[{"volume":9,"scopus_import":"1","type":"journal_article","quality_controlled":"1","has_accepted_license":"1","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"publication_status":"published","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","day":"26","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","publication":"Forum of Mathematics, Sigma","ddc":["510"],"ec_funded":1,"file":[{"success":1,"creator":"dernst","access_level":"open_access","content_type":"application/pdf","file_name":"2021_ForumMath_Bossmann.pdf","date_updated":"2021-04-12T07:15:58Z","checksum":"17a3e6786d1e930cf0c14a880a6d7e92","date_created":"2021-04-12T07:15:58Z","file_size":883851,"relation":"main_file","file_id":"9319"}],"license":"https://creativecommons.org/licenses/by/4.0/","department":[{"_id":"RoSe"}],"file_date_updated":"2021-04-12T07:15:58Z","doi":"10.1017/fms.2021.22","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"e28","intvolume":"         9","external_id":{"isi":["000634006900001"]},"publication_identifier":{"eissn":["2050-5094"]},"status":"public","language":[{"iso":"eng"}],"article_type":"original","isi":1,"year":"2021","month":"03","publisher":"Cambridge University Press","oa_version":"Published Version","author":[{"orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"date_created":"2021-04-11T22:01:15Z","date_updated":"2026-04-02T14:02:29Z","oa":1,"date_published":"2021-03-26T00:00:00Z","_id":"9318","article_processing_charge":"Yes (via OA deal)","citation":{"ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","apa":"Bossmann, L., Petrat, S. P., &#38; Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.22\">https://doi.org/10.1017/fms.2021.22</a>","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2021. <a href=\"https://doi.org/10.1017/fms.2021.22\">https://doi.org/10.1017/fms.2021.22</a>.","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. <i>Forum of Mathematics, Sigma</i>. 2021;9. doi:<a href=\"https://doi.org/10.1017/fms.2021.22\">10.1017/fms.2021.22</a>","ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” <i>Forum of Mathematics, Sigma</i>, vol. 9. Cambridge University Press, 2021.","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” <i>Forum of Mathematics, Sigma</i>, vol. 9, e28, Cambridge University Press, 2021, doi:<a href=\"https://doi.org/10.1017/fms.2021.22\">10.1017/fms.2021.22</a>."}},{"abstract":[{"lang":"eng","text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature."}],"has_accepted_license":"1","quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":111,"doi":"10.1007/s11005-021-01375-4","file_date_updated":"2021-03-22T11:01:09Z","pmid":1,"department":[{"_id":"RoSe"}],"file":[{"checksum":"687fef1525789c0950de90468dd81604","date_updated":"2021-03-22T11:01:09Z","date_created":"2021-03-22T11:01:09Z","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","content_type":"application/pdf","access_level":"open_access","creator":"dernst","success":1,"file_id":"9273","relation":"main_file","file_size":397962}],"publication":"Letters in Mathematical Physics","ddc":["510"],"title":"Free energy asymptotics of the quantum Heisenberg spin chain","day":"09","acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"external_id":{"isi":["000626837400001"],"pmid":["33785980"]},"issue":"2","intvolume":"       111","article_number":"31","article_processing_charge":"Yes (via OA deal)","citation":{"chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01375-4\">https://doi.org/10.1007/s11005-021-01375-4</a>.","apa":"Napiórkowski, M. M., &#38; Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01375-4\">https://doi.org/10.1007/s11005-021-01375-4</a>","mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>, vol. 111, no. 2, 31, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01375-4\">10.1007/s11005-021-01375-4</a>.","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” <i>Letters in Mathematical Physics</i>, vol. 111, no. 2. Springer Nature, 2021.","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. 2021;111(2). doi:<a href=\"https://doi.org/10.1007/s11005-021-01375-4\">10.1007/s11005-021-01375-4</a>","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021)."},"_id":"9256","date_published":"2021-03-09T00:00:00Z","oa":1,"date_updated":"2026-04-02T14:06:48Z","date_created":"2021-03-21T23:01:19Z","author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"oa_version":"Published Version","publisher":"Springer Nature","month":"03","year":"2021","isi":1,"article_type":"original"},{"alternative_title":["ISTA Thesis"],"project":[{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"related_material":{"record":[{"id":"9787","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","id":"9792","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"9791"},{"id":"9781","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"9225"}]},"page":"180","status":"public","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"author":[{"first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario"}],"oa_version":"Published Version","month":"08","publisher":"Institute of Science and Technology Austria","year":"2021","citation":{"ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria.","short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","apa":"Feliciangeli, D. (2021). <i>The polaron at strong coupling</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","mla":"Feliciangeli, Dario. <i>The Polaron at Strong Coupling</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>."