[{"title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","date_updated":"2025-04-14T07:43:58Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"10","oa":1,"department":[{"_id":"RoSe"}],"arxiv":1,"language":[{"iso":"eng"}],"file":[{"relation":"main_file","content_type":"application/pdf","checksum":"d0d32c338c1896680174be88c70968fa","file_size":5957888,"file_id":"11784","access_level":"open_access","date_created":"2022-08-11T07:03:02Z","success":1,"date_updated":"2022-08-11T07:03:02Z","creator":"dernst","file_name":"2022_JourMathPhysics_Bossmann.pdf"}],"type":"journal_article","ddc":["530"],"month":"06","date_created":"2022-08-11T06:37:52Z","article_type":"original","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.","volume":63,"publisher":"AIP Publishing","ec_funded":1,"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"corr_author":"1","scopus_import":"1","file_date_updated":"2022-08-11T07:03:02Z","has_accepted_license":"1","_id":"11783","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"year":"2022","publication":"Journal of Mathematical Physics","article_number":"061102","citation":{"apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102.","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6. AIP Publishing, 2022.","chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>.","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2022;63(6). doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>"},"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000809648100002"],"arxiv":["2203.00730"]},"author":[{"orcid":"0000-0002-6854-1343","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","last_name":"Bossmann"}],"publication_status":"published","issue":"6","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."}],"intvolume":"        63","fulldoi":"https://doi.org/10.1063/5.0089983","date_published":"2022-06-10T00:00:00Z","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"isi":1,"oa_version":"Published Version","quality_controlled":"1","doi":"10.1063/5.0089983"},{"year":"2022","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"11917","external_id":{"isi":["000805175000001"]},"article_processing_charge":"Yes (via OA deal)","citation":{"ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 188. Springer Nature, 2022.","apa":"Rademacher, S. A. E., &#38; Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 188, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>.","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>.","ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. 2022;188. doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>"},"article_number":"9","publication":"Journal of Statistical Physics","fulldoi":"https://doi.org/10.1007/s10955-022-02940-4","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"date_published":"2022-07-01T00:00:00Z","isi":1,"oa_version":"Published Version","abstract":[{"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.","lang":"eng"}],"intvolume":"       188","author":[{"orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"publication_status":"published","doi":"10.1007/s10955-022-02940-4","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-14T07:26:59Z","title":"Large deviation estimates for weakly interacting bosons","oa":1,"day":"01","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.","article_type":"original","volume":188,"date_created":"2022-08-18T07:23:26Z","month":"07","type":"journal_article","ddc":["510"],"file":[{"relation":"main_file","content_type":"application/pdf","checksum":"44418cb44f07fa21ed3907f85abf7f39","file_id":"11922","file_size":483481,"access_level":"open_access","date_created":"2022-08-18T08:09:00Z","date_updated":"2022-08-18T08:09:00Z","success":1,"creator":"dernst","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf"}],"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"has_accepted_license":"1","scopus_import":"1","file_date_updated":"2022-08-18T08:09:00Z","corr_author":"1","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"ec_funded":1,"publisher":"Springer Nature"},{"doi":"10.1063/5.0086712","quality_controlled":"1","intvolume":"        63","abstract":[{"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.","lang":"eng"}],"publication_status":"published","issue":"8","author":[{"full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira"}],"fulldoi":"https://doi.org/10.1063/5.0086712","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"oa_version":"Published Version","date_published":"2022-08-25T00:00:00Z","isi":1,"article_number":"081902","publication":"Journal of Mathematical Physics","external_id":{"arxiv":["2112.04817"],"isi":["000844402500001"]},"article_processing_charge":"No","citation":{"ama":"Rademacher SAE. Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. 2022;63(8). doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).","mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>.","chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>.","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>","ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8. AIP Publishing, 2022.","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902."