":[{"last_name":"Brooks","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","first_name":"Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802"},{"first_name":"Douglas","last_name":"Lundholm","full_name":"Lundholm, Douglas"},{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp"}],"external_id":{"arxiv":["2108.06966"]},"article_processing_charge":"Yes","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms. MDPI, 2021. https://doi.org/10.3390/atoms9040106.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms, vol. 9, no. 4, 106, MDPI, 2021, doi:10.3390/atoms9040106.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. Atoms. MDPI. https://doi.org/10.3390/atoms9040106","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” Atoms, vol. 9, no. 4. MDPI, 2021.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021)."},"article_number":"106","doi":"10.3390/atoms9040106","date_published":"2021-12-02T00:00:00Z","date_created":"2022-01-02T23:01:33Z","day":"02","publication":"Atoms","has_accepted_license":"1","year":"2021","quality_controlled":"1","publisher":"MDPI","oa":1,"acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804)."},{"volume":33,"issue":"1","ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0129-055X"]},"publication_status":"published","month":"01","intvolume":" 33","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2001.00497","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein."}],"department":[{"_id":"RoSe"}],"date_updated":"2023-08-04T10:50:13Z","status":"public","type":"journal_article","article_type":"original","_id":"7685","doi":"10.1142/S0129055X20600065","date_published":"2021-01-01T00:00:00Z","date_created":"2020-04-26T22:00:45Z","day":"01","publication":"Reviews in Mathematical Physics","isi":1,"year":"2021","quality_controlled":"1","publisher":"World Scientific","oa":1,"title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","last_name":"Boccato","full_name":"Boccato, Chiara"}],"article_processing_charge":"No","external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/S0129055X20600065.","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060006, World Scientific, 2021, doi:10.1142/S0129055X20600065.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/S0129055X20600065","ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/S0129055X20600065","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021)."},"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"article_number":"2060006"},{"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"8603","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-11T10:03:30Z","date_updated":"2023-08-04T11:02:16Z","ddc":["510"],"scopus_import":"1","month":"03","intvolume":" 74","abstract":[{"text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.","lang":"eng"}],"oa_version":"Published Version","volume":74,"issue":"3","ec_funded":1,"publication_identifier":{"issn":["00103640"],"eissn":["10970312"]},"publication_status":"published","file":[{"file_name":"2021_CommPureApplMath_Frank.pdf","date_created":"2021-03-11T10:03:30Z","file_size":334987,"date_updated":"2021-03-11T10:03:30Z","creator":"dernst","success":1,"checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","file_id":"9236","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"language":[{"iso":"eng"}],"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"author":[{"full_name":"Frank, Rupert","last_name":"Frank","first_name":"Rupert"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","external_id":{"isi":["000572991500001"]},"title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","citation":{"chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.","apa":"Frank, R., & Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21944","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 2021;74(3):544-588. doi:10.1002/cpa.21944","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” Communications on Pure and Applied Mathematics, vol. 74, no. 3. Wiley, pp. 544–588, 2021."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Wiley","quality_controlled":"1","oa":1,"acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","page":"544-588","doi":"10.1002/cpa.21944","date_published":"2021-03-01T00:00:00Z","date_created":"2020-10-04T22:01:37Z","has_accepted_license":"1","isi":1,"year":"2021","day":"01","publication":"Communications on Pure and Applied Mathematics"},{"publisher":"American Physical Society","quality_controlled":"1","oa":1,"acknowledgement":"We are grateful to A. Ghazaryan for valuable discussions and also thank the anonymous referees for comments. D.L. acknowledges financial support from the G¨oran Gustafsson Foundation (grant no. 1804) and LMU Munich. M.L. gratefully acknowledges financial support\r\nby the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 801770).","doi":"10.1103/PhysRevLett.126.015301","date_published":"2021-01-08T00:00:00Z","date_created":"2021-01-17T23:01:10Z","isi":1,"year":"2021","day":"08","publication":"Physical Review Letters","project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770"}],"article_number":"015301","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","last_name":"Brooks","full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko"},{"last_name":"Lundholm","full_name":"Lundholm, D.","first_name":"D."},{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu"}],"external_id":{"isi":["000606325000003"],"arxiv":["2009.05948"]},"article_processing_charge":"No","title":"Molecular impurities as a realization of anyons on the two-sphere","citation":{"apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.126.015301","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” Physical Review Letters, vol. 126, no. 1. American Physical Society, 2021.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:10.1103/PhysRevLett.126.015301.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 126(1), 015301.","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.015301."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.05948"}],"month":"01","intvolume":" 126","abstract":[{"text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field.","lang":"eng"}],"oa_version":"Preprint","related_material":{"link":[{"relation":"press_release","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/","description":"News on IST Homepage"}],"record":[{"status":"public","id":"12390","relation":"dissertation_contains"}]},"volume":126,"issue":"1","ec_funded":1,"publication_identifier":{"issn":["00319007"],"eissn":["10797114"]},"publication_status":"published","language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","status":"public","_id":"9005","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-08-07T13:32:10Z"},{"quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","date_published":"2021-02-26T00:00:00Z","doi":"10.1007/s00205-021-01616-9","date_created":"2021-03-14T23:01:34Z","page":"383-417","day":"26","publication":"Archive for Rational Mechanics and Analysis","isi":1,"has_accepted_license":"1","year":"2021","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","author":[{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold","first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"external_id":{"arxiv":["2001.03993"],"isi":["000622226200001"]},"article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 2021;240:383-417. doi:10.1007/s00205-021-01616-9","apa":"Leopold, N. K., Mitrouskas, D. J., & Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01616-9","short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” Archive for Rational Mechanics and Analysis, vol. 240. Springer Nature, pp. 383–417, 2021.","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.","ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9."},"month":"02","intvolume":" 240","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order."}],"volume":240,"ec_funded":1,"file":[{"date_created":"2021-03-22T08:31:29Z","file_name":"2021_ArchRationalMechAnal_Leopold.pdf","date_updated":"2021-03-22T08:31:29Z","file_size":558006,"creator":"dernst","file_id":"9270","checksum":"23449e44dc5132501a5c86e70638800f","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["00039527"],"eissn":["14320673"]},"publication_status":"published","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"9246","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-22T08:31:29Z","ddc":["510"],"date_updated":"2023-08-07T14:12:27Z"},{"language":[{"iso":"eng"}],"file":[{"date_updated":"2021-03-22T11:01:09Z","file_size":397962,"creator":"dernst","date_created":"2021-03-22T11:01:09Z","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"687fef1525789c0950de90468dd81604","file_id":"9273","success":1}],"publication_status":"published","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"issue":"2","volume":111,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature."}],"intvolume":" 111","month":"03","scopus_import":"1","ddc":["510"],"date_updated":"2023-08-07T14:17:00Z","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-22T11:01:09Z","_id":"9256","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","publication":"Letters in Mathematical Physics","day":"09","year":"2021","has_accepted_license":"1","isi":1,"date_created":"2021-03-21T23:01:19Z","doi":"10.1007/s11005-021-01375-4","date_published":"2021-03-09T00:00:00Z","acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","oa":1,"quality_controlled":"1","publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” Letters in Mathematical Physics, vol. 111, no. 2. Springer Nature, 2021.","apa":"Napiórkowski, M. M., & Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01375-4","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 2021;111(2). doi:10.1007/s11005-021-01375-4","chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31."},"title":"Free energy asymptotics of the quantum Heisenberg spin chain","external_id":{"isi":["000626837400001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_number":"31"},{"file_date_updated":"2021-04-12T07:15:58Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-08-07T14:35:06Z","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"9318","volume":9,"ec_funded":1,"file":[{"creator":"dernst","file_size":883851,"date_updated":"2021-04-12T07:15:58Z","file_name":"2021_ForumMath_Bossmann.pdf","date_created":"2021-04-12T07:15:58Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_id":"9319","checksum":"17a3e6786d1e930cf0c14a880a6d7e92"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["20505094"]},"publication_status":"published","month":"03","intvolume":" 9","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000634006900001"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22.","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.22","apa":"Bossmann, L., Petrat, S. P., & Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.22","ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22."},"project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_number":"e28","date_published":"2021-03-26T00:00:00Z","doi":"10.1017/fms.2021.22","date_created":"2021-04-11T22:01:15Z","day":"26","publication":"Forum of Mathematics, Sigma","has_accepted_license":"1","isi":1,"year":"2021","quality_controlled":"1","publisher":"Cambridge University Press","oa":1,"acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227)."},{"ddc":["510"],"date_updated":"2023-08-08T13:09:28Z","department":[{"_id":"RoSe"}],"file_date_updated":"2021-04-19T10:40:01Z","_id":"9333","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"checksum":"be56c0845a43c0c5c772ee0b5053f7d7","file_id":"9341","creator":"dernst","file_size":438084,"date_updated":"2021-04-19T10:40:01Z","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","date_created":"2021-04-19T10:40:01Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"publication_status":"published","volume":111,"oa_version":"Published Version","abstract":[{"text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation.","lang":"eng"}],"month":"04","intvolume":" 111","scopus_import":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01380-7.","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01380-7","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. 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Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL.","quality_controlled":"1","publisher":"Springer Nature","oa":1},{"quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","page":"2595-2618","date_published":"2021-04-08T00:00:00Z","doi":"10.1007/s00023-021-01044-1","date_created":"2021-04-25T22:01:30Z","has_accepted_license":"1","isi":1,"year":"2021","day":"08","publication":"Annales Henri Poincare","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"author":[{"first_name":"Kay","full_name":"Kirkpatrick, Kay","last_name":"Kirkpatrick"},{"id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"external_id":{"isi":["000638022600001"],"arxiv":["2010.13754"]},"article_processing_charge":"Yes (via OA deal)","title":"A large deviation principle in many-body quantum dynamics","citation":{"apa":"Kirkpatrick, K., Rademacher, S. 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Annales Henri Poincare. 22, 2595–2618.","chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01044-1."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","scopus_import":"1","month":"04","intvolume":" 22","abstract":[{"text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. ","lang":"eng"}],"oa_version":"Published Version","volume":22,"ec_funded":1,"publication_identifier":{"issn":["1424-0637"]},"publication_status":"published","file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"10143","checksum":"1a0fb963f2f415ba470881a794f20eb6","success":1,"date_updated":"2021-10-15T11:15:40Z","file_size":522669,"creator":"cchlebak","date_created":"2021-10-15T11:15:40Z","file_name":"2021_Annales_Kirkpatrick.pdf"}],"language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"9351","department":[{"_id":"RoSe"}],"file_date_updated":"2021-10-15T11:15:40Z","date_updated":"2023-08-08T13:14:40Z","ddc":["530"]},{"acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","publisher":"Elsevier","quality_controlled":"1","oa":1,"day":"07","publication":"Journal of Functional Analysis","isi":1,"year":"2021","doi":"10.1016/j.jfa.2021.109029","date_published":"2021-04-07T00:00:00Z","date_created":"2021-04-25T22:01:29Z","article_number":"109029","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109029.","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029.","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis, vol. 281, no. 3, 109029, Elsevier, 2021, doi:10.1016/j.jfa.2021.109029.","apa":"Brooks, M., & Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109029","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” Journal of Functional Analysis, vol. 281, no. 3. Elsevier, 2021."},"title":"Sharp tunneling estimates for a double-well model in infinite dimension","author":[{"first_name":"Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks","full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928"},{"first_name":"Giacomo","last_name":"Di Gesù","full_name":"Di Gesù, Giacomo"}],"article_processing_charge":"No","external_id":{"isi":["000644702800005"],"arxiv":["1911.03187"]},"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"month":"04","intvolume":" 281","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1911.03187"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"publication_status":"published","volume":281,"issue":"3","_id":"9348","status":"public","type":"journal_article","article_type":"original","date_updated":"2023-08-08T13:15:11Z","department":[{"_id":"RoSe"}]},{"article_number":"109096","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” Journal of Functional Analysis, vol. 281, no. 6. Elsevier, 2021.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 2021;281(6). doi:10.1016/j.jfa.2021.109096","apa":"Deuchert, A., & Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109096","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096."},"title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","author":[{"first_name":"Andreas","full_name":"Deuchert, Andreas","last_name":"Deuchert"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"No","external_id":{"arxiv":["2009.00992"],"isi":["000656508600008"]},"acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","quality_controlled":"1","publisher":"Elsevier","oa":1,"day":"15","publication":"Journal of Functional Analysis","isi":1,"year":"2021","doi":"10.1016/j.jfa.2021.109096","date_published":"2021-09-15T00:00:00Z","date_created":"2021-06-06T22:01:28Z","_id":"9462","status":"public","article_type":"original","type":"journal_article","date_updated":"2023-08-08T13:56:27Z","department":[{"_id":"RoSe"}],"oa_version":"Preprint","abstract":[{"text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions.","lang":"eng"}],"month":"09","intvolume":" 281","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2009.00992","open_access":"1"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"publication_status":"published","issue":"6","volume":281,"ec_funded":1},{"publisher":"AIP Publishing","quality_controlled":"1","oa":1,"acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes.","doi":"10.1063/5.0053494","date_published":"2021-08-01T00:00:00Z","date_created":"2021-08-12T07:08:36Z","has_accepted_license":"1","isi":1,"year":"2021","day":"01","publication":"Journal of Mathematical Physics","article_number":"083305","author":[{"first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard"}],"external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"article_processing_charge":"No","title":"Floating Wigner crystal and periodic jellium configurations","citation":{"mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:10.1063/5.0053494.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021. https://doi.org/10.1063/5.0053494.","ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","scopus_import":"1","month":"08","intvolume":" 62","abstract":[{"text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations.","lang":"eng"}],"oa_version":"Published Version","volume":62,"issue":"8","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"publication_status":"published","file":[{"file_id":"10188","checksum":"d035be2b894c4d50d90ac5ce252e27cd","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2021-10-27T12:57:06Z","file_name":"2021_JMathPhy_Lauritsen.pdf","date_updated":"2021-10-27T12:57:06Z","file_size":4352640,"creator":"cziletti"}],"language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"_id":"9891","file_date_updated":"2021-10-27T12:57:06Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"date_updated":"2023-08-11T10:29:48Z","ddc":["530"]},{"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","_id":"10224","department":[{"_id":"RoSe"}],"file_date_updated":"2021-12-14T08:35:42Z","ddc":["530"],"date_updated":"2023-08-14T10:32:19Z","intvolume":" 242","month":"10","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"ec_funded":1,"issue":"3","related_material":{"record":[{"relation":"earlier_version","id":"9787","status":"public"}]},"volume":242,"language":[{"iso":"eng"}],"file":[{"success":1,"checksum":"672e9c21b20f1a50854b7c821edbb92f","file_id":"10544","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2021_Springer_Feliciangeli.pdf","date_created":"2021-12-14T08:35:42Z","creator":"alisjak","file_size":990529,"date_updated":"2021-12-14T08:35:42Z"}],"publication_status":"published","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2101.12566"],"isi":["000710850600001"]},"author":[{"orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:10.1007/s00205-021-01715-7.","apa":"Feliciangeli, D., & Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01715-7","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7","short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” Archive for Rational Mechanics and Analysis, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7.","ista":"Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906."},"oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","date_created":"2021-11-07T23:01:26Z","doi":"10.1007/s00205-021-01715-7","date_published":"2021-10-25T00:00:00Z","page":"1835–1906","publication":"Archive for Rational Mechanics and Analysis","day":"25","year":"2021","has_accepted_license":"1","isi":1},{"author":[{"first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P"},{"last_name":"Nam","full_name":"Nam, Phan Thành","first_name":"Phan Thành"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2103.08224"],"isi":["000725405700001"]},"article_processing_charge":"No","title":"Bosonization of fermionic many-body dynamics","citation":{"ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. Springer Nature. https://doi.org/10.1007/s00023-021-01136-y","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” Annales Henri Poincaré. Springer Nature, 2021.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).","mla":"Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"doi":"10.1007/s00023-021-01136-y","date_published":"2021-12-02T00:00:00Z","date_created":"2021-12-12T23:01:28Z","isi":1,"year":"2021","day":"02","publication":"Annales Henri Poincaré","quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM). RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates,” and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the ERC-AdG CLaQS (Grant Agreement No. 834782).","department":[{"_id":"RoSe"}],"date_updated":"2023-08-17T06:19:14Z","type":"journal_article","article_type":"original","status":"public","_id":"10537","ec_funded":1,"publication_identifier":{"issn":["1424-0637"]},"publication_status":"published","language":[{"iso":"eng"}],"scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2103.08224","open_access":"1"}],"month":"12","abstract":[{"lang":"eng","text":"We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations."}],"oa_version":"Preprint"},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979, doi:10.1007/s00222-021-01041-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” Inventiones Mathematicae, vol. 225. Springer, pp. 885–979, 2021.