[{"issue":"6","abstract":[{"text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions.","lang":"eng"}],"type":"journal_article","oa_version":"Preprint","intvolume":" 281","title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","status":"public","_id":"9462","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","day":"15","scopus_import":"1","date_published":"2021-09-15T00:00:00Z","article_type":"original","citation":{"mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 2021;281(6). doi:10.1016/j.jfa.2021.109096","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","apa":"Deuchert, A., & Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109096","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” Journal of Functional Analysis, vol. 281, no. 6. Elsevier, 2021."},"publication":"Journal of Functional Analysis","ec_funded":1,"article_number":"109096","volume":281,"date_created":"2021-06-06T22:01:28Z","date_updated":"2023-08-08T13:56:27Z","author":[{"full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publisher":"Elsevier","department":[{"_id":"RoSe"}],"publication_status":"published","year":"2021","acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"month":"09","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2021.109096","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"quality_controlled":"1","isi":1,"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.00992"}],"external_id":{"isi":["000656508600008"],"arxiv":["2009.00992"]}},{"month":"08","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","isi":1,"doi":"10.1063/5.0053494","language":[{"iso":"eng"}],"article_number":"083305","file_date_updated":"2021-10-27T12:57:06Z","license":"https://creativecommons.org/licenses/by/4.0/","year":"2021","acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes.","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"AIP Publishing","author":[{"first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard"}],"date_updated":"2023-08-11T10:29:48Z","date_created":"2021-08-12T07:08:36Z","volume":62,"scopus_import":"1","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"day":"01","article_processing_charge":"No","has_accepted_license":"1","publication":"Journal of Mathematical Physics","citation":{"short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).","mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:10.1063/5.0053494.","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021. https://doi.org/10.1063/5.0053494.","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494","ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305."},"article_type":"original","date_published":"2021-08-01T00:00:00Z","type":"journal_article","abstract":[{"text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations.","lang":"eng"}],"issue":"8","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9891","status":"public","ddc":["530"],"title":"Floating Wigner crystal and periodic jellium configurations","intvolume":" 62","file":[{"file_size":4352640,"content_type":"application/pdf","creator":"cziletti","file_name":"2021_JMathPhy_Lauritsen.pdf","access_level":"open_access","date_updated":"2021-10-27T12:57:06Z","date_created":"2021-10-27T12:57:06Z","checksum":"d035be2b894c4d50d90ac5ce252e27cd","success":1,"relation":"main_file","file_id":"10188"}],"oa_version":"Published Version"},{"file_date_updated":"2021-12-14T08:35:42Z","ec_funded":1,"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","year":"2021","date_updated":"2023-08-14T10:32:19Z","date_created":"2021-11-07T23:01:26Z","volume":242,"author":[{"full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"id":"9787","status":"public","relation":"earlier_version"}]},"month":"10","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"isi":1,"quality_controlled":"1","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"external_id":{"isi":["000710850600001"],"arxiv":["2101.12566"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00205-021-01715-7","type":"journal_article","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"}],"issue":"3","status":"public","ddc":["530"],"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","intvolume":" 242","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10224","oa_version":"Published Version","file":[{"creator":"alisjak","content_type":"application/pdf","file_size":990529,"file_name":"2021_Springer_Feliciangeli.pdf","access_level":"open_access","date_created":"2021-12-14T08:35:42Z","date_updated":"2021-12-14T08:35:42Z","success":1,"checksum":"672e9c21b20f1a50854b7c821edbb92f","file_id":"10544","relation":"main_file"}],"scopus_import":"1","day":"25","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","article_type":"original","page":"1835–1906","publication":"Archive for Rational Mechanics and Analysis","citation":{"chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:10.1007/s00205-021-01715-7.","short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.","ista":"Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” Archive for Rational Mechanics and Analysis, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.","apa":"Feliciangeli, D., & Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01715-7","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7"},"date_published":"2021-10-25T00:00:00Z"},{"abstract":[{"lang":"eng","text":"We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations."}],"type":"journal_article","oa_version":"Preprint","title":"Bosonization of fermionic many-body dynamics","status":"public","_id":"10537","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","day":"02","article_processing_charge":"No","scopus_import":"1","date_published":"2021-12-02T00:00:00Z","article_type":"original","publication":"Annales Henri Poincaré","citation":{"mla":"Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” Annales Henri Poincaré. Springer Nature, 2021.