},"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"12083","year":"2022","publication_identifier":{"issn":["0022-2488"]},"ec_funded":1,"publisher":"AIP Publishing","has_accepted_license":"1","scopus_import":"1","file_date_updated":"2022-09-12T07:35:34Z","corr_author":"1","file":[{"relation":"main_file","content_type":"application/pdf","checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","file_id":"12089","file_size":4552261,"access_level":"open_access","date_created":"2022-09-12T07:35:34Z","success":1,"date_updated":"2022-09-12T07:35:34Z","creator":"dernst","file_name":"2022_JourMathPhysics_Rademacher.pdf"}],"language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}],"volume":63,"article_type":"original","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.","date_created":"2022-09-11T22:01:56Z","ddc":["510"],"type":"journal_article","month":"08","day":"25","oa":1,"title":"Dependent random variables in quantum dynamics","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-14T07:26:59Z"},{"day":"15","oa":1,"title":"Improved Lieb–Oxford bound on the indirect and exchange energies","date_updated":"2025-04-14T07:26:59Z","ec_funded":1,"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"publisher":"Springer Nature","scopus_import":"1","department":[{"_id":"RoSe"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12473"}],"language":[{"iso":"eng"}],"arxiv":1,"date_created":"2023-01-16T09:53:54Z","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.","volume":112,"article_type":"original","type":"journal_article","month":"09","article_number":"92","publication":"Letters in Mathematical Physics","article_processing_charge":"No","external_id":{"arxiv":["2203.12473"],"isi":["000854762600001"]},"citation":{"ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5. Springer Nature, 2022.","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.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>","mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5, 92, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. 2022;112(5). doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>"},"_id":"12246","status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"year":"2022","quality_controlled":"1","doi":"10.1007/s11005-022-01584-5","intvolume":"       112","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."}],"author":[{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"publication_status":"published","issue":"5","oa_version":"Preprint","fulldoi":"https://doi.org/10.1007/s11005-022-01584-5","date_published":"2022-09-15T00:00:00Z","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"isi":1},{"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12276","year":"2022","keyword":["General Medicine"],"article_number":"030343","publication":"PRX Quantum","external_id":{"arxiv":["2204.02899"]},"article_processing_charge":"No","citation":{"ama":"Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. 2022;3(3). doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>","ista":"Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 3(3), 030343.","apa":"Ljubotina, M., Roos, B., Abanin, D. A., &#38; Serbyn, M. (2022). Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. American Physical Society. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>","ieee":"M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix product states and quantum many-body scars,” <i>PRX Quantum</i>, vol. 3, no. 3. American Physical Society, 2022.","mla":"Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>, vol. 3, no. 3, 030343, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>.","chicago":"Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>.","short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022)."},"intvolume":"         3","abstract":[{"text":"Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of nontrivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPSs). We compare counterdiabatic and leakage minimization approaches to the so-called local steering problem that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counterdiabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally, we apply our leakage minimization approach to construct quantum scars in the periodically driven nonintegrable Ising model.","lang":"eng"}],"publication_status":"published","issue":"3","author":[{"first_name":"Marko","orcid":"0000-0003-0038-7068","last_name":"Ljubotina","full_name":"Ljubotina, Marko","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E"},{"last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","full_name":"Roos, Barbara","first_name":"Barbara","orcid":"0000-0002-9071-5880"},{"full_name":"Abanin, Dmitry A.","last_name":"Abanin","first_name":"Dmitry A."},{"last_name":"Serbyn","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","full_name":"Serbyn, Maksym","first_name":"Maksym","orcid":"0000-0002-2399-5827"}],"project":[{"name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","grant_number":"850899","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020"}],"fulldoi":"https://doi.org/10.1103/prxquantum.3.030343","oa_version":"Published Version","date_published":"2022-09-23T00:00:00Z","doi":"10.1103/prxquantum.3.030343","quality_controlled":"1","title":"Optimal steering of matrix product states and quantum many-body scars","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-14T07:52:07Z","day":"23","oa":1,"file":[{"access_level":"open_access","date_created":"2023-01-30T11:02:50Z","date_updated":"2023-01-30T11:02:50Z","success":1,"creator":"dernst","file_name":"2022_PRXQuantum_Ljubotina.pdf","relation":"main_file","content_type":"application/pdf","checksum":"ef8f0a1b5a019b3958009162de0fa4c3","file_id":"12457","file_size":7661905}],"language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"MaSe"},{"_id":"RoSe"}],"volume":3,"acknowledgement":"We thank A. A. Michailidis for insightful discussions. M.L. and M.S. acknowledge support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). D.A. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and by the Swiss National Science Foundation. The infinite TEBD simulations were performed using the ITensor library [67].","article_type":"original","date_created":"2023-01-16T10:01:56Z","type":"journal_article","month":"09","ddc":["530"],"publication_identifier":{"eissn":["2691-3399"]},"ec_funded":1,"publisher":"American Physical Society","has_accepted_license":"1","scopus_import":"1","file_date_updated":"2023-01-30T11:02:50Z","corr_author":"1"},{"tmp":{"short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png"},"date_updated":"2026-04-16T08:20:52Z","title":"Translation-invariant quantum systems with effectively broken symmetry","oa":1,"related_material":{"record":[{"status":"public","id":"9005","relation":"part_of_dissertation"}]},"day":"15","date_created":"2023-01-26T10:00:42Z","page":"196","month":"12","ddc":["500"],"type":"dissertation","file":[{"checksum":"b31460e937f33b557abb40ebef02b567","file_id":"12391","file_size":3095225,"relation":"main_file","content_type":"application/pdf","creator":"cchlebak","file_name":"Brooks_Thesis.pdf","date_created":"2023-01-26T10:02:34Z","access_level":"open_access","success":1,"date_updated":"2023-01-26T10:02:34Z"},{"file_size":809842,"file_id":"12392","checksum":"9751869fa5e7981588ad4228f4fd4bd6","content_type":"application/octet-stream","relation":"source_file","file_name":"Brooks_Thesis.tex","creator":"cchlebak","date_updated":"2023-01-26T10:02:42Z","access_level":"closed","date_created":"2023-01-26T10:02:42Z"}],"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"language":[{"iso":"eng"}],"has_accepted_license":"1","alternative_title":["ISTA Thesis"],"corr_author":"1","OA_place":"publisher","file_date_updated":"2023-01-26T10:02:42Z","supervisor":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"ec_funded":1,"publication_identifier":{"issn":["2663-337X"]},"publisher":"Institute of Science and Technology Austria","year":"2022","degree_awarded":"PhD","_id":"12390","status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","article_processing_charge":"No","citation":{"ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>","apa":"Brooks, M. (2022). <i>Translation-invariant quantum systems with effectively broken symmetry</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>","ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022.","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria.","short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>.","mla":"Brooks, Morris. <i>Translation-Invariant Quantum Systems with Effectively Broken Symmetry</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>."},"date_published":"2022-12-15T00:00:00Z","fulldoi":"https://doi.org/10.15479/at:ista:12390","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"oa_version":"Published Version","abstract":[{"lang":"eng","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"}],"publication_status":"published","author":[{"orcid":"0000-0002-6249-0928","first_name":"Morris","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks"}],"doi":"10.15479/at:ista:12390"},{"scopus_import":"1","publication_identifier":{"issn":["1424-0637"]},"ec_funded":1,"publisher":"Springer Nature","volume":23,"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).","article_type":"original","date_created":"2021-12-12T23:01:28Z","page":"1725-1764","month":"05","type":"journal_article","language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}],"main_file_link":[{"url":"https://arxiv.org/abs/2103.08224","open_access":"1"}],"oa":1,"day":"01","date_updated":"2025-04-14T07:26:53Z","title":"Bosonization of fermionic many-body dynamics","doi":"10.1007/s00023-021-01136-y","quality_controlled":"1","fulldoi":"https://doi.org/10.1007/s00023-021-01136-y","date_published":"2022-05-01T00:00:00Z","isi":1,"oa_version":"Preprint","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"intvolume":"        23","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."}],"publication_status":"published","author":[{"last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P","first_name":"Niels P","orcid":"0000-0002-1071-6091"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","last_name":"Porta","first_name":"Marcello"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"issue":"5","external_id":{"arxiv":["2103.08224"],"isi":["000725405700001"]},"article_processing_charge":"No","citation":{"ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. <i>Annales Henri Poincaré</i>. 2022;23(5):1725-1764. doi:<a href=\"https://doi.org/10.1007/s00023-021-01136-y\">10.1007/s00023-021-01136-y</a>","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2022). Bosonization of fermionic many-body dynamics. <i>Annales Henri Poincaré</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-021-01136-y\">https://doi.org/10.1007/s00023-021-01136-y</a>","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” <i>Annales Henri Poincaré</i>, vol. 23, no. 5. Springer Nature, pp. 1725–1764, 2022.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2022. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 23(5), 1725–1764.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré 23 (2022) 1725–1764.","mla":"Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” <i>Annales Henri Poincaré</i>, vol. 23, no. 5, Springer Nature, 2022, pp. 1725–64, doi:<a href=\"https://doi.org/10.1007/s00023-021-01136-y\">10.1007/s00023-021-01136-y</a>.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” <i>Annales Henri Poincaré</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00023-021-01136-y\">https://doi.org/10.1007/s00023-021-01136-y</a>."},"publication":"Annales Henri Poincaré","year":"2022","status":"public","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"10537"},{"external_id":{"arxiv":["2106.09328"],"isi":["000726275600001"]},"article_processing_charge":"Yes (via OA deal)","citation":{"mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>.","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,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>"},"article_number":"5","publication":"Journal of Statistical Physics","year":"2022","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10564","doi":"10.1007/s10955-021-02851-w","quality_controlled":"1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"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"}],"fulldoi":"https://doi.org/10.1007/s10955-021-02851-w","date_published":"2022-01-01T00:00:00Z","isi":1,"oa_version":"Published Version","abstract":[{"lang":"eng","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."}],"intvolume":"       186","author":[{"first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"publication_status":"published","issue":"1","oa":1,"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11473"}]},"day":"01","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-04-07T14:14:51Z","title":"Polaron models with regular interactions at strong coupling","has_accepted_license":"1","file_date_updated":"2022-02-02T14:24:41Z","scopus_import":"1","corr_author":"1","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"ec_funded":1,"publisher":"Springer Nature","article_type":"original","volume":186,"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).","date_created":"2021-12-19T23:01:32Z","type":"journal_article","month":"01","ddc":["530"],"file":[{"content_type":"application/pdf","relation":"main_file","file_id":"10716","file_size":434957,"checksum":"da03f6d293c4b9802091bce9471b1d29","success":1,"date_updated":"2022-02-02T14:24:41Z","access_level":"open_access","date_created":"2022-02-02T14:24:41Z","file_name":"2022_JournalStatPhys_Myśliwy.pdf","creator":"cchlebak"}],"language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}]},{"_id":"10755","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","year":"2022","publication":"Journal of Physics A: Mathematical and Theoretical","article_number":"015201","citation":{"apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2022). The effective mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/ac3947\">https://doi.org/10.1088/1751-8121/ac3947</a>","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.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 1. IOP Publishing, 2022.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1751-8121/ac3947\">10.1088/1751-8121/ac3947</a>.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2022. <a href=\"https://doi.org/10.1088/1751-8121/ac3947\">https://doi.org/10.1088/1751-8121/ac3947</a>.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2022;55(1). doi:<a href=\"https://doi.org/10.1088/1751-8121/ac3947\">10.1088/1751-8121/ac3947</a>"},"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2107.03720"]},"publication_status":"published","author":[{"first_name":"Dario","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"issue":"1","intvolume":"        55","abstract":[{"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).","lang":"eng"}],"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"fulldoi":"https://doi.org/10.1088/1751-8121/ac3947","oa_version":"Published Version","date_published":"2022-01-19T00:00:00Z","quality_controlled":"1","doi":"10.1088/1751-8121/ac3947","title":"The effective mass problem for the Landau-Pekar equations","date_updated":"2025-04-15T06:54:54Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"19","related_material":{"record":[{"relation":"earlier_version","id":"9791","status":"public"}]},"oa":1,"department":[{"_id":"RoSe"}],"arxiv":1,"language":[{"iso":"eng"}],"file":[{"date_updated":"2022-02-14T08:20:19Z","success":1,"date_created":"2022-02-14T08:20:19Z","access_level":"open_access","file_name":"2022_JournalPhysicsA_Feliciangeli.pdf","creator":"dernst","content_type":"application/pdf","relation":"main_file","file_size":1132380,"file_id":"10757","checksum":"0875e562705563053d6dd98fba4d8578"}],"type":"journal_article","month":"01","ddc":["510"],"date_created":"2022-02-13T23:01:35Z","volume":55,"article_type":"original","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.","publisher":"IOP Publishing","ec_funded":1,"publication_identifier":{"eissn":["1751-8121"],"issn":["1751-8113"]},"corr_author":"1","scopus_import":"1","file_date_updated":"2022-02-14T08:20:19Z","has_accepted_license":"1"},{"article_number":"5","publication":"Journal of Statistical Physics","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000833007200002"]},"citation":{"mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>.","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,” <i>Journal of Statistical Physics</i>, vol. 189. Springer Nature, 2022.","apa":"Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. 