},"article_processing_charge":"No","date_published":"2021-08-20T00:00:00Z","_id":"9733","date_updated":"2026-04-08T06:59:50Z","date_created":"2021-07-27T15:48:30Z","oa":1,"supervisor":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"},{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","last_name":"Maas","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338"}],"degree_awarded":"PhD","type":"dissertation","has_accepted_license":"1","corr_author":"1","abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"title":"The polaron at strong coupling","ddc":["515","519","539"],"day":"20","publication_status":"published","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"doi":"10.15479/at:ista:9733","file_date_updated":"2022-03-10T12:13:57Z","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"OA_place":"publisher","file":[{"file_size":1958710,"relation":"main_file","file_id":"9944","creator":"dfelicia","access_level":"open_access","checksum":"e88bb8ca43948abe060eb2d2fa719881","content_type":"application/pdf","date_updated":"2021-09-06T09:28:56Z","date_created":"2021-08-19T14:03:48Z","file_name":"Thesis_FeliciangeliA.pdf"},{"creator":"dfelicia","date_created":"2021-08-19T14:06:35Z","file_name":"thesis.7z","content_type":"application/octet-stream","date_updated":"2022-03-10T12:13:57Z","checksum":"72810843abee83705853505b3f8348aa","access_level":"closed","file_size":3771669,"file_id":"9945","relation":"source_file"}],"ec_funded":1,"license":"https://creativecommons.org/licenses/by-nd/4.0/"},{"related_material":{"record":[{"status":"public","id":"9733","relation":"dissertation_contains"}]},"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"intvolume":"       111","article_number":"19","external_id":{"isi":["000617195700001"]},"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"status":"public","year":"2021","isi":1,"article_type":"original","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530"},{"last_name":"Rademacher","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"publisher":"Springer Nature","oa_version":"Published Version","month":"02","oa":1,"date_created":"2021-03-07T23:01:25Z","date_updated":"2026-04-08T06:59:49Z","article_processing_charge":"Yes (via OA deal)","citation":{"short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>, vol. 111, 19, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>.","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>"},"_id":"9225","date_published":"2021-02-11T00:00:00Z","quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":111,"abstract":[{"text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times.","lang":"eng"}],"has_accepted_license":"1","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","day":"11","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","ddc":["510"],"publication":"Letters in Mathematical Physics","title":"Persistence of the spectral gap for the Landau–Pekar equations","department":[{"_id":"RoSe"}],"ec_funded":1,"file":[{"file_id":"9232","relation":"main_file","file_size":391205,"date_created":"2021-03-09T11:44:34Z","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","content_type":"application/pdf","date_updated":"2021-03-09T11:44:34Z","checksum":"ffbfe1aad623bce7ff529c207e343b53","access_level":"open_access","creator":"dernst","success":1}],"doi":"10.1007/s11005-020-01350-5","file_date_updated":"2021-03-09T11:44:34Z"},{"language":[{"iso":"eng"}],"status":"public","external_id":{"arxiv":["2106.11217"]},"arxiv":1,"article_number":"2106.11217","related_material":{"record":[{"status":"public","id":"12911","relation":"later_version"},{"status":"public","id":"9733","relation":"dissertation_contains"},{"relation":"dissertation_contains","id":"10030","status":"public"}]},"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"article_processing_charge":"No","citation":{"short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).","ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217.","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2106.11217\">10.48550/arXiv.2106.11217</a>","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” <i>arXiv</i>. .","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>ArXiv</i>, 2106.11217, doi:<a href=\"https://doi.org/10.48550/arXiv.2106.11217\">10.48550/arXiv.2106.11217</a>.","apa":"Feliciangeli, D., Gerolin, A., &#38; Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2106.11217\">https://doi.org/10.48550/arXiv.2106.11217</a>","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2106.11217\">https://doi.org/10.48550/arXiv.2106.11217</a>."},"_id":"9792","date_published":"2021-07-21T00:00:00Z","oa":1,"date_updated":"2026-04-08T07:00:03Z","date_created":"2021-08-06T09:07:12Z","author":[{"orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Augusto","last_name":"Gerolin","full_name":"Gerolin, Augusto"},{"last_name":"Portinale","first_name":"Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","full_name":"Portinale, Lorenzo"}],"month":"07","oa_version":"Preprint","year":"2021","abstract":[{"lang":"eng","text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem."}],"has_accepted_license":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2106.11217","open_access":"1"}],"type":"preprint","doi":"10.48550/arXiv.2106.11217","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"ec_funded":1,"ddc":["510"],"publication":"arXiv","title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","day":"21","acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article.  L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"draft"},{"_id":"9787","date_published":"2021-02-01T00:00:00Z","citation":{"ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","apa":"Feliciangeli, D., &#38; Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2101.12566\">https://doi.org/10.48550/arXiv.2101.12566</a>","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2101.12566\">https://doi.org/10.48550/arXiv.2101.12566</a>.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2101.12566\">10.48550/arXiv.2101.12566</a>","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>arXiv</i>. .","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, 2101.12566, doi:<a href=\"https://doi.org/10.48550/arXiv.2101.12566\">10.48550/arXiv.2101.12566</a>."},"article_processing_charge":"No","oa":1,"date_updated":"2026-04-08T06:59:49Z","date_created":"2021-08-06T08:25:57Z","oa_version":"Preprint","month":"02","author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","last_name":"Feliciangeli"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"year":"2021","language":[{"iso":"eng"}],"status":"public","external_id":{"arxiv":["2101.12566"]},"article_number":"2101.12566","arxiv":1,"related_material":{"record":[{"relation":"later_version","id":"10224","status":"public"},{"status":"public","relation":"dissertation_contains","id":"9733"}]},"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"doi":"10.48550/arXiv.2101.12566","ec_funded":1,"department":[{"_id":"RoSe"}],"publication":"arXiv","ddc":["510"],"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"draft","day":"01","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2101.12566"}],"abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"corr_author":"1","has_accepted_license":"1","type":"preprint"},{"external_id":{"arxiv":["2107.03720"]},"status":"public","language":[{"iso":"eng"}],"project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"related_material":{"record":[{"relation":"later_version","id":"10755","status":"public"},{"status":"public","relation":"dissertation_contains","id":"9733"}]},"article_number":"2107.03720 ","arxiv":1,"date_updated":"2026-04-08T06:59:49Z","date_created":"2021-08-06T08:49:45Z","oa":1,"citation":{"short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, 2107.03720, doi:<a href=\"https://doi.org/10.48550/arXiv.2107.03720\">10.48550/arXiv.2107.03720</a>.