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 2021;225:885-979. doi:10.1007/s00222-021-01041-5","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-021-01041-5"},"title":"Correlation energy of a weakly interacting Fermi gas","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","last_name":"Benedikter"},{"full_name":"Nam, Phan Thành","last_name":"Nam","first_name":"Phan Thành"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"day":"03","publication":"Inventiones Mathematicae","isi":1,"has_accepted_license":"1","year":"2021","doi":"10.1007/s00222-021-01041-5","date_published":"2021-05-03T00:00:00Z","date_created":"2020-05-28T16:48:20Z","page":"885-979","acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","quality_controlled":"1","publisher":"Springer","oa":1,"ddc":["510"],"date_updated":"2023-08-21T06:30:30Z","department":[{"_id":"RoSe"}],"file_date_updated":"2022-05-16T12:23:40Z","_id":"7901","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"f38c79dfd828cdc7f49a34b37b83d376","file_id":"11386","success":1,"date_updated":"2022-05-16T12:23:40Z","file_size":1089319,"creator":"dernst","date_created":"2022-05-16T12:23:40Z","file_name":"2021_InventMath_Benedikter.pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0020-9910"],"eissn":["1432-1297"]},"publication_status":"published","volume":225,"ec_funded":1,"oa_version":"Published Version","abstract":[{"text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.","lang":"eng"}],"month":"05","intvolume":" 225","scopus_import":"1"},{"status":"public","type":"journal_article","article_type":"original","_id":"7900","department":[{"_id":"RoSe"}],"date_updated":"2023-09-05T16:07:40Z","month":"01","intvolume":" 33","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation."}],"issue":"1","volume":33,"ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"publication_status":"published","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_number":"2060009","title":"Bosonic collective excitations in Fermi gases","author":[{"orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","last_name":"Benedikter","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["1910.08190"],"isi":["000613313200010"]},"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/s0129055x20600090.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/s0129055x20600090","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/s0129055x20600090","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:10.1142/s0129055x20600090."},"publisher":"World Scientific","quality_controlled":"1","oa":1,"doi":"10.1142/s0129055x20600090","date_published":"2021-01-01T00:00:00Z","date_created":"2020-05-28T16:47:55Z","day":"01","publication":"Reviews in Mathematical Physics","isi":1,"year":"2021"},{"title":"The polaron at strong coupling","external_id":{"arxiv":["1912.12509"],"isi":["000613313200013"]},"article_processing_charge":"No","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.","ieee":"R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical Physics, vol. 33, no. 01. World Scientific Publishing, 2021.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","apa":"Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120","ama":"Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics. 2021;33(01). doi:10.1142/s0129055x20600120","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120."},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"2060012","date_created":"2022-03-18T08:11:34Z","doi":"10.1142/s0129055x20600120","date_published":"2021-02-01T00:00:00Z","publication":"Reviews in Mathematical Physics","day":"01","year":"2021","isi":1,"oa":1,"quality_controlled":"1","publisher":"World Scientific Publishing","acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","department":[{"_id":"RoSe"}],"date_updated":"2023-09-05T16:08:02Z","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","type":"journal_article","article_type":"original","_id":"10852","ec_funded":1,"issue":"01","volume":33,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"intvolume":" 33","month":"02","main_file_link":[{"url":"https://arxiv.org/abs/1912.12509","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}]},{"abstract":[{"text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 111","month":"02","publication_status":"published","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"language":[{"iso":"eng"}],"file":[{"date_created":"2021-03-09T11:44:34Z","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","creator":"dernst","date_updated":"2021-03-09T11:44:34Z","file_size":391205,"checksum":"ffbfe1aad623bce7ff529c207e343b53","file_id":"9232","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"ec_funded":1,"volume":111,"related_material":{"record":[{"status":"public","id":"9733","relation":"dissertation_contains"}]},"_id":"9225","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","date_updated":"2023-09-07T13:30:11Z","ddc":["510"],"file_date_updated":"2021-03-09T11:44:34Z","department":[{"_id":"RoSe"}],"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","oa":1,"quality_controlled":"1","publisher":"Springer Nature","year":"2021","isi":1,"has_accepted_license":"1","publication":"Letters in Mathematical Physics","day":"11","date_created":"2021-03-07T23:01:25Z","doi":"10.1007/s11005-020-01350-5","date_published":"2021-02-11T00:00:00Z","article_number":"19","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"citation":{"mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"isi":["000617195700001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Persistence of the spectral gap for the Landau–Pekar equations"},{"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"preprint","_id":"9787","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-09-07T13:30:10Z","month":"02","main_file_link":[{"url":"https://arxiv.org/abs/2101.12566","open_access":"1"}],"oa_version":"Preprint","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"ec_funded":1,"related_material":{"record":[{"relation":"later_version","id":"10224","status":"public"},{"relation":"dissertation_contains","status":"public","id":"9733"}]},"language":[{"iso":"eng"}],"publication_status":"submitted","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"2101.12566","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","article_processing_charge":"No","external_id":{"arxiv":["2101.12566"]},"author":[{"first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","citation":{"mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566.","apa":"Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” arXiv. .","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.","ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566."},"oa":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","date_created":"2021-08-06T08:25:57Z","date_published":"2021-02-01T00:00:00Z","publication":"arXiv","day":"01","year":"2021","has_accepted_license":"1"},{"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"article_processing_charge":"No","external_id":{"isi":["000733976600004"],"arxiv":["1904.12532"]},"author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold"},{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","citation":{"apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/APDE.2021.14.2079","ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 2021;14(7):2079-2100. doi:10.2140/APDE.2021.14.2079","short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” Analysis and PDE, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079.","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"quality_controlled":"1","publisher":"Mathematical Sciences Publishers","acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n","page":"2079-2100","date_created":"2022-02-06T23:01:33Z","date_published":"2021-11-10T00:00:00Z","doi":"10.2140/APDE.2021.14.2079","year":"2021","isi":1,"publication":"Analysis and PDE","day":"10","type":"journal_article","article_type":"original","status":"public","_id":"10738","department":[{"_id":"RoSe"}],"date_updated":"2023-10-17T11:26:45Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"scopus_import":"1","intvolume":" 14","month":"11","abstract":[{"text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"issue":"7","volume":14,"publication_status":"published","publication_identifier":{"issn":["2157-5045"],"eissn":["1948-206X"]},"language":[{"iso":"eng"}]},{"status":"public","type":"preprint","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"9792","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"ddc":["510"],"date_updated":"2023-11-14T13:21:01Z","month":"07","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2106.11217","open_access":"1"}],"oa_version":"Preprint","abstract":[{"text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem.","lang":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"9733","status":"public"},{"status":"public","id":"10030","relation":"dissertation_contains"},{"status":"public","id":"12911","relation":"later_version"}]},"ec_funded":1,"language":[{"iso":"eng"}],"publication_status":"submitted","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"article_number":"2106.11217","title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","author":[{"last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario"},{"full_name":"Gerolin, Augusto","last_name":"Gerolin","first_name":"Augusto"},{"last_name":"Portinale","full_name":"Portinale, Lorenzo","first_name":"Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2106.11217"]},"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.","ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, 2106.11217, doi:10.48550/arXiv.2106.11217.","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. https://doi.org/10.48550/arXiv.2106.11217","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. doi:10.48550/arXiv.2106.11217","short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. ."},"oa":1,"acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","date_published":"2021-07-21T00:00:00Z","doi":"10.48550/arXiv.2106.11217","date_created":"2021-08-06T09:07:12Z","day":"21","publication":"arXiv","has_accepted_license":"1","year":"2021"},{"oa_version":"Preprint","abstract":[{"text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2.","lang":"eng"}],"month":"10","intvolume":" 3","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"publication_status":"published","volume":3,"issue":"4","ec_funded":1,"_id":"14889","status":"public","type":"journal_article","article_type":"original","date_updated":"2024-02-05T10:02:45Z","department":[{"_id":"RoSe"}],"acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","quality_controlled":"1","publisher":"Mathematical Sciences Publishers","oa":1,"day":"01","publication":"Pure and Applied Analysis","year":"2021","doi":"10.2140/paa.2021.3.653","date_published":"2021-10-01T00:00:00Z","date_created":"2024-01-28T23:01:43Z","page":"653-676","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.653","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.","ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676."},"title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold"},{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"external_id":{"arxiv":["2005.02098"]},"article_processing_charge":"No"},{"department":[{"_id":"RoSe"}],"date_updated":"2024-02-05T09:26:31Z","status":"public","type":"journal_article","article_type":"original","_id":"14890","ec_funded":1,"issue":"4","volume":3,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"intvolume":" 3","month":"10","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1912.11004"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in terms of the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the condensate, as well as the reduced densities of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. In this way, the complex problem of computing all n-point correlation functions for an interacting N-body system is essentially reduced to the problem of solving the Hartree equation and the PDEs for the Bogoliubov two-point functions.","lang":"eng"}],"title":"Beyond Bogoliubov dynamics","external_id":{"arxiv":["1912.11004"]},"article_processing_charge":"No","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"},{"full_name":"Soffer, Avy","last_name":"Soffer","first_name":"Avy"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 2021;3(4):677-726. doi:10.2140/paa.2021.3.677","apa":"Bossmann, L., Petrat, S. P., Pickl, P., & Soffer, A. (2021). Beyond Bogoliubov dynamics. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.677","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:10.2140/paa.2021.3.677.","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726.","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.677."},"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"date_created":"2024-01-28T23:01:43Z","doi":"10.2140/paa.2021.3.677","date_published":"2021-10-01T00:00:00Z","page":"677-726","publication":"Pure and Applied Analysis","day":"01","year":"2021","oa":1,"publisher":"Mathematical Sciences Publishers","quality_controlled":"1","acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411."},{"ddc":["515","519","539"],"supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"},{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","last_name":"Maas","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338"}],"date_updated":"2024-03-06T12:30:44Z","file_date_updated":"2022-03-10T12:13:57Z","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"_id":"9733","status":"public","type":"dissertation","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"file":[{"creator":"dfelicia","file_size":1958710,"date_updated":"2021-09-06T09:28:56Z","file_name":"Thesis_FeliciangeliA.pdf","date_created":"2021-08-19T14:03:48Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"e88bb8ca43948abe060eb2d2fa719881","file_id":"9944"},{"relation":"source_file","access_level":"closed","content_type":"application/octet-stream","file_id":"9945","checksum":"72810843abee83705853505b3f8348aa","creator":"dfelicia","file_size":3771669,"date_updated":"2022-03-10T12:13:57Z","file_name":"thesis.7z","date_created":"2021-08-19T14:06:35Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","degree_awarded":"PhD","related_material":{"record":[{"status":"public","id":"9787","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"9792","status":"public"},{"id":"9225","status":"public","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"9781","status":"public"},{"relation":"part_of_dissertation","id":"9791","status":"public"}]},"ec_funded":1,"license":"https://creativecommons.org/licenses/by-nd/4.0/","oa_version":"Published Version","abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"month":"08","alternative_title":["ISTA Thesis"],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9733.","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:10.15479/at:ista:9733","apa":"Feliciangeli, D. (2021). The polaron at strong coupling. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9733","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.","ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria."},"title":"The polaron at strong coupling","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli"}],"article_processing_charge":"No","project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"day":"20","has_accepted_license":"1","year":"2021","doi":"10.15479/at:ista:9733","date_published":"2021-08-20T00:00:00Z","date_created":"2021-07-27T15:48:30Z","page":"180","publisher":"Institute of Science and Technology Austria","oa":1},{"ddc":["510"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2024-03-06T12:30:45Z","citation":{"ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” arXiv. .","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. arXiv.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720."},"title":"The effective mass problem for the Landau-Pekar equations","department":[{"_id":"RoSe"}],"author":[{"orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","external_id":{"arxiv":["2107.03720"]},"article_number":"2107.03720 ","_id":"9791","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"status":"public","type":"preprint","day":"08","publication":"arXiv","language":[{"iso":"eng"}],"publication_status":"submitted","year":"2021","related_material":{"record":[{"status":"public","id":"10755","relation":"later_version"},{"id":"9733","status":"public","relation":"dissertation_contains"}]},"date_published":"2021-07-08T00:00:00Z","ec_funded":1,"date_created":"2021-08-06T08:49:45Z","oa_version":"Preprint","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","abstract":[{"text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar.","lang":"eng"}],"month":"07","main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"oa":1},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374. Springer Nature, pp. 2097–2150, 2020.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5."},"title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","author":[{"first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","last_name":"Benedikter"},{"first_name":"Phan Thành","full_name":"Nam, Phan Thành","last_name":"Nam"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"article_processing_charge":"No","external_id":{"arxiv":["1809.01902"],"isi":["000527910700019"]},"project":[{"_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","call_identifier":"FWF","name":"FWF Open Access Fund"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"day":"01","publication":"Communications in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2020","doi":"10.1007/s00220-019-03505-5","date_published":"2020-03-01T00:00:00Z","date_created":"2019-07-18T13:30:04Z","page":"2097–2150","publisher":"Springer Nature","quality_controlled":"1","oa":1,"ddc":["530"],"date_updated":"2023-08-17T13:51:50Z","file_date_updated":"2020-07-14T12:47:35Z","department":[{"_id":"RoSe"}],"_id":"6649","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"date_updated":"2020-07-14T12:47:35Z","file_size":853289,"creator":"dernst","date_created":"2019-07-24T07:19:10Z","file_name":"2019_CommMathPhysics_Benedikter.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"f9dd6dd615a698f1d3636c4a092fed23","file_id":"6668"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"publication_status":"published","volume":374,"ec_funded":1,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"month":"03","intvolume":" 374","scopus_import":"1"},{"intvolume":" 178","month":"02","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution."}],"ec_funded":1,"volume":178,"language":[{"iso":"eng"}],"file":[{"success":1,"file_id":"8780","checksum":"643e230bf147e64d9cdb3f6cc573679d","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2020_JournStatPhysics_Bossmann.pdf","date_created":"2020-11-20T09:26:46Z","creator":"dernst","file_size":576726,"date_updated":"2020-11-20T09:26:46Z"}],"publication_status":"published","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","_id":"7508","department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-20T09:26:46Z","ddc":["510"],"date_updated":"2023-08-18T06:37:46Z","oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","date_created":"2020-02-23T09:45:51Z","date_published":"2020-02-21T00:00:00Z","doi":"10.1007/s10955-020-02500-8","page":"1362-1396","publication":"Journal of Statistical Physics","day":"21","year":"2020","has_accepted_license":"1","isi":1,"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","external_id":{"arxiv":["1905.06164"],"isi":["000516342200001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","last_name":"Bossmann"},{"first_name":"Nataša","last_name":"Pavlović","full_name":"Pavlović, Nataša"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"},{"first_name":"Avy","full_name":"Soffer, Avy","last_name":"Soffer"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396.","chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8.","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020.","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. 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We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 ."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 8","month":"03","date_updated":"2023-08-21T06:18:49Z","ddc":["510"],"file_date_updated":"2020-07-14T12:48:03Z","department":[{"_id":"RoSe"}],"_id":"7790","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","year":"2020","has_accepted_license":"1","isi":1,"publication":"Forum of Mathematics, Sigma","day":"14","date_created":"2020-05-03T22:00:48Z","date_published":"2020-03-14T00:00:00Z","doi":"10.1017/fms.2020.17","oa":1,"publisher":"Cambridge University Press","quality_controlled":"1","citation":{"chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8. Cambridge University Press, 2020.","short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2020.17","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","external_id":{"isi":["000527342000001"],"arxiv":["1910.03372"]},"author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","full_name":"Mayer, Simon"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","article_number":"e20","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}]},{"status":"public","article_type":"original","type":"journal_article","_id":"8042","department":[{"_id":"RoSe"}],"date_updated":"2023-08-22T07:47:04Z","month":"07","intvolume":" 22","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1704.04819","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N."}],"volume":22,"issue":"7","language":[{"iso":"eng"}],"publication_identifier":{"issn":["14359855"]},"publication_status":"published","title":"The excitation spectrum of Bose gases interacting through singular potentials","author":[{"last_name":"Boccato","full_name":"Boccato, Chiara","first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Christian","full_name":"Brennecke, Christian","last_name":"Brennecke"},{"first_name":"Serena","last_name":"Cenatiempo","full_name":"Cenatiempo, Serena"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"external_id":{"arxiv":["1704.04819"],"isi":["000548174700006"]},"article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society. European Mathematical Society, 2020. https://doi.org/10.4171/JEMS/966."