2022;189. doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>"},"_id":"11732","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"year":"2022","quality_controlled":"1","doi":"10.1007/s10955-022-02965-9","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."}],"author":[{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"},{"orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen"}],"publication_status":"published","oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s10955-022-02965-9","isi":1,"date_published":"2022-07-29T00:00:00Z","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"related_material":{"record":[{"status":"public","id":"19540","relation":"dissertation_contains"},{"id":"18135","relation":"dissertation_contains","status":"public"}]},"day":"29","oa":1,"title":"The BCS energy gap at high density","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2026-10-02T11:43:00Z","ec_funded":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"publisher":"Springer Nature","has_accepted_license":"1","corr_author":"1","scopus_import":"1","file_date_updated":"2022-08-08T07:36:34Z","file":[{"access_level":"open_access","date_created":"2022-08-08T07:36:34Z","success":1,"date_updated":"2022-08-08T07:36:34Z","creator":"dernst","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","relation":"main_file","content_type":"application/pdf","checksum":"b398c4dbf65f71d417981d6e366427e9","file_size":419563,"file_id":"11746"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"language":[{"iso":"eng"}],"date_created":"2022-08-05T11:36:56Z","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)","volume":189,"article_type":"original","month":"07","ddc":["530"],"type":"journal_article"},{"language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"RoSe"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"month":"02","type":"journal_article","volume":33,"article_type":"original","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).","date_created":"2022-03-18T08:11:34Z","publisher":"World Scientific Publishing","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"ec_funded":1,"scopus_import":"1","corr_author":"1","title":"The polaron at strong coupling","date_updated":"2025-04-14T07:26:58Z","day":"01","oa":1,"issue":"01","author":[{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_status":"published","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."}],"intvolume":"        33","fulldoi":"https://doi.org/10.1142/s0129055x20600120","oa_version":"Preprint","date_published":"2021-02-01T00:00:00Z","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"isi":1,"doi":"10.1142/s0129055x20600120","quality_controlled":"1","status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"10852","year":"2021","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"publication":"Reviews in Mathematical Physics","article_number":"2060012","citation":{"ama":"Seiringer R. The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>","apa":"Seiringer, R. (2021). The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>","ieee":"R. Seiringer, “The polaron at strong coupling,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>.","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021)."},"external_id":{"isi":["000613313200013"],"arxiv":["1912.12509"]},"article_processing_charge":"No"},{"quality_controlled":"1","doi":"10.2140/paa.2021.3.653","oa_version":"Preprint","fulldoi":"https://doi.org/10.2140/paa.2021.3.653","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"date_published":"2021-10-01T00:00:00Z","publication_status":"published","issue":"4","author":[{"full_name":"Leopold, Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","orcid":"0000-0002-0495-6822","first_name":"Nikolai K"},{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"},{"full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"abstract":[{"lang":"eng","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."}],"intvolume":"         3","citation":{"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. <i>Pure and Applied Analysis</i>. 2021;3(4):653-676. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","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.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>.","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,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>","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."},"article_processing_charge":"No","external_id":{"arxiv":["2005.02098"]},"publication":"Pure and Applied Analysis","year":"2021","_id":"14889","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","scopus_import":"1","publisher":"Mathematical Sciences Publishers","ec_funded":1,"publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"month":"10","type":"journal_article","page":"653-676","date_created":"2024-01-28T23:01:43Z","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.","volume":3,"article_type":"original","department":[{"_id":"RoSe"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"language":[{"iso":"eng"}],"arxiv":1,"oa":1,"day":"01","date_updated":"2025-04-14T07:27:00Z","title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron"},{"date_updated":"2025-04-14T07:44:02Z","title":"Beyond Bogoliubov dynamics","oa":1,"day":"01","month":"10","type":"journal_article","date_created":"2024-01-28T23:01:43Z","page":"677-726","article_type":"original","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.","volume":3,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"arxiv":1,"corr_author":"1","scopus_import":"1","publisher":"Mathematical Sciences Publishers","ec_funded":1,"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"year":"2021","_id":"14890","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","citation":{"ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. 