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>arXiv</i>. .","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2107.03720\">10.48550/arXiv.2107.03720</a>","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2107.03720\">https://doi.org/10.48550/arXiv.2107.03720</a>.","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2107.03720\">https://doi.org/10.48550/arXiv.2107.03720</a>"},"article_processing_charge":"No","date_published":"2021-07-08T00:00:00Z","_id":"9791","year":"2021","author":[{"orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli"},{"last_name":"Rademacher","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"month":"07","oa_version":"Preprint","corr_author":"1","abstract":[{"text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar.","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"type":"preprint","OA_place":"repository","department":[{"_id":"RoSe"}],"ec_funded":1,"doi":"10.48550/arXiv.2107.03720","day":"08","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","publication_status":"draft","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"The effective mass problem for the Landau-Pekar equations","ddc":["510"],"publication":"arXiv"},{"day":"08","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).","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","title":"Molecular impurities as a realization of anyons on the two-sphere","publication":"Physical Review Letters","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"ec_funded":1,"doi":"10.1103/PhysRevLett.126.015301","pmid":1,"type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":126,"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."}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.05948"}],"isi":1,"year":"2021","article_type":"original","author":[{"orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","first_name":"Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks"},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"},{"full_name":"Lundholm, D.","first_name":"D.","last_name":"Lundholm"},{"last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874"}],"publisher":"American Physical Society","oa_version":"Preprint","month":"01","oa":1,"date_created":"2021-01-17T23:01:10Z","date_updated":"2026-04-16T08:20:53Z","article_processing_charge":"No","citation":{"short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","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.","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>","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.","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>.","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>","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>."},"_id":"9005","date_published":"2021-01-08T00:00:00Z","related_material":{"link":[{"description":"News on IST Homepage","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/","relation":"press_release"}],"record":[{"status":"public","relation":"dissertation_contains","id":"12390"}]},"project":[{"name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"intvolume":"       126","arxiv":1,"article_number":"015301","external_id":{"arxiv":["2009.05948"],"pmid":["33480760"],"isi":["000606325000003"]},"issue":"1","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]}},{"volume":2,"type":"journal_article","quality_controlled":"1","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1903.04046"}],"abstract":[{"text":"We give the first mathematically rigorous justification of the local density approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy–Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the uniform electron gas energy of this density. The error involves gradient terms and justifies the use of the local density approximation in the situation where the density is very flat on sufficiently large regions in space.","lang":"eng"}],"corr_author":"1","publication":"Pure and Applied Analysis","title":" The local density approximation in density functional theory","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","day":"01","doi":"10.2140/paa.2020.2.35","department":[{"_id":"RoSe"}],"arxiv":1,"intvolume":"         2","page":"35-73","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"external_id":{"arxiv":["1903.04046"]},"issue":"1","oa_version":"Preprint","month":"01","publisher":"Mathematical Sciences Publishers","author":[{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"last_name":"Lieb","first_name":"Elliott H.","full_name":"Lieb, Elliott H."},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"article_type":"original","year":"2020","_id":"14891","date_published":"2020-01-01T00:00:00Z","article_processing_charge":"No","citation":{"ista":"Lewin M, Lieb EH, Seiringer R. 2020.  The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2020. <a href=\"https://doi.org/10.2140/paa.2020.2.35\">https://doi.org/10.2140/paa.2020.2.35</a>.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2020).  The local density approximation in density functional theory. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2020.2.35\">https://doi.org/10.2140/paa.2020.2.35</a>","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation in density functional theory,” <i>Pure and Applied Analysis</i>, vol. 2, no. 1. Mathematical Sciences Publishers, pp. 35–73, 2020.","mla":"Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” <i>Pure and Applied Analysis</i>, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:<a href=\"https://doi.org/10.2140/paa.2020.2.35\">10.2140/paa.2020.2.35</a>.","ama":"Lewin M, Lieb EH, Seiringer R.  