},"quality_controlled":"1","publisher":"European Mathematical Society","oa":1,"date_published":"2020-07-01T00:00:00Z","doi":"10.4171/JEMS/966","date_created":"2020-06-29T07:59:35Z","page":"2331-2403","day":"01","publication":"Journal of the European Mathematical Society","isi":1,"year":"2020"},{"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","_id":"8091","file_date_updated":"2020-11-25T15:05:04Z","department":[{"_id":"RoSe"}],"ddc":["530"],"date_updated":"2023-08-22T07:51:47Z","intvolume":" 181","month":"10","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level."}],"ec_funded":1,"volume":181,"language":[{"iso":"eng"}],"file":[{"date_created":"2020-11-25T15:05:04Z","file_name":"2020_JourStatPhysics_Seiringer.pdf","creator":"dernst","date_updated":"2020-11-25T15:05:04Z","file_size":404778,"checksum":"5cbeef52caf18d0d952f17fed7b5545a","file_id":"8812","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"issn":["00224715"],"eissn":["15729613"]},"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2001.07144"],"isi":["000543030000002"]},"author":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” Journal of Statistical Physics, vol. 181. Springer, pp. 448–464, 2020.","short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 2020;181:448-464. doi:10.1007/s10955-020-02586-0","apa":"Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-020-02586-0","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.","ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.","chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0."},"oa":1,"quality_controlled":"1","publisher":"Springer","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","date_created":"2020-07-05T22:00:46Z","doi":"10.1007/s10955-020-02586-0","date_published":"2020-10-01T00:00:00Z","page":"448-464","publication":"Journal of Statistical Physics","day":"01","year":"2020","isi":1,"has_accepted_license":"1"},{"article_number":"061901","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"citation":{"ieee":"S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. II. Upper bound,” Journal of Mathematical Physics, vol. 61, no. 6. AIP Publishing, 2020.","short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).","apa":"Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0005950","ama":"Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 2020;61(6). doi:10.1063/5.0005950","mla":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:10.1063/5.0005950.","ista":"Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.","chicago":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0005950."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Mayer, Simon","last_name":"Mayer","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"external_id":{"isi":["000544595100001"],"arxiv":["2002.08281"]},"article_processing_charge":"No","title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","quality_controlled":"1","publisher":"AIP Publishing","oa":1,"isi":1,"year":"2020","day":"22","publication":"Journal of Mathematical Physics","doi":"10.1063/5.0005950","date_published":"2020-06-22T00:00:00Z","date_created":"2020-07-19T22:00:59Z","_id":"8134","article_type":"original","type":"journal_article","status":"public","date_updated":"2023-08-22T08:12:40Z","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion."}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2002.08281"}],"month":"06","intvolume":" 61","publication_identifier":{"issn":["00222488"]},"publication_status":"published","language":[{"iso":"eng"}],"issue":"6","volume":61,"ec_funded":1},{"oa":1,"publisher":"American Physical Society","quality_controlled":"1","acknowledgement":"We are grateful to M. Correggi, A. Deuchert, and P. Schmelcher for valuable discussions. We also thank the anonymous referees for helping to clarify a few important points in the experimental realization. A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement\r\nNo 754411. D.L. acknowledges financial support from the Goran Gustafsson Foundation (grant no. 1804) and LMU Munich. R.S., M.L., and N.R. gratefully acknowledge financial support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 694227, No 801770, and No 758620, respectively).","date_created":"2020-11-18T07:34:17Z","date_published":"2020-10-01T00:00:00Z","doi":"10.1103/physrevb.102.144109","publication":"Physical Review B","day":"01","year":"2020","isi":1,"project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770"}],"article_number":"144109","title":"Quantum impurity model for anyons","external_id":{"arxiv":["1912.07890"],"isi":["000582563300001"]},"article_processing_charge":"No","author":[{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu"},{"id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","first_name":"Areg","orcid":"0000-0001-9666-3543","full_name":"Ghazaryan, Areg","last_name":"Ghazaryan"},{"full_name":"Lundholm, D.","last_name":"Lundholm","first_name":"D."},{"first_name":"N.","last_name":"Rougerie","full_name":"Rougerie, N."},{"last_name":"Lemeshko","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","ieee":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, and R. Seiringer, “Quantum impurity model for anyons,” Physical Review B, vol. 102, no. 14. American Physical Society, 2020.","ama":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. Quantum impurity model for anyons. Physical Review B. 2020;102(14). doi:10.1103/physrevb.102.144109","apa":"Yakaboylu, E., Ghazaryan, A., Lundholm, D., Rougerie, N., Lemeshko, M., & Seiringer, R. (2020). Quantum impurity model for anyons. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.102.144109","mla":"Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” Physical Review B, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:10.1103/physrevb.102.144109.","ista":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. 2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109.","chicago":"Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” Physical Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.102.144109."},"intvolume":" 102","month":"10","main_file_link":[{"url":"https://arxiv.org/abs/1912.07890","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have not yet been unambiguously detected in experiment. Here we introduce a simple quantum impurity model, where bosonic or fermionic impurities turn into anyons as a consequence of their interaction with the surrounding many-particle bath. A cloud of phonons dresses each impurity in such a way that it effectively attaches fluxes or vortices to it and thereby converts it into an Abelian anyon. The corresponding quantum impurity model, first, provides a different approach to the numerical solution of the many-anyon problem, along with a concrete perspective of anyons as emergent quasiparticles built from composite bosons or fermions. More importantly, the model paves the way toward realizing anyons using impurities in crystal lattices as well as ultracold gases. In particular, we consider two heavy electrons interacting with a two-dimensional lattice crystal in a magnetic field, and show that when the impurity-bath system is rotated at the cyclotron frequency, impurities behave as anyons as a consequence of the angular momentum exchange between the impurities and the bath. A possible experimental realization is proposed by identifying the statistics parameter in terms of the mean-square distance of the impurities and the magnetization of the impurity-bath system, both of which are accessible to experiment. Another proposed application is impurities immersed in a two-dimensional weakly interacting Bose gas.","lang":"eng"}],"ec_funded":1,"issue":"14","volume":102,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"status":"public","article_type":"original","type":"journal_article","_id":"8769","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-05T12:12:30Z"},{"external_id":{"isi":["000519415000001"],"arxiv":["1901.11363"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","citation":{"mla":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.","apa":"Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01489-4","ama":"Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271. doi:10.1007/s00205-020-01489-4","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.","ieee":"A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature,” Archive for Rational Mechanics and Analysis, vol. 236, no. 6. Springer Nature, pp. 1217–1271, 2020.","chicago":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.","ista":"Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6), 1217–1271."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"page":"1217-1271","date_created":"2020-04-08T15:18:03Z","date_published":"2020-03-09T00:00:00Z","doi":"10.1007/s00205-020-01489-4","year":"2020","isi":1,"has_accepted_license":"1","publication":"Archive for Rational Mechanics and Analysis","day":"09","oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). It is a pleasure to thank Jakob Yngvason for helpful discussions. Financial support by the European Research Council (ERC) under the European Union’sHorizon 2020 research and innovation programme (Grant Agreement No. 694227) is gratefully acknowledged. A. D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 836146.","file_date_updated":"2020-11-20T13:17:42Z","department":[{"_id":"RoSe"}],"date_updated":"2023-09-05T14:18:49Z","ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","_id":"7650","ec_funded":1,"issue":"6","volume":236,"publication_status":"published","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"b645fb64bfe95bbc05b3eea374109a9c","file_id":"8785","file_size":704633,"date_updated":"2020-11-20T13:17:42Z","creator":"dernst","file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","date_created":"2020-11-20T13:17:42Z"}],"scopus_import":"1","intvolume":" 236","month":"03","abstract":[{"text":"We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross–Pitaevskii limit, where the scattering length a is so small that the interaction energy is of the same order of magnitude as the spectral gap of the Laplacian, and for temperatures that are comparable to the critical temperature of the ideal gas. We show that the difference between the specific free energy of the interacting system and the one of the ideal gas is to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show that the one-particle density matrix of any approximate minimizer of the Gibbs free energy functional is to leading order given by the one of the ideal gas. This in particular proves Bose–Einstein condensation with critical temperature given by the one of the ideal gas to leading order. One key ingredient of our proof is a novel use of the Gibbs variational principle that goes hand in hand with the c-number substitution.","lang":"eng"}],"oa_version":"Published Version"},{"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"apa":"Bossmann, L. (2020). Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01548-w","ama":"Bossmann L. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 2020;238(11):541-606. doi:10.1007/s00205-020-01548-w","short":"L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.","ieee":"L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons,” Archive for Rational Mechanics and Analysis, vol. 238, no. 11. Springer Nature, pp. 541–606, 2020.","mla":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” Archive for Rational Mechanics and Analysis, vol. 238, no. 11, Springer Nature, 2020, pp. 541–606, doi:10.1007/s00205-020-01548-w.","ista":"Bossmann L. 2020. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 238(11), 541–606.","chicago":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01548-w."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"last_name":"Bossmann","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"}],"external_id":{"arxiv":["1907.04547"],"isi":["000550164400001"]},"article_processing_charge":"Yes (via OA deal)","title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). I thank Stefan Teufel for helpful remarks and for his involvement in the closely related joint project [10]. Helpful discussions with Serena Cenatiempo and Nikolai Leopold are gratefully acknowledged. This work was supported by the German Research Foundation within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems” and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","publisher":"Springer Nature","quality_controlled":"1","oa":1,"has_accepted_license":"1","isi":1,"year":"2020","day":"01","publication":"Archive for Rational Mechanics and Analysis","page":"541-606","doi":"10.1007/s00205-020-01548-w","date_published":"2020-11-01T00:00:00Z","date_created":"2020-07-18T15:06:35Z","_id":"8130","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","date_updated":"2023-09-05T14:19:06Z","ddc":["510"],"file_date_updated":"2020-12-02T08:50:38Z","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We study the dynamics of a system of N interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to an interval of length of order ε. The interaction is non-negative and scaled in such a way that its scattering length is of order ε/N, while its range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein condensation. We prove that condensation is preserved by the N-body dynamics, where the time-evolved condensate wave function is the solution of a two-dimensional non-linear equation. The strength of the non-linearity depends on the scaling parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the scattering length of the interaction. In both cases, the coupling parameter depends on the confining potential."}],"oa_version":"Published Version","scopus_import":"1","month":"11","intvolume":" 238","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"publication_status":"published","file":[{"file_name":"2020_ArchiveRatMech_Bossmann.pdf","date_created":"2020-12-02T08:50:38Z","creator":"dernst","file_size":942343,"date_updated":"2020-12-02T08:50:38Z","success":1,"checksum":"cc67a79a67bef441625fcb1cd031db3d","file_id":"8826","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"volume":238,"issue":"11","ec_funded":1},{"citation":{"ama":"Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 2020;180:23-33. doi:10.1007/s10955-019-02322-3","apa":"Lieb, E. H., & Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-019-02322-3","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","ieee":"E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” Journal of Statistical Physics, vol. 180. Springer Nature, pp. 23–33, 2020.","mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.","ista":"Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.","chicago":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000556199700003"]},"title":"Divergence of the effective mass of a polaron in the strong coupling limit","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"has_accepted_license":"1","isi":1,"year":"2020","day":"01","publication":"Journal of Statistical Physics","page":"23-33","date_published":"2020-09-01T00:00:00Z","doi":"10.1007/s10955-019-02322-3","date_created":"2020-01-07T09:42:03Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged.","publisher":"Springer Nature","quality_controlled":"1","oa":1,"date_updated":"2023-09-05T14:57:29Z","ddc":["510","530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-19T11:13:55Z","_id":"7235","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"publication_status":"published","file":[{"file_name":"2020_JourStatPhysics_Lieb.pdf","date_created":"2020-11-19T11:13:55Z","file_size":279749,"date_updated":"2020-11-19T11:13:55Z","creator":"dernst","success":1,"file_id":"8774","checksum":"1e67bee6728592f7bdcea2ad2d9366dc","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"language":[{"iso":"eng"}],"volume":180,"ec_funded":1,"abstract":[{"lang":"eng","text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit."}],"oa_version":"Published Version","scopus_import":"1","month":"09","intvolume":" 180"},{"scopus_import":"1","intvolume":" 110","month":"03","abstract":[{"text":"We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem.","lang":"eng"}],"oa_version":"Published Version","ec_funded":1,"volume":110,"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"language":[{"iso":"eng"}],"file":[{"file_name":"2020_LettersMathPhysics_Rademacher.pdf","date_created":"2020-11-20T12:04:26Z","file_size":478683,"date_updated":"2020-11-20T12:04:26Z","creator":"dernst","success":1,"checksum":"3bdd41f10ad947b67a45b98f507a7d4a","file_id":"8784","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","_id":"7611","file_date_updated":"2020-11-20T12:04:26Z","department":[{"_id":"RoSe"}],"date_updated":"2023-09-05T15:14:50Z","ddc":["510"],"oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"Simone Rademacher acknowledges partial support from the NCCR SwissMAP. This project has received\r\nfunding from the European Union’s Horizon 2020 research and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R. would like to thank Benjamin Schlein for many fruitful discussions.","page":"2143-2174","date_created":"2020-03-23T11:11:47Z","date_published":"2020-03-12T00:00:00Z","doi":"10.1007/s11005-020-01286-w","year":"2020","has_accepted_license":"1","isi":1,"publication":"Letters in Mathematical Physics","day":"12","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"external_id":{"isi":["000551556000006"]},"article_processing_charge":"Yes (via OA deal)","author":[{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"}],"title":"Central limit theorem for Bose gases interacting through singular potentials","citation":{"chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.","apa":"Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01286-w","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, vol. 110. Springer Nature, pp. 2143–2174, 2020."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_processing_charge":"No","author":[{"last_name":"Mayer","full_name":"Mayer, Simon","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"}],"title":"The free energy of a dilute two-dimensional Bose gas","citation":{"chicago":"Mayer, Simon. “The Free Energy of a Dilute Two-Dimensional Bose Gas.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7514.","ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","mla":"Mayer, Simon. The Free Energy of a Dilute Two-Dimensional Bose Gas. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7514.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.","ieee":"S. Mayer, “The free energy of a dilute two-dimensional Bose gas,” Institute of Science and Technology Austria, 2020.","ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514","apa":"Mayer, S. (2020). The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7514"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"publisher":"Institute of Science and Technology Austria","page":"148","date_created":"2020-02-24T09:17:27Z","date_published":"2020-02-24T00:00:00Z","doi":"10.15479/AT:ISTA:7514","year":"2020","has_accepted_license":"1","day":"24","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"dissertation","status":"public","_id":"7514","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"file_date_updated":"2020-07-14T12:47:59Z","date_updated":"2023-09-07T13:12:42Z","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"ddc":["510"],"alternative_title":["ISTA Thesis"],"month":"02","abstract":[{"text":"We study the interacting homogeneous Bose gas in two spatial dimensions in the thermodynamic limit at fixed density. We shall be concerned with some mathematical aspects of this complicated problem in many-body quantum mechanics. More specifically, we consider the dilute limit where the scattering length of the interaction potential, which is a measure for the effective range of the potential, is small compared to the average distance between the particles. We are interested in a setting with positive (i.e., non-zero) temperature. After giving a survey of the relevant literature in the field, we provide some facts and examples to set expectations for the two-dimensional system. The crucial difference to the three-dimensional system is that there is no Bose–Einstein condensate at positive temperature due to the Hohenberg–Mermin–Wagner theorem. However, it turns out that an asymptotic formula for the free energy holds similarly to the three-dimensional case.\r\nWe motivate this formula by considering a toy model with δ interaction potential. By restricting this model Hamiltonian to certain trial states with a quasi-condensate we obtain an upper bound for the free energy that still has the quasi-condensate fraction as a free parameter. When minimizing over the quasi-condensate fraction, we obtain the Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity, which plays an important role in our rigorous contribution. The mathematically rigorous result that we prove concerns the specific free energy in the dilute limit. We give upper and lower bounds on the free energy in terms of the free energy of the non-interacting system and a correction term coming from the interaction. Both bounds match and thus we obtain the leading term of an asymptotic approximation in the dilute limit, provided the thermal wavelength of the particles is of the same order (or larger) than the average distance between the particles. The remarkable feature of this result is its generality: the correction term depends on the interaction potential only through its scattering length and it holds for all nonnegative interaction potentials with finite scattering length that are measurable. In particular, this allows to model an interaction of hard disks.","lang":"eng"}],"oa_version":"Published Version","ec_funded":1,"related_material":{"record":[{"id":"7524","status":"public","relation":"part_of_dissertation"}]},"degree_awarded":"PhD","publication_status":"published","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"file":[{"file_size":1563429,"date_updated":"2020-07-14T12:47:59Z","creator":"dernst","file_name":"thesis.pdf","date_created":"2020-02-24T09:15:06Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_id":"7515","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6"},{"access_level":"closed","relation":"source_file","content_type":"application/x-zip-compressed","file_id":"7516","checksum":"ad7425867b52d7d9e72296e87bc9cb67","creator":"dernst","date_updated":"2020-07-14T12:47:59Z","file_size":2028038,"date_created":"2020-02-24T09:15:16Z","file_name":"thesis_source.zip"}]},{"project":[{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment"},{"call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770"},{"call_identifier":"FWF","_id":"26986C82-B435-11E9-9278-68D0E5697425","grant_number":"M02641","name":"A path-integral approach to composite impurities"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_number":"164302","title":"Intermolecular forces and correlations mediated by a phonon bath","author":[{"last_name":"Li","full_name":"Li, Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang"},{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp"},{"last_name":"Bighin","orcid":"0000-0001-8823-9777","full_name":"Bighin, Giacomo","first_name":"Giacomo","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Schmidt","full_name":"Schmidt, Richard","first_name":"Richard"},{"last_name":"Lemeshko","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail"},{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","external_id":{"isi":["000530448300001"],"arxiv":["1912.02658"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","ieee":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert, “Intermolecular forces and correlations mediated by a phonon bath,” The Journal of Chemical Physics, vol. 152, no. 16. AIP Publishing, 2020.","apa":"Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., & Deuchert, A. (2020). Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/1.5144759","ama":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 2020;152(16). doi:10.1063/1.5144759","mla":"Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics, vol. 152, no. 16, 164302, AIP Publishing, 2020, doi:10.1063/1.5144759.","ista":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. 2020. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 152(16), 164302.","chicago":"Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics. AIP Publishing, 2020. https://doi.org/10.1063/1.5144759."},"publisher":"AIP Publishing","quality_controlled":"1","oa":1,"acknowledgement":"We are grateful to Areg Ghazaryan for valuable discussions. M.L. acknowledges support from the Austrian Science Fund (FWF) under Project No. P29902-N27 and from the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). G.B. acknowledges support from the Austrian Science Fund (FWF) under Project No. M2461-N27. A.D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the European Research Council (ERC) Grant Agreement No. 694227 and under the Marie Sklodowska-Curie Grant Agreement No. 836146. R.S. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111 – 390814868.","doi":"10.1063/1.5144759","date_published":"2020-04-27T00:00:00Z","date_created":"2020-09-30T10:33:17Z","day":"27","publication":"The Journal of Chemical Physics","isi":1,"year":"2020","status":"public","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"article_type":"original","type":"journal_article","_id":"8587","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-07T13:16:42Z","month":"04","intvolume":" 152","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.02658"}],"oa_version":"Preprint","abstract":[{"text":"Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlations between two diatomic molecules immersed in a bath of bosons. By analogy with the bipolaron, we introduce the biangulon quasiparticle describing two rotating molecules that align with respect to each other due to the effective attractive interaction mediated by the excitations of the bath. We study this system in different parameter regimes and apply several theoretical approaches to describe its properties. Using a Born–Oppenheimer approximation, we investigate the dependence of the effective intermolecular interaction on the rotational state of the two molecules. In the strong-coupling regime, a product-state ansatz shows that the molecules tend to have a strong alignment in the ground state. To investigate the system in the weak-coupling regime, we apply a one-phonon excitation variational ansatz, which allows us to access the energy spectrum. In comparison to the angulon quasiparticle, the biangulon shows shifted angulon instabilities and an additional spectral instability, where resonant angular momentum transfer between the molecules and the bath takes place. These features are proposed as an experimentally observable signature for the formation of the biangulon quasiparticle. Finally, by using products of single angulon and bare impurity wave functions as basis states, we introduce a diagonalization scheme that allows us to describe the transition from two separated angulons to a biangulon as a function of the distance between the two molecules.","lang":"eng"}],"related_material":{"record":[{"id":"8958","status":"public","relation":"dissertation_contains"}]},"volume":152,"issue":"16","ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"publication_status":"published"},{"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"publication_status":"published","related_material":{"record":[{"id":"9733","status":"public","relation":"dissertation_contains"}]},"volume":52,"issue":"1","ec_funded":1,"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum."}],"month":"02","intvolume":" 52","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.08647"}],"ddc":["510"],"date_updated":"2023-09-07T13:30:11Z","department":[{"_id":"RoSe"}],"_id":"9781","status":"public","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"article_type":"original","type":"journal_article","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"day":"12","publication":"SIAM Journal on Mathematical Analysis","isi":1,"has_accepted_license":"1","year":"2020","date_published":"2020-02-12T00:00:00Z","doi":"10.1137/19m126284x","date_created":"2021-08-06T07:34:16Z","page":"605-622","acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","quality_controlled":"1","publisher":"Society for Industrial & Applied Mathematics ","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” SIAM Journal on Mathematical Analysis, vol. 52, no. 1. Society for Industrial & Applied Mathematics , pp. 605–622, 2020.","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 2020;52(1):605-622. doi:10.1137/19m126284x","apa":"Feliciangeli, D., & Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics . https://doi.org/10.1137/19m126284x","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis, vol. 52, no. 1, Society for Industrial & Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x."},"title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","author":[{"last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"article_processing_charge":"No","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}]},{"citation":{"ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.","apa":"Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-020-00969-3","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020;21(12):4003-4025. doi:10.1007/s00023-020-00969-3","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” Annales Henri Poincare, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"year":"2020","isi":1,"has_accepted_license":"1","publication":"Annales Henri Poincare","day":"01","page":"4003-4025","date_created":"2020-10-25T23:01:19Z","date_published":"2020-12-01T00:00:00Z","doi":"10.1007/s00023-020-00969-3","acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)","oa":1,"publisher":"Springer Nature","quality_controlled":"1","date_updated":"2023-09-07T13:43:51Z","ddc":["530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-10-27T12:49:04Z","_id":"8705","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","publication_status":"published","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"file":[{"creator":"cziletti","file_size":469831,"date_updated":"2020-10-27T12:49:04Z","file_name":"2020_Annales_Mysliwy.pdf","date_created":"2020-10-27T12:49:04Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"checksum":"c12c9c1e6f08def245e42f3cb1d83827","file_id":"8711"}],"ec_funded":1,"volume":21,"issue":"12","related_material":{"record":[{"relation":"dissertation_contains","id":"11473","status":"public"}]},"abstract":[{"text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 21","month":"12"},{"volume":2,"issue":"1","publication_status":"published","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1903.04046"}],"scopus_import":"1","intvolume":" 2","month":"01","abstract":[{"text":"We give the first mathematically rigorous justification of the local density approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy–Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the uniform electron gas energy of this density. The error involves gradient terms and justifies the use of the local density approximation in the situation where the density is very flat on sufficiently large regions in space.","lang":"eng"}],"oa_version":"Preprint","department":[{"_id":"RoSe"}],"date_updated":"2024-01-29T09:01:12Z","article_type":"original","type":"journal_article","status":"public","_id":"14891","page":"35-73","date_created":"2024-01-28T23:01:44Z","doi":"10.2140/paa.2020.2.35","date_published":"2020-01-01T00:00:00Z","year":"2020","publication":"Pure and Applied Analysis","day":"01","oa":1,"publisher":"Mathematical Sciences Publishers","quality_controlled":"1","external_id":{"arxiv":["1903.04046"]},"article_processing_charge":"No","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"last_name":"Lieb","full_name":"Lieb, Elliott H.","first_name":"Elliott H."},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"title":" The local density approximation in density functional theory","citation":{"chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35.","ista":"Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.","mla":"Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation in density functional theory,” Pure and Applied Analysis, vol. 2, no. 1. Mathematical Sciences Publishers, pp. 35–73, 2020.","ama":"Lewin M, Lieb EH, Seiringer R. The local density approximation in density functional theory. 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(Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential.","lang":"eng"}],"month":"06","intvolume":" 376","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1812.03086","open_access":"1"}],"date_updated":"2024-02-22T13:33:02Z","department":[{"_id":"RoSe"}],"_id":"6906","status":"public","article_type":"original","type":"journal_article","day":"01","publication":"Communications in Mathematical Physics","isi":1,"year":"2020","date_published":"2020-06-01T00:00:00Z","doi":"10.1007/s00220-019-03555-9","date_created":"2019-09-24T17:30:59Z","page":"1311-1395","acknowledgement":"We would like to thank P. T. Nam and R. Seiringer for several useful discussions and\r\nfor suggesting us to use the localization techniques from [9]. C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges support from the NCCR SwissMAP and from the Swiss National Foundation of Science (Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties of Bose–Einstein condensates”.","publisher":"Springer","quality_controlled":"1","oa":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications in Mathematical Physics, vol. 376. Springer, pp. 1311–1395, 2020.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics 376 (2020) 1311–1395.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-019-03555-9","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 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Springer, 2020. https://doi.org/10.1007/s00220-019-03555-9."},"title":"Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime","author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","last_name":"Boccato","full_name":"Boccato, Chiara"},{"first_name":"Christian","last_name":"Brennecke","full_name":"Brennecke, Christian"},{"last_name":"Cenatiempo","full_name":"Cenatiempo, Serena","first_name":"Serena"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"}],"external_id":{"isi":["000536053300012"],"arxiv":["1812.03086"]},"article_processing_charge":"No","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}]},{"abstract":[{"text":"The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions.","lang":"eng"}],"oa_version":"None","publisher":"European Mathematical Society","quality_controlled":"1","month":"09","intvolume":" 16","publication_identifier":{"issn":["1660-8933"]},"publication_status":"published","year":"2020","day":"10","publication":"Oberwolfach Reports","language":[{"iso":"eng"}],"page":"2541-2603","doi":"10.4171/owr/2019/41","issue":"3","volume":16,"date_published":"2020-09-10T00:00:00Z","date_created":"2024-03-04T11:46:12Z","_id":"15072","article_type":"original","type":"journal_article","status":"public","citation":{"ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” Oberwolfach Reports. European Mathematical Society, 2020. https://doi.org/10.4171/owr/2019/41.","ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” Oberwolfach Reports, vol. 16, no. 3. European Mathematical Society, pp. 2541–2603, 2020.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach Reports. 2020;16(3):2541-2603. doi:10.4171/owr/2019/41","apa":"Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2020). Many-body quantum systems. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/41","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41."},"date_updated":"2024-03-12T12:02:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Warzel, Simone","last_name":"Warzel","first_name":"Simone"}],"article_processing_charge":"No","title":"Many-body quantum systems","department":[{"_id":"RoSe"}]},{"oa":1,"publisher":"Springer","quality_controlled":"1","publication":"Communications in Mathematical Physics","day":"01","year":"2019","isi":1,"has_accepted_license":"1","date_created":"2018-12-11T11:44:31Z","doi":"10.1007/s00220-018-3239-0","date_published":"2019-06-01T00:00:00Z","page":"723-776","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 2019;368(2):723-776. doi:10.1007/s00220-018-3239-0","apa":"Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.","chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0."},"title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000467796800007"]},"publist_id":"7974","author":[{"last_name":"Deuchert","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"oa_version":"Published Version","abstract":[{"text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer.","lang":"eng"}],"intvolume":" 368","month":"06","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"5688","checksum":"c7e9880b43ac726712c1365e9f2f73a6","creator":"dernst","date_updated":"2020-07-14T12:48:07Z","file_size":893902,"date_created":"2018-12-17T10:34:06Z","file_name":"2018_CommunMathPhys_Deuchert.pdf"}],"publication_status":"published","ec_funded":1,"issue":"2","volume":368,"_id":"80","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","ddc":["530"],"date_updated":"2023-08-24T14:27:51Z","file_date_updated":"2020-07-14T12:48:07Z","department":[{"_id":"RoSe"}]},{"abstract":[{"text":"We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"10","intvolume":" 20","publication_identifier":{"issn":["1424-0637"],"eissn":["1424-0661"]},"publication_status":"published","file":[{"date_updated":"2020-07-14T12:47:40Z","file_size":681139,"creator":"dernst","date_created":"2019-08-12T12:05:58Z","file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"6801","checksum":"b6dbf0d837d809293d449adf77138904"}],"language":[{"iso":"eng"}],"issue":"10","volume":20,"ec_funded":1,"_id":"6788","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","date_updated":"2023-08-29T07:09:06Z","ddc":["510"],"file_date_updated":"2020-07-14T12:47:40Z","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","quality_controlled":"1","oa":1,"has_accepted_license":"1","isi":1,"year":"2019","day":"01","publication":"Annales Henri Poincare","page":"3471–3508","date_published":"2019-10-01T00:00:00Z","doi":"10.1007/s00023-019-00828-w","date_created":"2019-08-11T21:59:21Z","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"citation":{"chicago":"Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare. Springer Nature, 2019. https://doi.org/10.1007/s00023-019-00828-w.","ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508.","mla":"Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare, vol. 20, no. 10, Springer Nature, 2019, pp. 3471–3508, doi:10.1007/s00023-019-00828-w.","ama":"Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 2019;20(10):3471–3508. doi:10.1007/s00023-019-00828-w","apa":"Leopold, N. K., & Petrat, S. P. (2019). Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-019-00828-w","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","ieee":"N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” Annales Henri Poincare, vol. 20, no. 10. Springer Nature, pp. 3471–3508, 2019."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P"}],"external_id":{"isi":["000487036900008"],"arxiv":["1807.06781"]},"article_processing_charge":"Yes (via OA deal)","title":"Mean-field dynamics for the Nelson model with fermions"},{"scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1810.02209","open_access":"1"}],"month":"06","intvolume":" 2019","abstract":[{"lang":"eng","text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases."}],"oa_version":"Preprint","issue":"6","volume":2019,"ec_funded":1,"publication_identifier":{"eissn":["1742-5468"]},"publication_status":"published","language":[{"iso":"eng"}],"type":"journal_article","status":"public","_id":"6840","department":[{"_id":"RoSe"}],"date_updated":"2023-08-29T07:19:13Z","publisher":"IOP Publishing","quality_controlled":"1","oa":1,"doi":"10.1088/1742-5468/ab190d","date_published":"2019-06-13T00:00:00Z","date_created":"2019-09-01T22:00:59Z","isi":1,"year":"2019","day":"13","publication":"Journal of Statistical Mechanics: Theory and Experiment","project":[{"grant_number":"665385","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"063101","author":[{"last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof"},{"first_name":"Marek","last_name":"Napiórkowski","full_name":"Napiórkowski, Marek"}],"article_processing_charge":"No","external_id":{"arxiv":["1810.02209"],"isi":["000471650100001"]},"title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","citation":{"ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019;2019(6). doi:10.1088/1742-5468/ab190d","apa":"Mysliwy, K., & Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab190d","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019).","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6. IOP Publishing, 2019.","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:10.1088/1742-5468/ab190d.","ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing, 2019. https://doi.org/10.1088/1742-5468/ab190d."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"},{"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03599-x.","ista":"Jeblick M, Leopold NK, Pickl P. 2019. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 372(1), 1–69.","mla":"Jeblick, Maximilian, et al. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics, vol. 372, no. 1, Springer Nature, 2019, pp. 1–69, doi:10.1007/s00220-019-03599-x.","apa":"Jeblick, M., Leopold, N. K., & Pickl, P. (2019). Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03599-x","ama":"Jeblick M, Leopold NK, Pickl P. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 2019;372(1):1-69. doi:10.1007/s00220-019-03599-x","ieee":"M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent Gross–Pitaevskii equation in two dimensions,” Communications in Mathematical Physics, vol. 372, no. 1. Springer Nature, pp. 1–69, 2019.","short":"M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69."},"title":"Derivation of the time dependent Gross–Pitaevskii equation in two dimensions","author":[{"full_name":"Jeblick, Maximilian","last_name":"Jeblick","first_name":"Maximilian"},{"first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000495193700002"]},"acknowledgement":"OA fund by IST Austria","quality_controlled":"1","publisher":"Springer Nature","oa":1,"day":"08","publication":"Communications in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2019","doi":"10.1007/s00220-019-03599-x","date_published":"2019-11-08T00:00:00Z","date_created":"2019-11-25T08:08:02Z","page":"1-69","_id":"7100","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510"],"date_updated":"2023-09-06T10:47:43Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:49Z","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting froman interacting N-particle system of bosons. We consider the interaction potential to be given either by Wβ(x)=N−1+2βW(Nβx), for any β>0, or to be given by VN(x)=e2NV(eNx), for some spherical symmetric, nonnegative and compactly supported W,V∈L∞(R2,R). In both cases we prove the convergence of the reduced density corresponding to the exact time evolution to the projector onto the solution of the corresponding nonlinear Schrödinger equation in trace norm. For the latter potential VN we show that it is crucial to take the microscopic structure of the condensate into account in order to obtain the correct dynamics."}],"month":"11","intvolume":" 372","scopus_import":"1","file":[{"creator":"dernst","file_size":884469,"date_updated":"2020-07-14T12:47:49Z","file_name":"2019_CommMathPhys_Jeblick.pdf","date_created":"2019-11-25T08:11:11Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"7101","checksum":"cd283b475dd739e04655315abd46f528"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"publication_status":"published","issue":"1","volume":372,"ec_funded":1},{"department":[{"_id":"RoSe"}],"date_updated":"2023-09-06T15:24:31Z","status":"public","type":"journal_article","article_type":"original","_id":"7413","volume":222,"issue":"2","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1871-2509"],"issn":["0001-5962"]},"intvolume":" 222","month":"06","main_file_link":[{"url":"https://arxiv.org/abs/1801.01389","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions.","lang":"eng"}],"title":"Bogoliubov theory in the Gross–Pitaevskii limit","external_id":{"arxiv":["1801.01389"],"isi":["000495865300001"]},"article_processing_charge":"No","author":[{"first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","full_name":"Boccato, Chiara"},{"first_name":"Christian","last_name":"Brennecke","full_name":"Brennecke, Christian"},{"last_name":"Cenatiempo","full_name":"Cenatiempo, Serena","first_name":"Serena"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2019). Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. International Press of Boston. https://doi.org/10.4310/acta.2019.v222.n2.a1","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 2019;222(2):219-335. doi:10.4310/acta.2019.v222.n2.a1","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” Acta Mathematica, vol. 222, no. 2. International Press of Boston, pp. 219–335, 2019.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","mla":"Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica, vol. 222, no. 2, International Press of Boston, 2019, pp. 219–335, doi:10.4310/acta.2019.v222.n2.a1.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica. International Press of Boston, 2019. https://doi.org/10.4310/acta.2019.v222.n2.a1."},"date_created":"2020-01-30T09:30:41Z","date_published":"2019-06-07T00:00:00Z","doi":"10.4310/acta.2019.v222.n2.a1","page":"219-335","publication":"Acta Mathematica","day":"07","year":"2019","isi":1,"oa":1,"publisher":"International Press of Boston","quality_controlled":"1"},{"issue":"4","volume":20,"related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"ec_funded":1,"file":[{"file_id":"5894","checksum":"255e42f957a8e2b10aad2499c750a8d6","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2019-01-28T15:27:17Z","file_name":"2019_Annales_Moser.pdf","creator":"dernst","date_updated":"2020-07-14T12:47:12Z","file_size":859846}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["14240637"]},"publication_status":"published","month":"04","intvolume":" 20","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system."}],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:12Z","ddc":["530"],"date_updated":"2023-09-07T12:37:42Z","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"5856","doi":"10.1007/s00023-018-00757-0","date_published":"2019-04-01T00:00:00Z","date_created":"2019-01-20T22:59:17Z","page":"1325–1365","day":"01","publication":"Annales Henri Poincare","isi":1,"has_accepted_license":"1","year":"2019","publisher":"Springer","quality_controlled":"1","oa":1,"title":"Energy contribution of a point-interacting impurity in a Fermi gas","author":[{"last_name":"Moser","full_name":"Moser, Thomas","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"arxiv":["1807.00739"],"isi":["000462444300008"]},"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.","ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4. Springer, pp. 1325–1365, 2019.","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0","apa":"Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-00757-0"},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}]},{"type":"preprint","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"status":"public","_id":"7524","author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert"},{"first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"No","title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","department":[{"_id":"RoSe"}],"citation":{"chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d.","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372, .","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv.","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372. ArXiv.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372."},"date_updated":"2023-09-07T13:12:41Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":1,"publisher":"ArXiv","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1910.03372","open_access":"1"}],"month":"10","abstract":[{"text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$.","lang":"eng"}],"oa_version":"Preprint","page":"61","date_published":"2019-10-08T00:00:00Z","related_material":{"record":[{"id":"7790","status":"public","relation":"later_version"},{"id":"7514","status":"public","relation":"dissertation_contains"}]},"ec_funded":1,"date_created":"2020-02-26T08:46:40Z","publication_status":"draft","year":"2019","day":"08","publication":"arXiv:1910.03372","language":[{"iso":"eng"}]},{"oa_version":"Published Version","intvolume":" 60","month":"12","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"file_id":"7244","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2020-01-07T14:59:13Z","file_name":"2019_JournalMathPhysics_Jaksic.pdf","creator":"dernst","date_updated":"2020-07-14T12:47:54Z","file_size":1025015}],"publication_status":"published","publication_identifier":{"issn":["00222488"]},"volume":60,"issue":"12","_id":"7226","status":"public","type":"journal_article","article_type":"letter_note","ddc":["500"],"date_updated":"2024-02-28T13:01:45Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:54Z","oa":1,"publisher":"AIP Publishing","quality_controlled":"1","publication":"Journal of Mathematical Physics","day":"01","year":"2019","has_accepted_license":"1","isi":1,"date_created":"2020-01-05T23:00:46Z","doi":"10.1063/1.5138135","date_published":"2019-12-01T00:00:00Z","article_number":"123504","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.","ista":"Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504.","mla":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135.","ieee":"V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics, vol. 60, no. 12. AIP Publishing, 2019.","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).","apa":"Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.5138135","ama":"Jaksic V, Seiringer R. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 2019;60(12). doi:10.1063/1.5138135"},"title":"Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018","external_id":{"isi":["000505529800002"]},"article_processing_charge":"No","author":[{"first_name":"Vojkan","full_name":"Jaksic, Vojkan","last_name":"Jaksic"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}]},{"publisher":"American Physical Society","quality_controlled":"1","oa":1,"day":"25","publication":"Physical Review B","isi":1,"year":"2019","doi":"10.1103/physrevb.100.035127","date_published":"2019-07-25T00:00:00Z","date_created":"2019-11-13T08:41:48Z","article_number":"035127","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127.","ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.","mla":"Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:10.1103/physrevb.100.035127.","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3. American Physical Society, 2019.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).","ama":"Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 2019;100(3). doi:10.1103/physrevb.100.035127","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.100.035127"},"title":"Floating Wigner crystal with no boundary charge fluctuations","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"No","external_id":{"arxiv":["1905.09138"],"isi":["000477888200001"]},"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We modify the \"floating crystal\" trial state for the classical homogeneous electron gas (also known as jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The argument is to melt a thin layer of the crystal close to the boundary and consequently replace it by an incompressible fluid. With the aid of this trial state we show that three different definitions of the ground-state energy of jellium coincide. In the first point of view the electrons are placed in a neutralizing uniform background. In the second definition there is no background but the electrons are submitted to the constraint that their density is constant, as is appropriate in density functional theory. Finally, in the third system each electron interacts with a periodic image of itself; that is, periodic boundary conditions are imposed on the interaction potential."}],"month":"07","intvolume":" 100","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1905.09138"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"publication_status":"published","issue":"3","volume":100,"ec_funded":1,"_id":"7015","status":"public","type":"journal_article","article_type":"original","date_updated":"2024-02-28T13:13:23Z","department":[{"_id":"RoSe"}]},{"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"citation":{"chicago":"Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. https://doi.org/10.1007/978-3-030-01602-9_9.","ista":"Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems vol. 270, 185–214.","mla":"Leopold, Nikolai K., and Peter Pickl. Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields. Vol. 270, Springer, 2018, pp. 185–214, doi:10.1007/978-3-030-01602-9_9.","ieee":"N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.","apa":"Leopold, N. K., & Pickl, P. (2018). Mean-field limits of particles in interaction with quantised radiation fields (Vol. 270, pp. 185–214). Presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany: Springer. https://doi.org/10.1007/978-3-030-01602-9_9","ama":"Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised radiation fields. In: Vol 270. Springer; 2018:185-214. doi:10.1007/978-3-030-01602-9_9"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1806.10843"]},"author":[{"last_name":"Leopold","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"}],"publist_id":"8045","title":"Mean-field limits of particles in interaction with quantised radiation fields","oa":1,"publisher":"Springer","quality_controlled":"1","year":"2018","day":"27","page":"185 - 214","date_created":"2018-12-11T11:44:08Z","date_published":"2018-10-27T00:00:00Z","doi":"10.1007/978-3-030-01602-9_9","_id":"11","conference":{"start_date":"2017-03-30","end_date":"2017-04-01","location":"Munich, Germany","name":"MaLiQS: Macroscopic Limits of Quantum Systems"},"type":"conference","status":"public","date_updated":"2021-01-12T06:48:16Z","department":[{"_id":"RoSe"}],"abstract":[{"text":"We report on a novel strategy to derive mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. The technique combines the method of counting and the coherent state approach to study the growth of the correlations among the particles and in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon system of equations from the Nelson model with ultraviolet cutoff and possibly massless scalar field. In particular, we prove the convergence of the reduced density matrices (of the nonrelativistic particles and the field bosons) associated with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon equations in trace norm. Furthermore, we derive explicit bounds on the rate of convergence of the one-particle reduced density matrix of the nonrelativistic particles in Sobolev norm.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/1806.10843","open_access":"1"}],"scopus_import":1,"intvolume":" 270","month":"10","publication_status":"published","language":[{"iso":"eng"}],"ec_funded":1,"volume":270},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics, vol. 360, no. 1, Springer, 2018, pp. 347–403, doi:10.1007/s00220-017-3064-x.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” Communications in Mathematical Physics, vol. 360, no. 1. Springer, pp. 347–403, 2018.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-3064-x","ama":"Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 2018;360(1):347-403. doi:10.1007/s00220-017-3064-x","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s00220-017-3064-x.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403."},"title":"The Bogoliubov free energy functional II: The dilute Limit","external_id":{"arxiv":["1511.05953"]},"publist_id":"7260","author":[{"first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"},{"last_name":"Reuvers","full_name":"Reuvers, Robin","first_name":"Robin"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"publication":"Communications in Mathematical Physics","day":"01","year":"2018","date_created":"2018-12-11T11:47:09Z","date_published":"2018-05-01T00:00:00Z","doi":"10.1007/s00220-017-3064-x","page":"347-403","oa":1,"quality_controlled":"1","publisher":"Springer","date_updated":"2021-01-12T08:02:35Z","department":[{"_id":"RoSe"}],"_id":"554","status":"public","type":"journal_article","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["00103616"]},"issue":"1","volume":360,"oa_version":"Submitted Version","abstract":[{"text":"We analyse the canonical Bogoliubov free energy functional in three dimensions at low temperatures in the dilute limit. We prove existence of a first-order phase transition and, in the limit (Formula presented.), we determine the critical temperature to be (Formula presented.) to leading order. Here, (Formula presented.) is the critical temperature of the free Bose gas, ρ is the density of the gas and a is the scattering length of the pair-interaction potential V. We also prove asymptotic expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula in the limit (Formula presented.).","lang":"eng"}],"intvolume":" 360","month":"05","main_file_link":[{"url":"https://arxiv.org/abs/1511.05953","open_access":"1"}],"scopus_import":1},{"year":"2018","isi":1,"publication":"EPL","day":"01","date_created":"2018-12-11T11:46:15Z","date_published":"2018-01-01T00:00:00Z","doi":"10.1209/0295-5075/121/10007","acknowledgement":"We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).","oa":1,"quality_controlled":"1","publisher":"IOP Publishing Ltd.","citation":{"mla":"Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no. 1, 10007, IOP Publishing Ltd., 2018, doi:10.1209/0295-5075/121/10007.","ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1). doi:10.1209/0295-5075/121/10007","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/121/10007","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL, vol. 121, no. 1. IOP Publishing Ltd., 2018.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL. IOP Publishing Ltd., 2018. https://doi.org/10.1209/0295-5075/121/10007.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","external_id":{"isi":["000460003000003"],"arxiv":["1706.01822"]},"author":[{"first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"},{"full_name":"Reuvers, Robin","last_name":"Reuvers","first_name":"Robin"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan"}],"publist_id":"7432","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","article_number":"10007","project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"publication_status":"published","language":[{"iso":"eng"}],"issue":"1","volume":121,"abstract":[{"text":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1706.01822"}],"scopus_import":"1","intvolume":" 121","month":"01","date_updated":"2023-09-08T13:30:51Z","department":[{"_id":"RoSe"}],"_id":"399","type":"journal_article","article_type":"original","status":"public"},{"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.","ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y","apa":"Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y","short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y."},"title":"Fermionic behavior of ideal anyons","external_id":{"arxiv":["1712.06218"],"isi":["000446491500008"]},"article_processing_charge":"No","publist_id":"7586","author":[{"first_name":"Douglas","last_name":"Lundholm","full_name":"Lundholm, Douglas"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.","oa":1,"publisher":"Springer","quality_controlled":"1","publication":"Letters in Mathematical Physics","day":"11","year":"2018","isi":1,"has_accepted_license":"1","date_created":"2018-12-11T11:45:40Z","doi":"10.1007/s11005-018-1091-y","date_published":"2018-05-11T00:00:00Z","page":"2523-2541","_id":"295","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","ddc":["510"],"date_updated":"2023-09-11T14:01:57Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:55Z","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons."}],"intvolume":" 108","month":"05","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"date_created":"2018-12-17T12:14:17Z","file_name":"2018_LettMathPhys_Lundholm.pdf","date_updated":"2020-07-14T12:45:55Z","file_size":551996,"creator":"dernst","checksum":"8beb9632fa41bbd19452f55f31286a31","file_id":"5698","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"publication_status":"published","ec_funded":1,"issue":"11","volume":108},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., & Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-0665-7","ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 2018;19(5):1507-1527. doi:10.1007/s00023-018-0665-7","mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.","ista":"Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 19(5), 1507–1527.","chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare. Springer, 2018. https://doi.org/10.1007/s00023-018-0665-7."},"title":"Persistence of translational symmetry in the BCS model with radial pair interaction","publist_id":"7429","author":[{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Geisinge, Alissa","last_name":"Geisinge","first_name":"Alissa"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"first_name":"Michael","full_name":"Loss, Michael","last_name":"Loss"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000429799900008"]},"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"day":"01","publication":"Annales Henri Poincare","isi":1,"has_accepted_license":"1","year":"2018","date_published":"2018-05-01T00:00:00Z","doi":"10.1007/s00023-018-0665-7","date_created":"2018-12-11T11:46:15Z","page":"1507 - 1527","publisher":"Springer","quality_controlled":"1","oa":1,"ddc":["510"],"date_updated":"2023-09-15T12:04:15Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:22Z","_id":"400","status":"public","pubrep_id":"1011","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"date_updated":"2020-07-14T12:46:22Z","file_size":582680,"creator":"system","date_created":"2018-12-12T10:12:47Z","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","file_id":"4966"}],"language":[{"iso":"eng"}],"publication_status":"published","issue":"5","volume":19,"ec_funded":1,"oa_version":"Published Version","abstract":[{"text":"We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum, our results carry over to the three-dimensional case.","lang":"eng"}],"month":"05","intvolume":" 19","scopus_import":"1"},{"date_created":"2018-12-11T11:44:55Z","date_published":"2018-09-01T00:00:00Z","doi":"10.1007/s11040-018-9275-3","year":"2018","has_accepted_license":"1","isi":1,"publication":"Mathematical Physics Analysis and Geometry","day":"01","oa":1,"quality_controlled":"1","publisher":"Springer","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","article_processing_charge":"No","external_id":{"isi":["000439639700001"]},"author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"publist_id":"7767","title":"Stability of the 2+2 fermionic system with point interactions","citation":{"ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3","apa":"Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-018-9275-3","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 3. Springer, 2018.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund"}],"article_number":"19","ec_funded":1,"related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"volume":21,"issue":"3","publication_status":"published","publication_identifier":{"eissn":["15729656"],"issn":["13850172"]},"language":[{"iso":"eng"}],"file":[{"file_name":"2018_MathPhysics_Moser.pdf","date_created":"2018-12-17T16:49:02Z","file_size":496973,"date_updated":"2020-07-14T12:45:01Z","creator":"dernst","file_id":"5729","checksum":"411c4db5700d7297c9cd8ebc5dd29091","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"scopus_import":"1","intvolume":" 21","month":"09","abstract":[{"text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.","lang":"eng"}],"oa_version":"Published Version","file_date_updated":"2020-07-14T12:45:01Z","department":[{"_id":"RoSe"}],"date_updated":"2023-09-19T09:31:15Z","ddc":["530"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","_id":"154"},{"oa_version":"Published Version","abstract":[{"text":"The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities","lang":"eng"}],"month":"04","intvolume":" 19","scopus_import":"1","alternative_title":["Annales Henri Poincare"],"file":[{"checksum":"883eeccba8384ad7fcaa28761d99a0fa","file_id":"4914","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","date_created":"2018-12-12T10:11:57Z","file_size":923252,"date_updated":"2020-07-14T12:46:31Z","creator":"system"}],"language":[{"iso":"eng"}],"publication_status":"published","volume":19,"issue":"4","_id":"455","status":"public","pubrep_id":"993","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510","539"],"date_updated":"2023-09-19T10:07:41Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:31Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The authors acknowledge support by ERC Advanced Grant 321029 and by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes equations.","publisher":"Birkhäuser","quality_controlled":"1","oa":1,"day":"01","publication":"Annales Henri Poincare","has_accepted_license":"1","isi":1,"year":"2018","date_published":"2018-04-01T00:00:00Z","doi":"10.1007/s00023-018-0644-z","date_created":"2018-12-11T11:46:34Z","page":"1167 - 1214","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"apa":"Benedikter, N. P., Sok, J., & Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-018-0644-z","ama":"Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 2018;19(4):1167-1214. doi:10.1007/s00023-018-0644-z","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri Poincare, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.","mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z.","ista":"Benedikter NP, Sok J, Solovej J. 2018. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 19(4), 1167–1214.","chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare. Birkhäuser, 2018. https://doi.org/10.1007/s00023-018-0644-z."},"title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations","author":[{"last_name":"Benedikter","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P"},{"first_name":"Jérémy","full_name":"Sok, Jérémy","last_name":"Sok"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"publist_id":"7367","external_id":{"isi":["000427578900006"]},"article_processing_charge":"No"},{"language":[{"iso":"eng"}],"publication_status":"published","issue":"3","volume":71,"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential."}],"intvolume":" 71","month":"03","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1606.07355"}],"date_updated":"2023-09-19T10:09:40Z","department":[{"_id":"RoSe"}],"_id":"446","status":"public","type":"journal_article","article_type":"original","publication":"Communications on Pure and Applied Mathematics","day":"01","year":"2018","isi":1,"date_created":"2018-12-11T11:46:31Z","doi":"10.1002/cpa.21717","date_published":"2018-03-01T00:00:00Z","page":"577 - 614","acknowledgement":"We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).\r\n","oa":1,"publisher":"Wiley-Blackwell","quality_controlled":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717.","ista":"Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614.","mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717.","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","apa":"Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614. doi:10.1002/cpa.21717"},"title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","article_processing_charge":"No","external_id":{"isi":["000422675800004"],"arxiv":["1606.07355"]},"author":[{"full_name":"Frank, Rupert","last_name":"Frank","first_name":"Rupert"},{"first_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Phan Thanh, Nam","last_name":"Phan Thanh"},{"first_name":"Hanne","full_name":"Van Den Bosch, Hanne","last_name":"Van Den Bosch"}],"publist_id":"7377"},{"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-19T14:29:03Z","type":"journal_article","status":"public","_id":"5983","issue":"22","volume":98,"ec_funded":1,"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"publication_status":"published","language":[{"iso":"eng"}],"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01204"}],"month":"12","intvolume":" 98","abstract":[{"lang":"eng","text":"We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a “rotating polaron,” which can be used to model, e.g., a rotating molecule immersed in an ultracold Bose gas or superfluid helium. We derive the Hamiltonian of the rotating polaron and study its spectrum in the weak- and strong-coupling regimes using a combination of variational, diagrammatic, and mean-field approaches. We reveal how the coupling between linear and angular momenta affects stable quasiparticle states, and demonstrate that internal rotation leads to an enhanced self-localization in the translational degrees of freedom."}],"oa_version":"Preprint","author":[{"full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp"},{"full_name":"Midya, Bikashkali","last_name":"Midya","id":"456187FC-F248-11E8-B48F-1D18A9856A87","first_name":"Bikashkali"},{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas"},{"last_name":"Leopold","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko"}],"article_processing_charge":"No","external_id":{"arxiv":["1809.01204"],"isi":["000452992700008"]},"title":"Theory of the rotating polaron: Spectrum and self-localization","citation":{"ista":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22), 224506.","chicago":"Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/physrevb.98.224506.","apa":"Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., & Lemeshko, M. (2018). Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.98.224506","ama":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 2018;98(22). doi:10.1103/physrevb.98.224506","ieee":"E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” Physical Review B, vol. 98, no. 22. American Physical Society, 2018.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:10.1103/physrevb.98.224506."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_number":"224506","date_published":"2018-12-12T00:00:00Z","doi":"10.1103/physrevb.98.224506","date_created":"2019-02-14T10:37:09Z","isi":1,"year":"2018","day":"12","publication":"Physical Review B","quality_controlled":"1","publisher":"American Physical Society","oa":1},{"volume":229,"issue":"3","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"intvolume":" 229","month":"09","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05935"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"lang":"eng","text":"The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove the existence of a phase transition in this model and provide its phase diagram."}],"department":[{"_id":"RoSe"}],"date_updated":"2023-09-19T14:33:12Z","status":"public","type":"journal_article","_id":"6002","date_created":"2019-02-14T13:40:53Z","date_published":"2018-09-01T00:00:00Z","doi":"10.1007/s00205-018-1232-6","page":"1037-1090","publication":"Archive for Rational Mechanics and Analysis","day":"01","year":"2018","isi":1,"oa":1,"publisher":"Springer Nature","quality_controlled":"1","title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","article_processing_charge":"No","external_id":{"arxiv":["1511.05935"],"isi":["000435367300003"]},"author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"},{"first_name":"Robin","full_name":"Reuvers, Robin","last_name":"Reuvers"},{"first_name":"Jan Philip","last_name":"Solovej","full_name":"Solovej, Jan Philip"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis. 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Point Interactions in Systems of Fermions. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043.","short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018.","apa":"Moser, T. (2018). Point interactions in systems of fermions. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_1043","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043","chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria."},"month":"09","alternative_title":["ISTA Thesis"],"oa_version":"Published Version","abstract":[{"lang":"eng","text":"In this thesis we will discuss systems of point interacting fermions, their stability and other spectral properties. Whereas for bosons a point interacting system is always unstable this ques- tion is more subtle for a gas of two species of fermions. In particular the answer depends on the mass ratio between these two species. Most of this work will be focused on the N + M model which consists of two species of fermions with N, M particles respectively which interact via point interactions. We will introduce this model using a formal limit and discuss the N + 1 system in more detail. In particular, we will show that for mass ratios above a critical one, which does not depend on the particle number, the N + 1 system is stable. In the context of this model we will prove rigorous versions of Tan relations which relate various quantities of the point-interacting model. By restricting the N + 1 system to a box we define a finite density model with point in- teractions. In the context of this system we will discuss the energy change when introducing a point-interacting impurity into a system of non-interacting fermions. We will see that this change in energy is bounded independently of the particle number and in particular the bound only depends on the density and the scattering length. As another special case of the N + M model we will show stability of the 2 + 2 model for mass ratios in an interval around one. Further we will investigate a different model of point interactions which was discussed before in the literature and which is, contrary to the N + M model, not given by a limiting procedure but is based on a Dirichlet form. We will show that this system behaves trivially in the thermodynamic limit, i.e. the free energy per particle is the same as the one of the non-interacting system."}],"related_material":{"record":[{"status":"public","id":"5856","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"154"},{"id":"1198","status":"public","relation":"part_of_dissertation"},{"status":"public","id":"741","relation":"part_of_dissertation"}]},"language":[{"iso":"eng"}],"file":[{"file_id":"6256","checksum":"fbd8c747d148b468a21213b7cf175225","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2019-04-09T07:45:38Z","file_name":"2018_Thesis_Moser.pdf","creator":"dernst","date_updated":"2020-07-14T12:46:37Z","file_size":851164},{"relation":"source_file","access_level":"closed","content_type":"application/zip","checksum":"c28e16ecfc1126d3ce324ec96493c01e","file_id":"6257","creator":"dernst","file_size":1531516,"date_updated":"2020-07-14T12:46:37Z","file_name":"2018_Thesis_Moser_Source.zip","date_created":"2019-04-09T07:45:38Z"}],"publication_status":"published","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"pubrep_id":"1043","status":"public","type":"dissertation","_id":"52","file_date_updated":"2020-07-14T12:46:37Z","department":[{"_id":"RoSe"}],"ddc":["515","530","519"],"date_updated":"2023-09-27T12:34:14Z","supervisor":[{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}]},{"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"author":[{"first_name":"Mathieu","full_name":"Lewi, Mathieu","last_name":"Lewi"},{"last_name":"Lieb","full_name":"Lieb, Élliott","first_name":"Élliott"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"publist_id":"7741","external_id":{"arxiv":["1705.10676"]},"article_processing_charge":"No","title":"Statistical mechanics of the uniform electron gas","citation":{"ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64","apa":"Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.64","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5. Ecole Polytechnique, pp. 79–116, 2018.","short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Ecole Polytechnique","quality_controlled":"1","oa":1,"acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged.","page":"79 - 116","doi":"10.5802/jep.64","date_published":"2018-07-01T00:00:00Z","date_created":"2018-12-11T11:45:03Z","has_accepted_license":"1","year":"2018","day":"01","publication":"Journal de l'Ecole Polytechnique - Mathematiques","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"status":"public","_id":"180","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:16Z","date_updated":"2023-10-17T08:05:28Z","ddc":["510"],"scopus_import":"1","month":"07","intvolume":" 5","abstract":[{"lang":"eng","text":"In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density."}],"oa_version":"Published Version","volume":5,"ec_funded":1,"publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"publication_status":"published","file":[{"file_name":"2018_JournaldeLecoleMath_Lewi.pdf","date_created":"2018-12-17T16:38:18Z","file_size":843938,"date_updated":"2020-07-14T12:45:16Z","creator":"dernst","checksum":"1ba7cccdf3900f42c4f715ae75d6813c","file_id":"5726","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"language":[{"iso":"eng"}]},{"intvolume":" 21","month":"01","main_file_link":[{"url":"https://arxiv.org/abs/1509.04631","open_access":"1"}],"scopus_import":1,"oa_version":"Submitted Version","abstract":[{"text":"We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory.","lang":"eng"}],"ec_funded":1,"volume":21,"issue":"3","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["10950761"]},"status":"public","type":"journal_article","_id":"484","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T08:00:58Z","oa":1,"quality_controlled":"1","publisher":"International Press","date_created":"2018-12-11T11:46:43Z","date_published":"2017-01-01T00:00:00Z","doi":"10.4310/ATMP.2017.v21.n3.a4","page":"683 - 738","publication":"Advances in Theoretical and Mathematical Physics","day":"01","year":"2017","project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","author":[{"first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan","last_name":"Nam"},{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"}],"publist_id":"7336","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.2017.v21.n3.a4","ama":"Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 2017;21(3):683-738. doi:10.4310/ATMP.2017.v21.n3.a4","ieee":"P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3. International Press, pp. 683–738, 2017.","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738.","mla":"Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.","ista":"Nam P, Napiórkowski MM. 2017. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 21(3), 683–738.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4."}},{"department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T08:07:03Z","type":"journal_article","status":"public","_id":"632","ec_funded":1,"issue":"6","volume":145,"publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.09045"}],"scopus_import":1,"intvolume":" 145","month":"01","abstract":[{"lang":"eng","text":"We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 < β < (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w < 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 < β < 3/4. "}],"oa_version":"Submitted Version","publist_id":"7160","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam","full_name":"Nam, Phan"},{"full_name":"Rougerie, Nicolas","last_name":"Rougerie","first_name":"Nicolas"}],"title":"A note on 2D focusing many boson systems","citation":{"mla":"Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:10.1090/proc/13468.","apa":"Lewin, M., Nam, P., & Rougerie, N. (2017). A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/13468","ama":"Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 2017;145(6):2441-2454. doi:10.1090/proc/13468","short":"M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454.","ieee":"M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” Proceedings of the American Mathematical Society, vol. 145, no. 6. American Mathematical Society, pp. 2441–2454, 2017.","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society. American Mathematical Society, 2017. https://doi.org/10.1090/proc/13468.","ista":"Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 145(6), 2441–2454."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","project":[{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"page":"2441 - 2454","date_created":"2018-12-11T11:47:36Z","doi":"10.1090/proc/13468","date_published":"2017-01-01T00:00:00Z","year":"2017","publication":"Proceedings of the American Mathematical Society","day":"01","oa":1,"publisher":"American Mathematical Society","quality_controlled":"1"},{"_id":"1198","status":"public","pubrep_id":"723","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510","539"],"date_updated":"2023-09-20T11:18:13Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:38Z","oa_version":"Published Version","abstract":[{"text":"We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles.","lang":"eng"}],"month":"03","intvolume":" 107","scopus_import":"1","file":[{"file_id":"5296","checksum":"c0c835def162c1bc52f978fad26e3c2f","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","date_created":"2018-12-12T10:17:40Z","creator":"system","file_size":587207,"date_updated":"2020-07-14T12:44:38Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["03779017"]},"publication_status":"published","volume":107,"issue":"3","related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]},"project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.","apa":"Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0915-x","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552. doi:10.1007/s11005-016-0915-x","ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3. Springer, pp. 533–552, 2017.","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.","ista":"Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552."},"title":"Triviality of a model of particles with point interactions in the thermodynamic limit","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"publist_id":"6152","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000394280200007"]},"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","publisher":"Springer","quality_controlled":"1","oa":1,"day":"01","publication":"Letters in Mathematical Physics","isi":1,"has_accepted_license":"1","year":"2017","doi":"10.1007/s11005-016-0915-x","date_published":"2017-03-01T00:00:00Z","date_created":"2018-12-11T11:50:40Z","page":" 533 - 552"},{"language":[{"iso":"eng"}],"publication_identifier":{"issn":["24699926"]},"publication_status":"published","related_material":{"record":[{"status":"public","id":"8958","relation":"dissertation_contains"}]},"volume":95,"issue":"3","ec_funded":1,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"The existence of a self-localization transition in the polaron problem has been under an active debate ever since Landau suggested it 83 years ago. Here we reveal the self-localization transition for the rotational analogue of the polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of the symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. The predicted effects can potentially be addressed in experiments on cold molecules trapped in superfluid helium droplets and ultracold quantum gases, as well as on electronic excitations in solids and Bose-Einstein condensates. "}],"month":"03","intvolume":" 95","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1610.04908","open_access":"1"}],"date_updated":"2023-09-20T11:30:58Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"_id":"1120","status":"public","type":"journal_article","day":"06","publication":"Physical Review A","isi":1,"year":"2017","doi":"10.1103/PhysRevA.95.033608","date_published":"2017-03-06T00:00:00Z","date_created":"2018-12-11T11:50:15Z","quality_controlled":"1","publisher":"American Physical Society","oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.","mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.","ieee":"X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American Physical Society, 2017.","short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).","ama":"Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608","apa":"Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. American Physical Society. https://doi.org/10.1103/PhysRevA.95.033608"},"title":"Angular self-localization of impurities rotating in a bosonic bath","publist_id":"6242","author":[{"last_name":"Li","full_name":"Li, Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail"}],"external_id":{"isi":["000395981900009"]},"article_processing_charge":"No","article_number":"033608","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment"}]},{"article_processing_charge":"No","external_id":{"isi":["000401270000004"]},"author":[{"full_name":"Nam, Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan"},{"last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne","first_name":"Hanne"}],"publist_id":"6300","title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","citation":{"ista":"Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 20(2), 6.","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry. Springer, 2017. https://doi.org/10.1007/s11040-017-9238-0.","apa":"Nam, P., & Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-017-9238-0","ama":"Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 2017;20(2). doi:10.1007/s11040-017-9238-0","ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2. Springer, 2017.","short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017).","mla":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2, 6, Springer, 2017, doi:10.1007/s11040-017-9238-0."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"article_number":"6","date_created":"2018-12-11T11:50:02Z","doi":"10.1007/s11040-017-9238-0","date_published":"2017-06-01T00:00:00Z","year":"2017","isi":1,"publication":"Mathematical Physics, Analysis and Geometry","day":"01","oa":1,"publisher":"Springer","quality_controlled":"1","department":[{"_id":"RoSe"}],"date_updated":"2023-09-20T11:53:35Z","type":"journal_article","status":"public","_id":"1079","issue":"2","volume":20,"publication_status":"published","publication_identifier":{"issn":["13850172"]},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1603.07368"}],"scopus_import":"1","intvolume":" 20","month":"06","abstract":[{"text":"We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers.","lang":"eng"}],"oa_version":"Submitted Version"},{"file":[{"date_created":"2018-12-12T10:10:50Z","file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf","date_updated":"2020-07-14T12:47:57Z","file_size":952639,"creator":"system","file_id":"4841","checksum":"0fd9435400f91e9b3c5346319a2d24e3","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["00103616"]},"publication_status":"published","issue":"1","volume":356,"related_material":{"record":[{"id":"52","status":"public","relation":"dissertation_contains"}]},"ec_funded":1,"oa_version":"Published Version","abstract":[{"text":"We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.","lang":"eng"}],"month":"11","intvolume":" 356","scopus_import":"1","ddc":["539"],"date_updated":"2023-09-27T12:34:15Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:57Z","_id":"741","status":"public","pubrep_id":"880","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"01","publication":"Communications in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2017","date_published":"2017-11-01T00:00:00Z","doi":"10.1007/s00220-017-2980-0","date_created":"2018-12-11T11:48:15Z","page":"329 - 355","publisher":"Springer","quality_controlled":"1","oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.","ama":"Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 2017;356(1):329-355. doi:10.1007/s00220-017-2980-0","apa":"Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-2980-0","ieee":"T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1. Springer, pp. 329–355, 2017.","short":"T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0."