2021;3(4):677-726. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","apa":"Bossmann, L., Petrat, S. P., Pickl, P., &#38; Soffer, A. (2021). Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726.","short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>.","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>."},"article_processing_charge":"No","external_id":{"arxiv":["1912.11004"]},"publication":"Pure and Applied Analysis","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"fulldoi":"https://doi.org/10.2140/paa.2021.3.677","oa_version":"Preprint","date_published":"2021-10-01T00:00:00Z","author":[{"last_name":"Bossmann","full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","orcid":"0000-0002-6854-1343"},{"first_name":"Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","full_name":"Petrat, Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"},{"full_name":"Soffer, Avy","last_name":"Soffer","first_name":"Avy"}],"publication_status":"published","issue":"4","abstract":[{"lang":"eng","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."}],"intvolume":"         3","quality_controlled":"1","doi":"10.2140/paa.2021.3.677"},{"oa":1,"related_material":{"record":[{"id":"9787","relation":"earlier_version","status":"public"}]},"day":"25","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-14T09:11:09Z","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","has_accepted_license":"1","scopus_import":"1","file_date_updated":"2021-12-14T08:35:42Z","ec_funded":1,"publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"publisher":"Springer Nature","date_created":"2021-11-07T23:01:26Z","page":"1835–1906","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).","volume":242,"article_type":"original","month":"10","ddc":["530"],"type":"journal_article","file":[{"relation":"main_file","content_type":"application/pdf","checksum":"672e9c21b20f1a50854b7c821edbb92f","file_id":"10544","file_size":990529,"access_level":"open_access","date_created":"2021-12-14T08:35:42Z","date_updated":"2021-12-14T08:35:42Z","success":1,"creator":"alisjak","file_name":"2021_Springer_Feliciangeli.pdf"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"arxiv":1,"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000710850600001"],"arxiv":["2101.12566"]},"citation":{"ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>Archive for Rational Mechanics and Analysis</i>. 2021;242(3):1835–1906. doi:<a href=\"https://doi.org/10.1007/s00205-021-01715-7\">10.1007/s00205-021-01715-7</a>","apa":"Feliciangeli, D., &#38; Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01715-7\">https://doi.org/10.1007/s00205-021-01715-7</a>","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.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:<a href=\"https://doi.org/10.1007/s00205-021-01715-7\">10.1007/s00205-021-01715-7</a>.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01715-7\">https://doi.org/10.1007/s00205-021-01715-7</a>.","short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906."},"publication":"Archive for Rational Mechanics and Analysis","year":"2021","_id":"10224","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","quality_controlled":"1","doi":"10.1007/s00205-021-01715-7","fulldoi":"https://doi.org/10.1007/s00205-021-01715-7","date_published":"2021-10-25T00:00:00Z","oa_version":"Published Version","isi":1,"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"abstract":[{"lang":"eng","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."}],"intvolume":"       242","author":[{"first_name":"Dario","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"publication_status":"published","issue":"3"},{"title":"Emergence of anyons on the two-sphere in molecular impurities","date_updated":"2024-10-09T21:01:20Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"02","oa":1,"arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"file":[{"content_type":"application/pdf","relation":"main_file","file_id":"10592","file_size":303070,"checksum":"d0e44b95f36c9e06724f66832af0f8c3","success":1,"date_updated":"2022-01-03T10:15:05Z","access_level":"open_access","date_created":"2022-01-03T10:15:05Z","file_name":"2021_Atoms_Brooks.pdf","creator":"alisjak"}],"month":"12","type":"journal_article","ddc":["530"],"article_type":"original","volume":9,"acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804).","date_created":"2022-01-02T23:01:33Z","publisher":"MDPI","publication_identifier":{"eissn":["2218-2004"]},"file_date_updated":"2022-01-03T10:15:05Z","scopus_import":"1","corr_author":"1","has_accepted_license":"1","status":"public","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"10585","year":"2021","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"publication":"Atoms","article_number":"106","citation":{"ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” <i>Atoms</i>, vol. 9, no. 4. MDPI, 2021.