The local density approximation in density functional theory. <i>Pure and Applied Analysis</i>. 2020;2(1):35-73. doi:<a href=\"https://doi.org/10.2140/paa.2020.2.35\">10.2140/paa.2020.2.35</a>"},"oa":1,"date_updated":"2024-10-09T21:08:02Z","date_created":"2024-01-28T23:01:44Z"},{"title":"Many-body quantum systems","author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"},{"full_name":"Warzel, Simone","last_name":"Warzel","first_name":"Simone"}],"publication":"Oberwolfach Reports","publisher":"European Mathematical Society","month":"09","oa_version":"None","year":"2020","day":"10","publication_status":"published","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","doi":"10.4171/owr/2019/41","citation":{"apa":"Hainzl, C., Schlein, B., Seiringer, R., &#38; Warzel, S. (2020). Many-body quantum systems. <i>Oberwolfach Reports</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/owr/2019/41\">https://doi.org/10.4171/owr/2019/41</a>","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>. European Mathematical Society, 2020. <a href=\"https://doi.org/10.4171/owr/2019/41\">https://doi.org/10.4171/owr/2019/41</a>.","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. <i>Oberwolfach Reports</i>. 2020;16(3):2541-2603. doi:<a href=\"https://doi.org/10.4171/owr/2019/41\">10.4171/owr/2019/41</a>","ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” <i>Oberwolfach Reports</i>, vol. 16, no. 3. European Mathematical Society, pp. 2541–2603, 2020.","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:<a href=\"https://doi.org/10.4171/owr/2019/41\">10.4171/owr/2019/41</a>.","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603."},"date_published":"2020-09-10T00:00:00Z","_id":"15072","department":[{"_id":"RoSe"}],"date_updated":"2024-03-12T12:02:00Z","date_created":"2024-03-04T11:46:12Z","intvolume":"        16","type":"journal_article","quality_controlled":"1","volume":16,"page":"2541-2603","abstract":[{"text":"The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions.","lang":"eng"}],"status":"public","publication_identifier":{"issn":["1660-8933"]},"language":[{"iso":"eng"}],"issue":"3"},{"volume":22,"scopus_import":"1","quality_controlled":"1","type":"journal_article","main_file_link":[{"url":"https://arxiv.org/abs/1704.04819","open_access":"1"}],"abstract":[{"text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.","lang":"eng"}],"publication":"Journal of the European Mathematical Society","title":"The excitation spectrum of Bose gases interacting through singular potentials","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"01","doi":"10.4171/JEMS/966","department":[{"_id":"RoSe"}],"arxiv":1,"intvolume":"        22","page":"2331-2403","publication_identifier":{"issn":["1435-9855"]},"status":"public","language":[{"iso":"eng"}],"issue":"7","external_id":{"arxiv":["1704.04819"],"isi":["000548174700006"]},"oa_version":"Preprint","month":"07","publisher":"European Mathematical Society","author":[{"full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","last_name":"Boccato"},{"first_name":"Christian","last_name":"Brennecke","full_name":"Brennecke, Christian"},{"last_name":"Cenatiempo","first_name":"Serena","full_name":"Cenatiempo, Serena"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"}],"article_type":"original","isi":1,"year":"2020","date_published":"2020-07-01T00:00:00Z","_id":"8042","citation":{"short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” <i>Journal of the European Mathematical Society</i>, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” <i>Journal of the European Mathematical Society</i>, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:<a href=\"https://doi.org/10.4171/JEMS/966\">10.4171/JEMS/966</a>.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. <i>Journal of the European Mathematical Society</i>. 2020;22(7):2331-2403. doi:<a href=\"https://doi.org/10.4171/JEMS/966\">10.4171/JEMS/966</a>","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2020. <a href=\"https://doi.org/10.4171/JEMS/966\">https://doi.org/10.4171/JEMS/966</a>.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/966\">https://doi.org/10.4171/JEMS/966</a>"},"article_processing_charge":"No","date_created":"2020-06-29T07:59:35Z","date_updated":"2025-07-10T11:55:02Z","oa":1},{"intvolume":"       181","arxiv":1,"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"page":"448-464","status":"public","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2001.07144"],"isi":["000543030000002"]},"author":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"month":"10","oa_version":"Published Version","publisher":"Springer","year":"2020","isi":1,"article_type":"original","article_processing_charge":"Yes (via OA deal)","citation":{"short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.","ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” <i>Journal of Statistical Physics</i>, vol. 181, Springer, 2020, pp. 448–64, doi:<a href=\"https://doi.org/10.1007/s10955-020-02586-0\">10.1007/s10955-020-02586-0</a>.","ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” <i>Journal of Statistical Physics</i>, vol. 181. Springer, pp. 448–464, 2020.","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. <i>Journal of Statistical Physics</i>. 2020;181:448-464. doi:<a href=\"https://doi.org/10.1007/s10955-020-02586-0\">10.1007/s10955-020-02586-0</a>","chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” <i>Journal of Statistical Physics</i>. Springer, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02586-0\">https://doi.org/10.1007/s10955-020-02586-0</a>.","apa":"Seiringer, R., &#38; Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-020-02586-0\">https://doi.org/10.1007/s10955-020-02586-0</a>"},"date_published":"2020-10-01T00:00:00Z","_id":"8091","date_created":"2020-07-05T22:00:46Z","date_updated":"2025-07-10T11:55:04Z","oa":1,"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":181,"corr_author":"1","has_accepted_license":"1","abstract":[{"text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level.","lang":"eng"}],"title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","ddc":["530"],"publication":"Journal of Statistical Physics","day":"01","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"doi":"10.1007/s10955-020-02586-0","file_date_updated":"2020-11-25T15:05:04Z","department":[{"_id":"RoSe"}],"file":[{"file_size":404778,"file_id":"8812","relation":"main_file","success":1,"creator":"dernst","file_name":"2020_JourStatPhysics_Seiringer.pdf","date_created":"2020-11-25T15:05:04Z","checksum":"5cbeef52caf18d0d952f17fed7b5545a","date_updated":"2020-11-25T15:05:04Z","content_type":"application/pdf","access_level":"open_access"}],"ec_funded":1},{"publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"status":"public","language":[{"iso":"eng"}],"issue":"11","external_id":{"isi":["000550164400001"],"arxiv":["1907.04547"]},"arxiv":1,"intvolume":"       238","project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"page":"541-606","date_published":"2020-11-01T00:00:00Z","_id":"8130","citation":{"ista":"Bossmann L. 2020. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 238(11), 541–606.","short":"L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.","chicago":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00205-020-01548-w\">https://doi.org/10.1007/s00205-020-01548-w</a>.","apa":"Bossmann, L. (2020). Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-020-01548-w\">https://doi.org/10.1007/s00205-020-01548-w</a>","ieee":"L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 238, no. 11. Springer Nature, pp. 541–606, 2020.","mla":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 238, no. 11, Springer Nature, 2020, pp. 541–606, doi:<a href=\"https://doi.org/10.1007/s00205-020-01548-w\">10.1007/s00205-020-01548-w</a>.","ama":"Bossmann L. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. <i>Archive for Rational Mechanics and Analysis</i>. 2020;238(11):541-606. doi:<a href=\"https://doi.org/10.1007/s00205-020-01548-w\">10.1007/s00205-020-01548-w</a>"},"article_processing_charge":"Yes (via OA deal)","date_created":"2020-07-18T15:06:35Z","date_updated":"2025-04-14T07:44:05Z","oa":1,"oa_version":"Published Version","publisher":"Springer Nature","month":"11","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea"}],"article_type":"original","year":"2020","isi":1,"has_accepted_license":"1","corr_author":"1","abstract":[{"text":"We study the dynamics of a system of N interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to an interval of length of order ε. The interaction is non-negative and scaled in such a way that its scattering length is of order ε/N, while its range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein condensation. We prove that condensation is preserved by the N-body dynamics, where the time-evolved condensate wave function is the solution of a two-dimensional non-linear equation. The strength of the non-linearity depends on the scaling parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the scattering length of the interaction. In both cases, the coupling parameter depends on the confining potential.","lang":"eng"}],"volume":238,"scopus_import":"1","quality_controlled":"1","type":"journal_article","file_date_updated":"2020-12-02T08:50:38Z","doi":"10.1007/s00205-020-01548-w","file":[{"creator":"dernst","success":1,"file_name":"2020_ArchiveRatMech_Bossmann.pdf","date_updated":"2020-12-02T08:50:38Z","checksum":"cc67a79a67bef441625fcb1cd031db3d","content_type":"application/pdf","date_created":"2020-12-02T08:50:38Z","access_level":"open_access","file_size":942343,"file_id":"8826","relation":"main_file"}],"ec_funded":1,"department":[{"_id":"RoSe"}],"title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons","publication":"Archive for Rational Mechanics and Analysis","ddc":["510"],"publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"01","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). I thank Stefan Teufel for helpful remarks and for his involvement in the closely related joint project [10]. Helpful discussions with Serena Cenatiempo and Nikolai Leopold are gratefully acknowledged. This work was supported by the German Research Foundation within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems” and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."},{"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-2488"]},"status":"public","external_id":{"isi":["000544595100001"],"arxiv":["2002.08281"]},"issue":"6","intvolume":"        61","arxiv":1,"article_number":"061901","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"citation":{"apa":"Mayer, S., &#38; Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0005950\">https://doi.org/10.1063/5.0005950</a>","chicago":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2020. <a href=\"https://doi.org/10.1063/5.0005950\">https://doi.org/10.1063/5.0005950</a>.","ama":"Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. <i>Journal of Mathematical Physics</i>. 2020;61(6). doi:<a href=\"https://doi.org/10.1063/5.0005950\">10.1063/5.0005950</a>","mla":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” <i>Journal of Mathematical Physics</i>, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:<a href=\"https://doi.org/10.1063/5.0005950\">10.1063/5.0005950</a>.","ieee":"S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. II. Upper bound,” <i>Journal of Mathematical Physics</i>, vol. 61, no. 6. AIP Publishing, 2020.","ista":"Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.","short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020)."},"article_processing_charge":"No","_id":"8134","date_published":"2020-06-22T00:00:00Z","oa":1,"date_updated":"2025-07-10T11:55:05Z","date_created":"2020-07-19T22:00:59Z","author":[{"full_name":"Mayer, Simon","last_name":"Mayer","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"oa_version":"Preprint","month":"06","publisher":"AIP Publishing","isi":1,"year":"2020","article_type":"original","abstract":[{"lang":"eng","text":"We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion."}],"corr_author":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2002.08281"}],"type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":61,"doi":"10.1063/5.0005950","department":[{"_id":"RoSe"}],"ec_funded":1,"title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","publication":"Journal of Mathematical Physics","day":"22","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published"},{"doi":"10.1103/physrevb.102.144109","ec_funded":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"title":"Quantum impurity model for anyons","publication":"Physical Review B","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","acknowledgement":"We are grateful to M. Correggi, A. Deuchert, and P. Schmelcher for valuable discussions. We also thank the anonymous referees for helping to clarify a few important points in the experimental realization. A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement\r\nNo 754411. D.L. acknowledges financial support from the Goran Gustafsson Foundation (grant no. 1804) and LMU Munich. R.S., M.L., and N.R. gratefully acknowledge financial support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 694227, No 801770, and No 758620, respectively).","day":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.07890"}],"abstract":[{"lang":"eng","text":"One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have not yet been unambiguously detected in experiment. Here we introduce a simple quantum impurity model, where bosonic or fermionic impurities turn into anyons as a consequence of their interaction with the surrounding many-particle bath. A cloud of phonons dresses each impurity in such a way that it effectively attaches fluxes or vortices to it and thereby converts it into an Abelian anyon. The corresponding quantum impurity model, first, provides a different approach to the numerical solution of the many-anyon problem, along with a concrete perspective of anyons as emergent quasiparticles built from composite bosons or fermions. More importantly, the model paves the way toward realizing anyons using impurities in crystal lattices as well as ultracold gases. In particular, we consider two heavy electrons interacting with a two-dimensional lattice crystal in a magnetic field, and show that when the impurity-bath system is rotated at the cyclotron frequency, impurities behave as anyons as a consequence of the angular momentum exchange between the impurities and the bath. A possible experimental realization is proposed by identifying the statistics parameter in terms of the mean-square distance of the impurities and the magnetization of the impurity-bath system, both of which are accessible to experiment. Another proposed application is impurities immersed in a two-dimensional weakly interacting Bose gas."}],"volume":102,"scopus_import":"1","quality_controlled":"1","type":"journal_article","date_published":"2020-10-01T00:00:00Z","_id":"8769","article_processing_charge":"No","citation":{"ama":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. Quantum impurity model for anyons. <i>Physical Review B</i>. 2020;102(14). doi:<a href=\"https://doi.org/10.1103/physrevb.102.144109\">10.1103/physrevb.102.144109</a>","ieee":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, and R. Seiringer, “Quantum impurity model for anyons,” <i>Physical Review B</i>, vol. 102, no. 14. American Physical Society, 2020.","mla":"Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” <i>Physical Review B</i>, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/physrevb.102.144109\">10.1103/physrevb.102.144109</a>.","apa":"Yakaboylu, E., Ghazaryan, A., Lundholm, D., Rougerie, N., Lemeshko, M., &#38; Seiringer, R. (2020). Quantum impurity model for anyons. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.102.144109\">https://doi.org/10.1103/physrevb.102.144109</a>","chicago":"Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” <i>Physical Review B</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/physrevb.102.144109\">https://doi.org/10.1103/physrevb.102.144109</a>.","short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","ista":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. 2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109."},"date_created":"2020-11-18T07:34:17Z","date_updated":"2025-04-14T07:26:54Z","oa":1,"publisher":"American Physical Society","month":"10","oa_version":"Preprint","author":[{"orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu","first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Areg","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","last_name":"Ghazaryan","orcid":"0000-0001-9666-3543","full_name":"Ghazaryan, Areg"},{"last_name":"Lundholm","first_name":"D.","full_name":"Lundholm, D."},{"full_name":"Rougerie, N.","last_name":"Rougerie","first_name":"N."},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"article_type":"original","year":"2020","isi":1,"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"status":"public","language":[{"iso":"eng"}],"issue":"14","external_id":{"isi":["000582563300001"],"arxiv":["1912.07890"]},"article_number":"144109","arxiv":1,"intvolume":"       102","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"Angulon: physics and applications of a new quasiparticle","_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","call_identifier":"H2020"}]},{"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":376,"abstract":[{"lang":"eng","text":"We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential."}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1812.03086"}],"publication":"Communications in Mathematical Physics","title":"Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime","acknowledgement":"We would like to thank P. T. Nam and R. Seiringer for several useful discussions and\r\nfor suggesting us to use the localization techniques from [9]. C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges support from the NCCR SwissMAP and from the Swiss National Foundation of Science (Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties of Bose–Einstein condensates”.","day":"01","publication_status":"published","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","doi":"10.1007/s00220-019-03555-9","department":[{"_id":"RoSe"}],"ec_funded":1,"intvolume":"       376","arxiv":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"page":"1311-1395","status":"public","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"language":[{"iso":"eng"}],"external_id":{"isi":["000536053300012"],"arxiv":["1812.03086"]},"author":[{"full_name":"Boccato, Chiara","last_name":"Boccato","first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Brennecke, Christian","last_name":"Brennecke","first_name":"Christian"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"}],"publisher":"Springer","oa_version":"Preprint","month":"06","isi":1,"year":"2020","article_type":"original","citation":{"ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. <i>Communications in Mathematical Physics</i>. 