},"title":"Stability of a fermionic N+1 particle system with point interactions","publist_id":"6926","author":[{"last_name":"Moser","full_name":"Moser, Thomas","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"isi":["000409821300010"]},"article_processing_charge":"No","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}]},{"abstract":[{"text":"We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states.","lang":"eng"}],"oa_version":"Submitted Version","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1604.05240"}],"scopus_import":"1","intvolume":" 108","month":"11","publication_status":"published","publication_identifier":{"issn":["00217824"]},"language":[{"iso":"eng"}],"volume":108,"issue":"5","_id":"739","type":"journal_article","status":"public","date_updated":"2023-09-27T12:52:07Z","department":[{"_id":"RoSe"}],"oa":1,"quality_controlled":"1","publisher":"Elsevier","year":"2017","isi":1,"publication":"Journal de Mathématiques Pures et Appliquées","day":"01","page":"662 - 688","date_created":"2018-12-11T11:48:15Z","doi":"10.1016/j.matpur.2017.05.013","date_published":"2017-11-01T00:00:00Z","project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"citation":{"ista":"Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5), 662–688.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013.","short":"P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688.","ieee":"P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5. Elsevier, pp. 662–688, 2017.","ama":"Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688. doi:10.1016/j.matpur.2017.05.013","apa":"Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013","mla":"Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","external_id":{"isi":["000414113600003"]},"author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam","full_name":"Nam, Phan"},{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M"}],"publist_id":"6928","title":"A note on the validity of Bogoliubov correction to mean field dynamics"},{"oa":1,"quality_controlled":"1","publisher":"American Physical Society","date_created":"2018-12-11T11:49:36Z","doi":"10.1103/PhysRevLett.119.235301","date_published":"2017-12-06T00:00:00Z","year":"2017","isi":1,"publication":"Physical Review Letters","day":"06","project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425"}],"article_number":"235301","external_id":{"isi":["000417132100007"],"arxiv":["1705.05162"]},"article_processing_charge":"No","publist_id":"6401","author":[{"full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp"},{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"},{"first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko"}],"title":"Emergence of non-abelian magnetic monopoles in a quantum impurity problem","citation":{"ista":"Yakaboylu E, Deuchert A, Lemeshko M. 2017. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 119(23), 235301.","chicago":"Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.235301.","short":"E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017).","ieee":"E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” Physical Review Letters, vol. 119, no. 23. American Physical Society, 2017.","apa":"Yakaboylu, E., Deuchert, A., & Lemeshko, M. (2017). Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.119.235301","ama":"Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 2017;119(23). doi:10.1103/PhysRevLett.119.235301","mla":"Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters, vol. 119, no. 23, 235301, American Physical Society, 2017, doi:10.1103/PhysRevLett.119.235301."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05162"}],"scopus_import":"1","intvolume":" 119","month":"12","abstract":[{"text":"Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrate that in the experimentally realized regime the angulon can be seen as a point charge on a 2-sphere interacting with a gauge field of a non-abelian magnetic monopole. Unlike in several other settings, the gauge fields of the angulon problem emerge in the real coordinate space, as opposed to the momentum space or some effective parameter space. Furthermore, we find a topological transition associated with making the monopole abelian, which takes place in the vicinity of the previously reported angulon instabilities. These results pave the way for studying topological phenomena in experiments on molecules trapped in superfluid helium nanodroplets, as well as on other realizations of orbital impurity problems.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"volume":119,"issue":"23","publication_status":"published","publication_identifier":{"issn":["0031-9007"]},"language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","status":"public","_id":"997","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-10-10T13:31:54Z"},{"citation":{"mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:10.1063/1.4996580.","apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580","ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580","short":"A. Deuchert, Journal of Mathematical Physics 58 (2017).","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing, 2017.","chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing, 2017. https://doi.org/10.1063/1.4996580.","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","external_id":{"isi":["000409197200015"]},"publist_id":"6531","author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"}],"title":"A lower bound for the BCS functional with boundary conditions at infinity","article_number":"081901","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"year":"2017","isi":1,"publication":" Journal of Mathematical Physics","day":"01","date_created":"2018-12-11T11:49:10Z","doi":"10.1063/1.4996580","date_published":"2017-08-01T00:00:00Z","oa":1,"quality_controlled":"1","publisher":"AIP Publishing","date_updated":"2024-02-28T13:07:56Z","department":[{"_id":"RoSe"}],"_id":"912","type":"journal_article","status":"public","publication_status":"published","publication_identifier":{"issn":["00222488"]},"language":[{"iso":"eng"}],"ec_funded":1,"volume":58,"issue":"8","abstract":[{"text":"We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n","lang":"eng"}],"oa_version":"Submitted Version","main_file_link":[{"url":"https://arxiv.org/abs/1703.04616","open_access":"1"}],"scopus_import":"1","intvolume":" 58","month":"08"},{"day":"24","publication":"Analysis and PDE","year":"2016","doi":"10.2140/apde.2016.9.459","date_published":"2016-03-24T00:00:00Z","date_created":"2018-12-11T11:50:23Z","page":"459 - 485","quality_controlled":"1","publisher":"Mathematical Sciences Publishers","oa":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.","short":"P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.","ieee":"P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016.","ama":"Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485. doi:10.2140/apde.2016.9.459","apa":"Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2016.9.459","chicago":"Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE. Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.","ista":"Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485."},"title":"Ground states of large bosonic systems: The gross Pitaevskii limit revisited","author":[{"full_name":"Nam, Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan"},{"last_name":"Rougerie","full_name":"Rougerie, Nicolas","first_name":"Nicolas"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"6215","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"language":[{"iso":"eng"}],"publication_status":"published","volume":9,"issue":"2","ec_funded":1,"oa_version":"Preprint","abstract":[{"text":"We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger functional whose quartic term is proportional to the scattering length of the interparticle interaction potential. We propose a new derivation of this limit problem, with a method that bypasses some of the technical difficulties that previous derivations had to face. The new method is based on a combination of Dyson\\'s lemma, the quantum de Finetti theorem and a second moment estimate for ground states of the effective Dyson Hamiltonian. It applies equally well to the case where magnetic fields or rotation are present.","lang":"eng"}],"month":"03","intvolume":" 9","scopus_import":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1503.07061"}],"date_updated":"2021-01-12T06:48:36Z","department":[{"_id":"RoSe"}],"_id":"1143","status":"public","type":"journal_article"},{"citation":{"chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.","ista":"Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 19(2), 13.","mla":"Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.","apa":"Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9209-x","ama":"Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2. Springer, 2016."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Bräunlich, Gerhard","last_name":"Bräunlich","first_name":"Gerhard"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"publist_id":"6066","title":"Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit","article_number":"13","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"year":"2016","has_accepted_license":"1","publication":"Mathematical Physics, Analysis and Geometry","day":"01","date_created":"2018-12-11T11:50:59Z","date_published":"2016-06-01T00:00:00Z","doi":"10.1007/s11040-016-9209-x","acknowledgement":"Partial financial support from the DFG grant GRK 1838, as well as the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged.","oa":1,"quality_controlled":"1","publisher":"Springer","date_updated":"2021-01-12T06:49:27Z","ddc":["510","539"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:42Z","_id":"1259","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","pubrep_id":"702","status":"public","publication_status":"published","language":[{"iso":"eng"}],"file":[{"file_id":"4736","checksum":"9954f685cc25c58d7f1712c67b47ad8d","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"IST-2016-702-v1+1_s11040-016-9209-x.pdf","date_created":"2018-12-12T10:09:13Z","file_size":506242,"date_updated":"2020-07-14T12:44:42Z","creator":"system"}],"volume":19,"issue":"2","abstract":[{"text":"We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose–Einstein condensate of fermion pairs. The latter can be described by means of the Gross–Pitaevskii energy functional.","lang":"eng"}],"oa_version":"Published Version","scopus_import":1,"intvolume":" 19","month":"06"},{"volume":106,"issue":"8","publication_status":"published","language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"d740a6a226e0f5f864f40e3e269d3cc0","file_id":"4863","date_updated":"2020-07-14T12:44:42Z","file_size":349464,"creator":"system","date_created":"2018-12-12T10:11:09Z","file_name":"IST-2016-698-v1+1_s11005-016-0860-8.pdf"}],"scopus_import":1,"intvolume":" 106","month":"08","abstract":[{"text":"We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.","lang":"eng"}],"oa_version":"Published Version","file_date_updated":"2020-07-14T12:44:42Z","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:49:30Z","ddc":["510","539"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","pubrep_id":"698","status":"public","_id":"1267","page":"1033 - 1036","date_created":"2018-12-11T11:51:02Z","date_published":"2016-08-01T00:00:00Z","doi":"10.1007/s11005-016-0860-8","year":"2016","has_accepted_license":"1","publication":"Letters in Mathematical Physics","day":"01","oa":1,"quality_controlled":"1","publisher":"Springer","acknowledgement":"Open access funding provided by Institute of Science and Technology Austria.\r\n","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"full_name":"Nam, Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan"}],"publist_id":"6054","title":"Nonexistence of large nuclei in the liquid drop model","citation":{"apa":"Frank, R., Killip, R., & Nam, P. (2016). Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0860-8","ama":"Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 2016;106(8):1033-1036. doi:10.1007/s11005-016-0860-8","ieee":"R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid drop model,” Letters in Mathematical Physics, vol. 106, no. 8. Springer, pp. 1033–1036, 2016.","short":"R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036.","mla":"Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:10.1007/s11005-016-0860-8.","ista":"Frank R, Killip R, Nam P. 2016. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 106(8), 1033–1036.","chicago":"Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0860-8."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}]},{"date_updated":"2021-01-12T06:49:40Z","ddc":["510","530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:42Z","_id":"1291","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","pubrep_id":"688","publication_status":"published","file":[{"creator":"system","file_size":794983,"date_updated":"2020-07-14T12:44:42Z","file_name":"IST-2016-688-v1+1_s00220-016-2665-0.pdf","date_created":"2018-12-12T10:09:02Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"3c6e08c048fc462e312788be72874bb1","file_id":"4725"}],"language":[{"iso":"eng"}],"volume":347,"issue":"3","abstract":[{"text":"We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p > 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity.","lang":"eng"}],"oa_version":"Published Version","scopus_import":1,"month":"11","intvolume":" 347","citation":{"ieee":"A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3. Springer, pp. 983–1007, 2016.","short":"A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.","apa":"Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-016-2665-0","ama":"Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007. doi:10.1007/s00220-016-2665-0","mla":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.","ista":"Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.","chicago":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Alessandro","last_name":"Giuliani","full_name":"Giuliani, Alessandro"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"6025","title":"Periodic striped ground states in Ising models with competing interactions","project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"has_accepted_license":"1","year":"2016","day":"01","publication":"Communications in Mathematical Physics","page":"983 - 1007","doi":"10.1007/s00220-016-2665-0","date_published":"2016-11-01T00:00:00Z","date_created":"2018-12-11T11:51:11Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The\r\nresearch leading to these results has received funding from the European Research Council under the European\r\nUnion’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN National Grant Geometric and analytic theory of Hamiltonian systems in finite and infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27. Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems, random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully acknowledged.","quality_controlled":"1","publisher":"Springer","oa":1},{"project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"article_number":"012016","title":"Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential","publist_id":"5770","author":[{"first_name":"Martin","full_name":"Könenberg, Martin","last_name":"Könenberg"},{"full_name":"Moser, Thomas","last_name":"Moser","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Yngvason","full_name":"Yngvason, Jakob","first_name":"Jakob"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.","ieee":"M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.","short":"M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.","apa":"Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In Journal of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing Ltd. https://doi.org/10.1088/1742-6596/691/1/012016","ama":"Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In: Journal of Physics: Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016","chicago":"Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016.","ista":"Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016."},"oa":1,"publisher":"IOP Publishing Ltd.","quality_controlled":"1","date_created":"2018-12-11T11:51:58Z","doi":"10.1088/1742-6596/691/1/012016","date_published":"2016-03-07T00:00:00Z","publication":"Journal of Physics: Conference Series","day":"07","year":"2016","has_accepted_license":"1","pubrep_id":"585","status":"public","conference":{"name":"24th International Laser Physics Workshop (LPHYS'15)","end_date":"2015-08-25","location":"Shanghai, China","start_date":"2015-08-21"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"conference","_id":"1428","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:53Z","ddc":["510","530"],"date_updated":"2021-01-12T06:50:40Z","intvolume":" 691","month":"03","scopus_import":1,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We report on a mathematically rigorous analysis of the superfluid properties of a Bose- Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential."}],"volume":691,"issue":"1","language":[{"iso":"eng"}],"file":[{"date_created":"2018-12-12T10:10:55Z","file_name":"IST-2016-585-v1+1_JPCS_691_1_012016.pdf","date_updated":"2020-07-14T12:44:53Z","file_size":1434688,"creator":"system","file_id":"4847","checksum":"109db801749072c3f6c8f1a1848700fa","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"publication_status":"published"},{"intvolume":" 106","month":"07","scopus_import":1,"oa_version":"Published Version","abstract":[{"text":"We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg–Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior.","lang":"eng"}],"issue":"7","volume":106,"language":[{"iso":"eng"}],"file":[{"creator":"system","file_size":458968,"date_updated":"2020-07-14T12:44:53Z","file_name":"IST-2016-591-v1+1_s11005-016-0847-5.pdf","date_created":"2018-12-12T10:15:57Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"5181","checksum":"fb404923d8ca9a1faeb949561f26cbea"}],"publication_status":"published","pubrep_id":"591","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","_id":"1422","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:53Z","ddc":["510","530"],"date_updated":"2021-01-12T06:50:38Z","oa":1,"publisher":"Springer","quality_controlled":"1","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","date_created":"2018-12-11T11:51:56Z","doi":"10.1007/s11005-016-0847-5","date_published":"2016-07-01T00:00:00Z","page":"913 - 923","publication":"Letters in Mathematical Physics","day":"01","year":"2016","has_accepted_license":"1","project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"title":"Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations","article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"publist_id":"5785","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923.","chicago":"Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5.","ieee":"R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7. Springer, pp. 913–923, 2016.","short":"R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.","apa":"Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0847-5","ama":"Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5","mla":"Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5."}},{"file_date_updated":"2020-07-14T12:44:54Z","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:50:43Z","ddc":["510","530"],"type":"journal_article","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"status":"public","pubrep_id":"581","_id":"1436","volume":105,"issue":"1","ec_funded":1,"publication_status":"published","file":[{"checksum":"c5afe1f6935bc7f2b546adbde1d31a35","file_id":"4825","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2018-12-12T10:10:36Z","file_name":"IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf","creator":"system","date_updated":"2020-07-14T12:44:54Z","file_size":658491}],"language":[{"iso":"eng"}],"scopus_import":1,"month":"01","intvolume":" 105","abstract":[{"lang":"eng","text":"We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system."}],"oa_version":"Published Version","publist_id":"5763","author":[{"first_name":"Volker","full_name":"Bach, Volker","last_name":"Bach"},{"last_name":"Breteaux","full_name":"Breteaux, Sébastien","first_name":"Sébastien"},{"last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"},{"first_name":"Tim","full_name":"Tzaneteas, Tim","last_name":"Tzaneteas"}],"title":"Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction","citation":{"short":"V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.","ieee":"V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1. Elsevier, pp. 1–30, 2016.","ama":"Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30. doi:10.1016/j.matpur.2015.09.003","apa":"Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., & Tzaneteas, T. (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003","mla":"Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.","ista":"Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30.","chicago":"Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"}],"page":"1 - 30","doi":"10.1016/j.matpur.2015.09.003","date_published":"2016-01-01T00:00:00Z","date_created":"2018-12-11T11:52:00Z","has_accepted_license":"1","year":"2016","day":"01","publication":"Journal de Mathématiques Pures et Appliquées","publisher":"Elsevier","quality_controlled":"1","oa":1},{"oa":1,"publisher":"IOP Publishing Ltd.","quality_controlled":"1","year":"2016","has_accepted_license":"1","publication":"New Journal of Physics","day":"29","date_created":"2018-12-11T11:52:15Z","doi":"10.1088/1367-2630/18/3/035002","date_published":"2016-02-29T00:00:00Z","article_number":"035002","project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"citation":{"ieee":"R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3. IOP Publishing Ltd., 2016.","short":"R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).","apa":"Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/18/3/035002","ama":"Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3). doi:10.1088/1367-2630/18/3/035002","mla":"Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.","ista":"Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002.","chicago":"Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"5716","author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"},{"first_name":"Simone","last_name":"Warzel","full_name":"Warzel, Simone"}],"title":"Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas","abstract":[{"lang":"eng","text":"We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Moreover, there is no Bose-Einstein condensation and no superfluidity, even at zero temperature."