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. <i>Atoms</i>. MDPI. <a href=\"https://doi.org/10.3390/atoms9040106\">https://doi.org/10.3390/atoms9040106</a>","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).","chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” <i>Atoms</i>. MDPI, 2021. <a href=\"https://doi.org/10.3390/atoms9040106\">https://doi.org/10.3390/atoms9040106</a>.","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” <i>Atoms</i>, vol. 9, no. 4, 106, MDPI, 2021, doi:<a href=\"https://doi.org/10.3390/atoms9040106\">10.3390/atoms9040106</a>.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. <i>Atoms</i>. 2021;9(4). doi:<a href=\"https://doi.org/10.3390/atoms9040106\">10.3390/atoms9040106</a>"},"external_id":{"arxiv":["2108.06966"]},"article_processing_charge":"Yes","publication_status":"published","author":[{"last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","first_name":"Morris","orcid":"0000-0002-6249-0928"},{"full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","first_name":"Mikhail"},{"first_name":"Douglas","last_name":"Lundholm","full_name":"Lundholm, Douglas"},{"full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","first_name":"Enderalp"}],"issue":"4","intvolume":"         9","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"}],"oa_version":"Published Version","fulldoi":"https://doi.org/10.3390/atoms9040106","date_published":"2021-12-02T00:00:00Z","doi":"10.3390/atoms9040106","quality_controlled":"1"},{"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7685","year":"2021","publication":"Reviews in Mathematical Physics","article_number":"2060006","citation":{"ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>.","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060006, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>."},"external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"article_processing_charge":"No","author":[{"full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","first_name":"Chiara"}],"publication_status":"published","issue":"1","abstract":[{"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.","lang":"eng"}],"intvolume":"        33","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"fulldoi":"https://doi.org/10.1142/S0129055X20600065","isi":1,"oa_version":"Preprint","date_published":"2021-01-01T00:00:00Z","doi":"10.1142/S0129055X20600065","quality_controlled":"1","title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","date_updated":"2025-05-14T10:49:57Z","day":"01","oa":1,"arxiv":1,"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"main_file_link":[{"url":"https://arxiv.org/abs/2001.00497","open_access":"1"}],"type":"journal_article","month":"01","volume":33,"article_type":"original","date_created":"2020-04-26T22:00:45Z","publisher":"World Scientific Publishing","publication_identifier":{"issn":["0129-055X"]},"ec_funded":1,"scopus_import":"1"},{"_id":"7900","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2021","article_number":"2060009","publication":"Reviews in Mathematical Physics","article_processing_charge":"No","external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"citation":{"ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>.","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021.","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009."},"abstract":[{"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.","lang":"eng"}],"intvolume":"        33","publication_status":"published","author":[{"first_name":"Niels P","orcid":"0000-0002-1071-6091","last_name":"Benedikter","full_name":"Benedikter, Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"}],"issue":"1","oa_version":"Preprint","fulldoi":"https://doi.org/10.1142/s0129055x20600090","date_published":"2021-01-01T00:00:00Z","isi":1,"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"quality_controlled":"1","doi":"10.1142/s0129055x20600090","title":"Bosonic collective excitations in Fermi gases","date_updated":"2025-05-14T10:49:46Z","day":"01","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"department":[{"_id":"RoSe"}],"arxiv":1,"language":[{"iso":"eng"}],"date_created":"2020-05-28T16:47:55Z","article_type":"original","volume":33,"type":"journal_article","month":"01","ec_funded":1,"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"publisher":"World Scientific Publishing","scopus_import":"1"},{"publication":"Inventiones Mathematicae","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2005.08933"],"isi":["000646573600001"]},"citation":{"ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>.","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,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","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.