2020;376:1311-1395. doi:<a href=\"https://doi.org/10.1007/s00220-019-03555-9\">10.1007/s00220-019-03555-9</a>","mla":"Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” <i>Communications in Mathematical Physics</i>, vol. 376, Springer, 2020, pp. 1311–95, doi:<a href=\"https://doi.org/10.1007/s00220-019-03555-9\">10.1007/s00220-019-03555-9</a>.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” <i>Communications in Mathematical Physics</i>, vol. 376. Springer, pp. 1311–1395, 2020.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2020). Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-019-03555-9\">https://doi.org/10.1007/s00220-019-03555-9</a>","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” <i>Communications in Mathematical Physics</i>. Springer, 2020. <a href=\"https://doi.org/10.1007/s00220-019-03555-9\">https://doi.org/10.1007/s00220-019-03555-9</a>.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics 376 (2020) 1311–1395.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 376, 1311–1395."},"article_processing_charge":"No","date_published":"2020-06-01T00:00:00Z","_id":"6906","date_created":"2019-09-24T17:30:59Z","date_updated":"2025-04-14T07:27:00Z","oa":1},{"intvolume":"       180","page":"23-33","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"status":"public","external_id":{"isi":["000556199700003"]},"oa_version":"Published Version","month":"09","publisher":"Springer Nature","author":[{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_type":"original","isi":1,"year":"2020","_id":"7235","date_published":"2020-09-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","citation":{"apa":"Lieb, E. H., &#38; Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-019-02322-3\">https://doi.org/10.1007/s10955-019-02322-3</a>","chicago":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-019-02322-3\">https://doi.org/10.1007/s10955-019-02322-3</a>.","ama":"Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. <i>Journal of Statistical Physics</i>. 2020;180:23-33. doi:<a href=\"https://doi.org/10.1007/s10955-019-02322-3\">10.1007/s10955-019-02322-3</a>","ieee":"E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” <i>Journal of Statistical Physics</i>, vol. 180. Springer Nature, pp. 23–33, 2020.","mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <i>Journal of Statistical Physics</i>, vol. 180, Springer Nature, 2020, pp. 23–33, doi:<a href=\"https://doi.org/10.1007/s10955-019-02322-3\">10.1007/s10955-019-02322-3</a>.","ista":"Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33."},"oa":1,"date_created":"2020-01-07T09:42:03Z","date_updated":"2025-04-14T07:27:01Z","volume":180,"type":"journal_article","quality_controlled":"1","scopus_import":"1","abstract":[{"lang":"eng","text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit."}],"has_accepted_license":"1","corr_author":"1","ddc":["510","530"],"title":"Divergence of the effective mass of a polaron in the strong coupling limit","publication":"Journal of Statistical Physics","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged.","day":"01","file_date_updated":"2020-11-19T11:13:55Z","doi":"10.1007/s10955-019-02322-3","file":[{"checksum":"1e67bee6728592f7bdcea2ad2d9366dc","content_type":"application/pdf","file_name":"2020_JourStatPhysics_Lieb.pdf","date_created":"2020-11-19T11:13:55Z","date_updated":"2020-11-19T11:13:55Z","access_level":"open_access","creator":"dernst","success":1,"file_id":"8774","relation":"main_file","file_size":279749}],"ec_funded":1,"department":[{"_id":"RoSe"}]},{"volume":178,"quality_controlled":"1","type":"journal_article","scopus_import":"1","abstract":[{"lang":"eng","text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution."}],"has_accepted_license":"1","corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","day":"21","title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","publication":"Journal of Statistical Physics","ddc":["510"],"ec_funded":1,"file":[{"success":1,"creator":"dernst","checksum":"643e230bf147e64d9cdb3f6cc573679d","date_updated":"2020-11-20T09:26:46Z","content_type":"application/pdf","date_created":"2020-11-20T09:26:46Z","file_name":"2020_JournStatPhysics_Bossmann.pdf","access_level":"open_access","file_size":576726,"file_id":"8780","relation":"main_file"}],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-20T09:26:46Z","doi":"10.1007/s10955-020-02500-8","page":"1362-1396","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"arxiv":1,"intvolume":"       178","external_id":{"arxiv":["1905.06164"],"isi":["000516342200001"]},"language":[{"iso":"eng"}],"status":"public","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"article_type":"original","isi":1,"year":"2020","month":"02","oa_version":"Published Version","publisher":"Springer Nature","author":[{"full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","last_name":"Bossmann"},{"full_name":"Pavlović, Nataša","first_name":"Nataša","last_name":"Pavlović"},{"full_name":"Pickl, Peter","first_name":"Peter","last_name":"Pickl"},{"full_name":"Soffer, Avy","last_name":"Soffer","first_name":"Avy"}],"oa":1,"date_updated":"2025-04-14T07:44:03Z","date_created":"2020-02-23T09:45:51Z","_id":"7508","date_published":"2020-02-21T00:00:00Z","citation":{"mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:<a href=\"https://doi.org/10.1007/s10955-020-02500-8\">10.1007/s10955-020-02500-8</a>.","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 178. Springer Nature, pp. 1362–1396, 2020.","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. <i>Journal of Statistical Physics</i>. 2020;178:1362-1396. doi:<a href=\"https://doi.org/10.1007/s10955-020-02500-8\">10.1007/s10955-020-02500-8</a>","chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02500-8\">https://doi.org/10.1007/s10955-020-02500-8</a>.","apa":"Bossmann, L., Pavlović, N., Pickl, P., &#38; Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-020-02500-8\">https://doi.org/10.1007/s10955-020-02500-8</a>","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396."