}],"oa_version":"Published Version","scopus_import":1,"intvolume":" 18","month":"02","publication_status":"published","language":[{"iso":"eng"}],"file":[{"file_name":"IST-2016-579-v1+1_njp_18_3_035002.pdf","date_created":"2018-12-12T10:17:22Z","file_size":965607,"date_updated":"2020-07-14T12:44:56Z","creator":"system","checksum":"4f959eabc19d2a2f518318a450a4d424","file_id":"5276","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"volume":18,"issue":"3","_id":"1478","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","pubrep_id":"579","status":"public","date_updated":"2021-01-12T06:51:01Z","ddc":["510","530"],"file_date_updated":"2020-07-14T12:44:56Z","department":[{"_id":"RoSe"}]},{"oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1511.01995","open_access":"1"}],"publisher":"American Institute of Physics","scopus_import":1,"quality_controlled":"1","intvolume":" 57","month":"02","abstract":[{"lang":"eng","text":"We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers, partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime."}],"oa_version":"Preprint","date_created":"2018-12-11T11:52:18Z","volume":57,"issue":"2","doi":"10.1063/1.4941723","date_published":"2016-02-24T00:00:00Z","year":"2016","publication_status":"published","language":[{"iso":"eng"}],"publication":"Journal of Mathematical Physics","day":"24","type":"journal_article","status":"public","_id":"1486","article_number":"021101","publist_id":"5701","author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"department":[{"_id":"RoSe"}],"title":"The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties","citation":{"apa":"Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4941723","ama":"Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 2016;57(2). doi:10.1063/1.4941723","ieee":"C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” Journal of Mathematical Physics, vol. 57, no. 2. American Institute of Physics, 2016.","short":"C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).","mla":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.","ista":"Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.","chicago":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723."},"date_updated":"2021-01-12T06:51:04Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87"},{"citation":{"ista":"Petrat SP, Pickl P. 2016. A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. 19(1), 3.","chicago":"Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9204-2.","ieee":"S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic mean-field dynamics,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1. Springer, 2016.","short":"S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).","ama":"Petrat SP, Pickl P. A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. 2016;19(1). doi:10.1007/s11040-016-9204-2","apa":"Petrat, S. P., & Pickl, P. (2016). A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9204-2","mla":"Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1, 3, Springer, 2016, doi:10.1007/s11040-016-9204-2."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"}],"publist_id":"5690","article_processing_charge":"Yes (via OA deal)","title":"A new method and a new scaling for deriving fermionic mean-field dynamics","article_number":"3","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"has_accepted_license":"1","year":"2016","day":"01","publication":"Mathematical Physics, Analysis and Geometry","doi":"10.1007/s11040-016-9204-2","date_published":"2016-03-01T00:00:00Z","date_created":"2018-12-11T11:52:20Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","quality_controlled":"1","publisher":"Springer","oa":1,"date_updated":"2021-01-12T06:51:08Z","ddc":["510","530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:58Z","_id":"1493","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","pubrep_id":"514","publication_status":"published","file":[{"creator":"system","date_updated":"2020-07-14T12:44:58Z","file_size":911310,"date_created":"2018-12-12T10:16:55Z","file_name":"IST-2016-514-v1+1_s11040-016-9204-2.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"5246","checksum":"eb5d2145ef0d377c4f78bf06e18f4529"}],"language":[{"iso":"eng"}],"issue":"1","volume":19,"ec_funded":1,"abstract":[{"lang":"eng","text":"We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock equations as an effective mean-field dynamics from the microscopic Schrödinger equation for fermionic many-particle systems in quantum mechanics. The method is an adaption of the method used in Pickl (Lett. Math. Phys. 97 (2) 151–164 2011) for bosonic systems to fermionic systems. It is based on a Gronwall type estimate for a suitable measure of distance between the microscopic solution and an antisymmetrized product state. We use this method to treat a new mean-field limit for fermions with long-range interactions in a large volume. Some of our results hold for singular attractive or repulsive interactions. We can also treat Coulomb interaction assuming either a mild singularity cutoff or certain regularity conditions on the solutions to the Hartree(-Fock) equations. In the considered limit, the kinetic and interaction energy are of the same order, while the average force is subleading. For some interactions, we prove that the Hartree(-Fock) dynamics is a more accurate approximation than a simpler dynamics that one would expect from the subleading force. With our method we also treat the mean-field limit coupled to a semiclassical limit, which was discussed in the literature before, and we recover some of the previous results. All results hold for initial data close (but not necessarily equal) to antisymmetrized product states and we always provide explicit rates of convergence."}],"oa_version":"Published Version","scopus_import":1,"month":"03","intvolume":" 19"},{"intvolume":" 368","month":"01","main_file_link":[{"url":"http://arxiv.org/abs/1405.3220","open_access":"1"}],"scopus_import":1,"oa_version":"Submitted Version","abstract":[{"text":"We study the ground state of a trapped Bose gas, starting from the full many-body Schrödinger Hamiltonian, and derive the non-linear Schrödinger energy functional in the limit of a large particle number, when the interaction potential converges slowly to a Dirac delta function. Our method is based on quantitative estimates on the discrepancy between the full many-body energy and its mean-field approximation using Hartree states. These are proved using finite dimensional localization and a quantitative version of the quantum de Finetti theorem. Our approach covers the case of attractive interactions in the regime of stability. In particular, our main new result is a derivation of the 2D attractive non-linear Schrödinger ground state.","lang":"eng"}],"volume":368,"issue":"9","language":[{"iso":"eng"}],"publication_status":"published","status":"public","type":"journal_article","_id":"1491","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:51:07Z","oa":1,"publisher":"American Mathematical Society","quality_controlled":"1","acknowledgement":"The authors acknowledge financial support from the European Research Council (FP7/2007-2013 Grant Agreement MNIQS 258023) and the ANR (Mathostaq project, ANR-13-JS01-0005-01). The second and third authors have benefited from the hospitality of the Institute for Mathematical Science of the National University of Singapore.","date_created":"2018-12-11T11:52:20Z","doi":"10.1090/tran/6537","date_published":"2016-01-01T00:00:00Z","page":"6131 - 6157","publication":"Transactions of the American Mathematical Society","day":"01","year":"2016","title":"The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","full_name":"Nam, Phan","last_name":"Nam"},{"first_name":"Nicolas","full_name":"Rougerie, Nicolas","last_name":"Rougerie"}],"publist_id":"5692","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Lewin, M., Nam, P., & Rougerie, N. (2016). The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/6537","ama":"Lewin M, Nam P, Rougerie N. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. 2016;368(9):6131-6157. doi:10.1090/tran/6537","short":"M. Lewin, P. Nam, N. Rougerie, Transactions of the American Mathematical Society 368 (2016) 6131–6157.","ieee":"M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases,” Transactions of the American Mathematical Society, vol. 368, no. 9. American Mathematical Society, pp. 6131–6157, 2016.","mla":"Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57, doi:10.1090/tran/6537.","ista":"Lewin M, Nam P, Rougerie N. 2016. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. 368(9), 6131–6157.","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society. American Mathematical Society, 2016. https://doi.org/10.1090/tran/6537."}},{"_id":"1545","type":"journal_article","status":"public","date_updated":"2021-01-12T06:51:30Z","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute."}],"oa_version":"Submitted Version","main_file_link":[{"url":"http://arxiv.org/abs/1508.07321","open_access":"1"}],"scopus_import":1,"intvolume":" 270","month":"06","publication_status":"published","language":[{"iso":"eng"}],"ec_funded":1,"volume":270,"issue":"11","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"citation":{"mla":"Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis, vol. 270, no. 11, Academic Press, 2016, pp. 4340–68, doi:10.1016/j.jfa.2015.12.007.","apa":"Nam, P., Napiórkowski, M. M., & Solovej, J. (2016). Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2015.12.007","ama":"Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 2016;270(11):4340-4368. doi:10.1016/j.jfa.2015.12.007","ieee":"P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations,” Journal of Functional Analysis, vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016.","short":"P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270 (2016) 4340–4368.","chicago":"Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2015.12.007.","ista":"Nam P, Napiórkowski MM, Solovej J. 2016. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 270(11), 4340–4368."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Nam","full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"publist_id":"5626","title":"Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations","acknowledgement":"We thank Jan Dereziński for several inspiring discussions and useful remarks. We thank the referee for helpful comments. J.P.S. thanks the Erwin Schrödinger Institute for the hospitality during the thematic programme “Quantum many-body systems, random matrices, and disorder”. We gratefully acknowledge the financial supports by the European Union's Seventh Framework Programme under the ERC Advanced Grant ERC-2012-AdG 321029 (J.P.S.) and the REA grant agreement No. 291734 (P.T.N.), as well as the support of the National Science Center (NCN) grant No. 2012/07/N/ST1/03185 and the Austrian Science Fund (FWF) project No. P 27533-N27 (M.N.).","oa":1,"publisher":"Academic Press","quality_controlled":"1","year":"2016","publication":"Journal of Functional Analysis","day":"01","page":"4340 - 4368","date_created":"2018-12-11T11:52:38Z","date_published":"2016-06-01T00:00:00Z","doi":"10.1016/j.jfa.2015.12.007"},{"acknowledgement":"The authors are grateful to I. M. Sigal for useful discussions. Financial support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432 (R.L.F.), from the Danish council for independent research and from ERC Advanced Grant 321029 (J.P.S.) is acknowledged.","publisher":"Springer","quality_controlled":"1","oa":1,"day":"01","publication":"Communications in Mathematical Physics","year":"2016","date_published":"2016-02-01T00:00:00Z","doi":"10.1007/s00220-015-2526-2","date_created":"2018-12-11T11:53:04Z","page":"189 - 216","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1. Springer, pp. 189–216, 2016.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216. doi:10.1007/s00220-015-2526-2","apa":"Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2526-2","chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2.","ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 342(1), 189–216."},"title":"The external field dependence of the BCS critical temperature","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Solovej, Jan","last_name":"Solovej","first_name":"Jan"}],"publist_id":"5546","oa_version":"Submitted Version","abstract":[{"text":"We consider the Bardeen–Cooper–Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg–Landau equation.","lang":"eng"}],"month":"02","intvolume":" 342","scopus_import":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1410.2352"}],"language":[{"iso":"eng"}],"publication_status":"published","volume":342,"issue":"1","_id":"1620","status":"public","type":"journal_article","date_updated":"2021-01-12T06:52:03Z","department":[{"_id":"RoSe"}]},{"project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"author":[{"full_name":"Lundholm, Douglas","last_name":"Lundholm","first_name":"Douglas"},{"last_name":"Nam","full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Fabian","full_name":"Portmann, Fabian","last_name":"Portmann"}],"publist_id":"5542","title":"Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems","citation":{"apa":"Lundholm, D., Nam, P., & Portmann, F. (2016). Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. Springer. https://doi.org/10.1007/s00205-015-0923-5","ama":"Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 2016;219(3):1343-1382. doi:10.1007/s00205-015-0923-5","short":"D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis 219 (2016) 1343–1382.","ieee":"D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems,” Archive for Rational Mechanics and Analysis, vol. 219, no. 3. Springer, pp. 1343–1382, 2016.","mla":"Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis, vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:10.1007/s00205-015-0923-5.","ista":"Lundholm D, Nam P, Portmann F. 2016. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 219(3), 1343–1382.","chicago":"Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis. Springer, 2016. https://doi.org/10.1007/s00205-015-0923-5."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa":1,"publisher":"Springer","quality_controlled":"1","acknowledgement":"We thank Jan Philip Solovej, Robert Seiringer and Vladimir Maz’ya for helpful discussions, as well as Rupert Frank\r\nand the anonymous referee for useful comments. Part of this work has been carried out during a visit at the Institut Mittag-Leffler (Stockholm). D.L. acknowledges financial support by the grant KAW 2010.0063 from the Knut and Alice Wallenberg Foundation and the Swedish Research Council grant no. 2013-4734. P.T.N. is supported by the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no. 291734. F.P. acknowledges support from the ERC project no. 321029 “The\r\nmathematics of the structure of matter”.","page":"1343 - 1382","date_created":"2018-12-11T11:53:05Z","doi":"10.1007/s00205-015-0923-5","date_published":"2016-03-01T00:00:00Z","year":"2016","publication":"Archive for Rational Mechanics and Analysis","day":"01","type":"journal_article","status":"public","_id":"1622","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:52:04Z","main_file_link":[{"url":"http://arxiv.org/abs/1501.04570","open_access":"1"}],"scopus_import":1,"intvolume":" 219","month":"03","abstract":[{"lang":"eng","text":"We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials, where no anti-symmetry on the wave functions is assumed. These many-body inequalities imply interesting one-body interpolation inequalities, and we show that the corresponding one- and many-body inequalities are actually equivalent in certain cases."}],"oa_version":"Submitted Version","ec_funded":1,"volume":219,"issue":"3","publication_status":"published","language":[{"iso":"eng"}]},{"abstract":[{"lang":"eng","text":"We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. Our proof comes with explicit, constructive upper and lower bounds on the error term. It uses in an essential way the bosonic formulation of the model in terms of the Holstein-Primakoff representation. In this language, the model describes interacting bosons with a hard-core on-site repulsion and a nearest-neighbor attraction. This attractive interaction makes the lower bound on the free energy particularly tricky: the key idea there is to prove a differential inequality for the two-particle density, which is thereby shown to be smaller than the probability density of a suitably weighted two-particle random process on the lattice.\r\n"}],"oa_version":"Preprint","oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1312.7873","open_access":"1"}],"quality_controlled":"1","scopus_import":1,"publisher":"Springer","intvolume":" 339","month":"06","year":"2015","publication_status":"published","publication":"Communications in Mathematical Physics","language":[{"iso":"eng"}],"day":"23","page":"279 - 307","date_created":"2018-12-11T11:52:47Z","issue":"1","date_published":"2015-06-23T00:00:00Z","volume":339,"doi":"10.1007/s00220-015-2402-0","_id":"1572","type":"journal_article","status":"public","citation":{"ista":"Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 339(1), 279–307.","chicago":"Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.","ieee":"M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical Physics, vol. 339, no. 1. Springer, pp. 279–307, 2015.","short":"M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.","apa":"Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2402-0","ama":"Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0","mla":"Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0."},"date_updated":"2021-01-12T06:51:41Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Michele","last_name":"Correggi","full_name":"Correggi, Michele"},{"first_name":"Alessandro","last_name":"Giuliani","full_name":"Giuliani, Alessandro"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"publist_id":"5599","title":"Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet","department":[{"_id":"RoSe"}]},{"publication_status":"published","language":[{"iso":"eng"}],"issue":"10","volume":68,"abstract":[{"lang":"eng","text":"We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent to the one established in the celebrated works of Erdos, Schlein, and Yau."}],"oa_version":"Preprint","main_file_link":[{"url":"http://arxiv.org/abs/1307.3168","open_access":"1"}],"scopus_import":1,"intvolume":" 68","month":"10","date_updated":"2021-01-12T06:51:41Z","department":[{"_id":"RoSe"}],"_id":"1573","type":"journal_article","status":"public","year":"2015","publication":"Communications on Pure and Applied Mathematics","day":"01","page":"1845 - 1884","date_created":"2018-12-11T11:52:48Z","date_published":"2015-10-01T00:00:00Z","doi":"10.1002/cpa.21552","oa":1,"quality_controlled":"1","publisher":"Wiley","citation":{"chicago":"Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015. https://doi.org/10.1002/cpa.21552.","ista":"Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 68(10), 1845–1884.","mla":"Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.","ieee":"T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications on Pure and Applied Mathematics, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.","short":"T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.","ama":"Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552","apa":"Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21552"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Thomas","last_name":"Chen","full_name":"Chen, Thomas"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"full_name":"Pavlović, Nataša","last_name":"Pavlović","first_name":"Nataša"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publist_id":"5598","title":"Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti","project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}]},{"quality_controlled":"1","publisher":"Springer","oa":1,"date_published":"2015-08-05T00:00:00Z","doi":"10.1007/s11005-015-0787-5","date_created":"2018-12-11T11:53:34Z","page":"1449 - 1466","day":"05","publication":"Letters in Mathematical Physics","has_accepted_license":"1","year":"2015","title":"Note on a family of monotone quantum relative entropies","publist_id":"5432","author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.","chicago":"Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.","ama":"Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5","apa":"Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-015-0787-5","ieee":"A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10. Springer, pp. 1449–1466, 2015.","short":"A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.","mla":"Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5."},"month":"08","intvolume":" 105","scopus_import":1,"main_file_link":[{"url":"http://arxiv.org/abs/1502.07205","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"Given a convex function (Formula presented.) and two hermitian matrices A and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative entropy defined by (Formula presented.). Among other things, they prove that the so-defined quantity is monotone if and only if (Formula presented.) is operator monotone. The monotonicity is then used to properly define (Formula presented.) for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional projections (Formula presented.) with (Formula presented.) strongly, the limit (Formula presented.) is shown to exist and to be independent of the sequence of projections (Formula presented.). The question whether this sequence converges to its "obvious" limit, namely (Formula presented.), has been left open. We answer this question in principle affirmatively and show that (Formula presented.). If the operators A and B are regular enough, that is (A − B), (Formula presented.) and (Formula presented.) are trace-class, the identity (Formula presented.) holds."}],"volume":105,"issue":"10","license":"https://creativecommons.org/licenses/by-nc/4.0/","file":[{"creator":"dernst","file_size":484967,"date_updated":"2020-07-14T12:45:13Z","file_name":"2015_LettersMathPhys_Deuchert.pdf","date_created":"2019-01-15T14:42:07Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"5836","checksum":"fd7307282a314cc1fbbaef77b187516b"}],"language":[{"iso":"eng"}],"publication_status":"published","status":"public","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","short":"CC BY-NC (4.0)"},"_id":"1704","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:13Z","ddc":["510"],"date_updated":"2021-01-12T06:52:38Z"}]