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>"},"_id":"7901","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","year":"2021","quality_controlled":"1","doi":"10.1007/s00222-021-01041-5","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"}],"intvolume":"       225","publication_status":"published","author":[{"first_name":"Niels P","orcid":"0000-0002-1071-6091","last_name":"Benedikter","full_name":"Benedikter, Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","last_name":"Porta","first_name":"Marcello"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"oa_version":"Published Version","fulldoi":"https://doi.org/10.1007/s00222-021-01041-5","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"isi":1,"date_published":"2021-05-03T00:00:00Z","day":"03","oa":1,"title":"Correlation energy of a weakly interacting Fermi gas","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-14T07:27:00Z","ec_funded":1,"publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"publisher":"Springer","has_accepted_license":"1","scopus_import":"1","file_date_updated":"2022-05-16T12:23:40Z","file":[{"relation":"main_file","content_type":"application/pdf","checksum":"f38c79dfd828cdc7f49a34b37b83d376","file_id":"11386","file_size":1089319,"access_level":"open_access","date_created":"2022-05-16T12:23:40Z","success":1,"date_updated":"2022-05-16T12:23:40Z","creator":"dernst","file_name":"2021_InventMath_Benedikter.pdf"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"arxiv":1,"date_created":"2020-05-28T16:48:20Z","page":"885-979","volume":225,"article_type":"original","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.","ddc":["510"],"month":"05","type":"journal_article"},{"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"}],"author":[{"full_name":"Frank, Rupert","last_name":"Frank","first_name":"Rupert"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"publication_status":"published","issue":"3","fulldoi":"https://doi.org/10.1002/cpa.21944","date_published":"2021-03-01T00:00:00Z","oa_version":"Published Version","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"isi":1,"doi":"10.1002/cpa.21944","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","_id":"8603","year":"2021","publication":"Communications on Pure and Applied Mathematics","external_id":{"isi":["000572991500001"]},"article_processing_charge":"No","citation":{"chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2021. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>.","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","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.","apa":"Frank, R., &#38; Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. 2021;74(3):544-588. doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>"},"file":[{"date_created":"2021-03-11T10:03:30Z","access_level":"open_access","success":1,"date_updated":"2021-03-11T10:03:30Z","creator":"dernst","file_name":"2021_CommPureApplMath_Frank.pdf","relation":"main_file","content_type":"application/pdf","checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","file_id":"9236","file_size":334987}],"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"article_type":"original","volume":74,"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","date_created":"2020-10-04T22:01:37Z","ddc":["510"],"month":"03","type":"journal_article","publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"ec_funded":1,"publisher":"Wiley","has_accepted_license":"1","file_date_updated":"2021-03-11T10:03:30Z","scopus_import":"1","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-07-10T11:57:12Z","day":"01","oa":1},{"year":"2021","status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"9005","citation":{"ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. 2021;126(1). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>","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.","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” <i>Physical Review Letters</i>, vol. 126, no. 1. American Physical Society, 2021.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>.","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>."},"external_id":{"isi":["000606325000003"],"pmid":["33480760"],"arxiv":["2009.05948"]},"article_processing_charge":"No","publication":"Physical Review Letters","article_number":"015301","oa_version":"Preprint","fulldoi":"https://doi.org/10.1103/PhysRevLett.126.015301","project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770"}],"isi":1,"date_published":"2021-01-08T00:00:00Z","issue":"1","publication_status":"published","author":[{"full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks","orcid":"0000-0002-6249-0928","first_name":"Morris"},{"orcid":"0000-0002-6990-7802","first_name":"Mikhail","full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"},{"last_name":"Lundholm","full_name":"Lundholm, D.","first_name":"D."},{"orcid":"0000-0001-5973-0874","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu"}],"abstract":[{"lang":"eng","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."}],"intvolume":"       126","doi":"10.1103/PhysRevLett.126.015301","quality_controlled":"1","date_updated":"2026-04-16T08:20:53Z","title":"Molecular impurities as a realization of anyons on the two-sphere","oa":1,"day":"08","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"12390"}],"link":[{"description":"News on IST Homepage","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/","relation":"press_release"}]},"type":"journal_article","month":"01","volume":126,"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).","article_type":"original","pmid":1,"date_created":"2021-01-17T23:01:10Z","language":[{"iso":"eng"}],"arxiv":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"main_file_link":[{"url":"https://arxiv.org/abs/2009.05948","open_access":"1"}],"scopus_import":"1","publisher":"American Physical Society","publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]},"ec_funded":1}]