},"article_processing_charge":"Yes (via OA deal)"},{"external_id":{"isi":["000551556000006"]},"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"status":"public","page":"2143-2174","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"intvolume":"       110","oa":1,"date_created":"2020-03-23T11:11:47Z","date_updated":"2025-04-14T07:44:03Z","citation":{"ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","apa":"Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01286-w\">https://doi.org/10.1007/s11005-020-01286-w</a>","chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s11005-020-01286-w\">https://doi.org/10.1007/s11005-020-01286-w</a>.","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. <i>Letters in Mathematical Physics</i>. 2020;110:2143-2174. doi:<a href=\"https://doi.org/10.1007/s11005-020-01286-w\">10.1007/s11005-020-01286-w</a>","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” <i>Letters in Mathematical Physics</i>, vol. 110. Springer Nature, pp. 2143–2174, 2020.","mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” <i>Letters in Mathematical Physics</i>, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:<a href=\"https://doi.org/10.1007/s11005-020-01286-w\">10.1007/s11005-020-01286-w</a>."},"article_processing_charge":"Yes (via OA deal)","_id":"7611","date_published":"2020-03-12T00:00:00Z","year":"2020","isi":1,"article_type":"original","author":[{"full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"}],"oa_version":"Published Version","publisher":"Springer Nature","month":"03","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem."}],"corr_author":"1","has_accepted_license":"1","quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":110,"department":[{"_id":"RoSe"}],"ec_funded":1,"file":[{"creator":"dernst","success":1,"date_created":"2020-11-20T12:04:26Z","file_name":"2020_LettersMathPhysics_Rademacher.pdf","checksum":"3bdd41f10ad947b67a45b98f507a7d4a","date_updated":"2020-11-20T12:04:26Z","content_type":"application/pdf","access_level":"open_access","file_size":478683,"file_id":"8784","relation":"main_file"}],"doi":"10.1007/s11005-020-01286-w","file_date_updated":"2020-11-20T12:04:26Z","acknowledgement":"Simone Rademacher acknowledges partial support from the NCCR SwissMAP. This project has received\r\nfunding from the European Union’s Horizon 2020 research and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R. would like to thank Benjamin Schlein for many fruitful discussions.","day":"12","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","publication":"Letters in Mathematical Physics","title":"Central limit theorem for Bose gases interacting through singular potentials","ddc":["510"]},{"doi":"10.1007/s00205-020-01489-4","file_date_updated":"2020-11-20T13:17:42Z","department":[{"_id":"RoSe"}],"file":[{"file_size":704633,"file_id":"8785","relation":"main_file","success":1,"creator":"dernst","checksum":"b645fb64bfe95bbc05b3eea374109a9c","file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","date_updated":"2020-11-20T13:17:42Z","date_created":"2020-11-20T13:17:42Z","content_type":"application/pdf","access_level":"open_access"}],"ec_funded":1,"publication":"Archive for Rational Mechanics and Analysis","ddc":["510"],"title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","day":"09","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). It is a pleasure to thank Jakob Yngvason for helpful discussions. Financial support by the European Research Council (ERC) under the European Union’sHorizon 2020 research and innovation programme (Grant Agreement No. 694227) is gratefully acknowledged. A. D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 836146.","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","abstract":[{"text":"We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross–Pitaevskii limit, where the scattering length a is so small that the interaction energy is of the same order of magnitude as the spectral gap of the Laplacian, and for temperatures that are comparable to the critical temperature of the ideal gas. We show that the difference between the specific free energy of the interacting system and the one of the ideal gas is to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show that the one-particle density matrix of any approximate minimizer of the Gibbs free energy functional is to leading order given by the one of the ideal gas. This in particular proves Bose–Einstein condensation with critical temperature given by the one of the ideal gas to leading order. One key ingredient of our proof is a novel use of the Gibbs variational principle that goes hand in hand with the c-number substitution.","lang":"eng"}],"corr_author":"1","has_accepted_license":"1","type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":236,"article_processing_charge":"Yes (via OA deal)","citation":{"apa":"Deuchert, A., &#38; Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-020-01489-4\">https://doi.org/10.1007/s00205-020-01489-4</a>","chicago":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00205-020-01489-4\">https://doi.org/10.1007/s00205-020-01489-4</a>.","ama":"Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. <i>Archive for Rational Mechanics and Analysis</i>. 2020;236(6):1217-1271. doi:<a href=\"https://doi.org/10.1007/s00205-020-01489-4\">10.1007/s00205-020-01489-4</a>","ieee":"A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 236, no. 6. Springer Nature, pp. 1217–1271, 2020.","mla":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:<a href=\"https://doi.org/10.1007/s00205-020-01489-4\">10.1007/s00205-020-01489-4</a>.","ista":"Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6), 1217–1271.","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271."},"_id":"7650","date_published":"2020-03-09T00:00:00Z","oa":1,"date_updated":"2025-04-14T07:27:00Z","date_created":"2020-04-08T15:18:03Z","author":[{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"month":"03","oa_version":"Published Version","publisher":"Springer Nature","year":"2020","isi":1,"article_type":"original","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"external_id":{"isi":["000519415000001"],"arxiv":["1901.11363"]},"issue":"6","intvolume":"       236","arxiv":1,"page":"1217-1271","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}]}]