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. Springer Nature. https://doi.org/10.1007/s00023-021-01136-y"},"ec_funded":1,"date_created":"2021-12-12T23:01:28Z","date_updated":"2023-08-17T06:19:14Z","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","first_name":"Niels P","last_name":"Benedikter","full_name":"Benedikter, Niels P"},{"full_name":"Nam, Phan Thành","last_name":"Nam","first_name":"Phan Thành"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","acknowledgement":"NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM). RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates,” and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the ERC-AdG CLaQS (Grant Agreement No. 834782).","year":"2021","month":"12","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01136-y","isi":1,"quality_controlled":"1","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2103.08224"}],"external_id":{"isi":["000725405700001"],"arxiv":["2103.08224"]},"oa":1},{"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"isi":1,"quality_controlled":"1","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"doi":"10.1007/s00222-021-01041-5","language":[{"iso":"eng"}],"month":"05","publication_identifier":{"issn":["0020-9910"],"eissn":["1432-1297"]},"year":"2021","acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","first_name":"Niels P","last_name":"Benedikter","full_name":"Benedikter, Niels P"},{"full_name":"Nam, Phan Thành","first_name":"Phan Thành","last_name":"Nam"},{"last_name":"Porta","first_name":"Marcello","full_name":"Porta, Marcello"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"date_created":"2020-05-28T16:48:20Z","date_updated":"2023-08-21T06:30:30Z","volume":225,"file_date_updated":"2022-05-16T12:23:40Z","ec_funded":1,"publication":"Inventiones Mathematicae","citation":{"ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-021-01041-5","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” Inventiones Mathematicae, vol. 225. Springer, pp. 885–979, 2021.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 2021;225:885-979. doi:10.1007/s00222-021-01041-5","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979, doi:10.1007/s00222-021-01041-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979."},"article_type":"original","page":"885-979","date_published":"2021-05-03T00:00:00Z","scopus_import":"1","day":"03","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7901","status":"public","title":"Correlation energy of a weakly interacting Fermi gas","ddc":["510"],"intvolume":" 225","oa_version":"Published Version","file":[{"date_created":"2022-05-16T12:23:40Z","date_updated":"2022-05-16T12:23:40Z","success":1,"checksum":"f38c79dfd828cdc7f49a34b37b83d376","file_id":"11386","relation":"main_file","creator":"dernst","content_type":"application/pdf","file_size":1089319,"file_name":"2021_InventMath_Benedikter.pdf","access_level":"open_access"}],"type":"journal_article","abstract":[{"lang":"eng","text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy."}]},{"year":"2021","publisher":"World Scientific","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","first_name":"Niels P","last_name":"Benedikter","full_name":"Benedikter, Niels P"}],"volume":33,"date_created":"2020-05-28T16:47:55Z","date_updated":"2023-09-05T16:07:40Z","article_number":"2060009","ec_funded":1,"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","isi":1,"doi":"10.1142/s0129055x20600090","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"month":"01","_id":"7900","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":" 33","title":"Bosonic collective excitations in Fermi gases","status":"public","oa_version":"Preprint","type":"journal_article","issue":"1","abstract":[{"lang":"eng","text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation."}],"citation":{"chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/s0129055x20600090.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:10.1142/s0129055x20600090.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/s0129055x20600090","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/s0129055x20600090"},"publication":"Reviews in Mathematical Physics","article_type":"original","date_published":"2021-01-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"01"},{"isi":1,"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"external_id":{"arxiv":["1912.12509"],"isi":["000613313200013"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"language":[{"iso":"eng"}],"doi":"10.1142/s0129055x20600120","month":"02","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"World Scientific Publishing","acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","year":"2021","date_created":"2022-03-18T08:11:34Z","date_updated":"2023-09-05T16:08:02Z","volume":33,"author":[{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"article_number":"2060012","ec_funded":1,"article_type":"original","publication":"Reviews in Mathematical Physics","citation":{"chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.","apa":"Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120","ieee":"R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical Physics, vol. 33, no. 01. World Scientific Publishing, 2021.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","ama":"Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics. 2021;33(01). doi:10.1142/s0129055x20600120"},"date_published":"2021-02-01T00:00:00Z","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","day":"01","article_processing_charge":"No","status":"public","title":"The polaron at strong coupling","intvolume":" 33","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"10852","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}],"issue":"01"},{"article_number":"19","file_date_updated":"2021-03-09T11:44:34Z","ec_funded":1,"year":"2021","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)","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"author":[{"first_name":"Dario","last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario"},{"id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"id":"9733","relation":"dissertation_contains","status":"public"}]},"date_updated":"2023-09-07T13:30:11Z","date_created":"2021-03-07T23:01:25Z","volume":111,"month":"02","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000617195700001"]},"quality_controlled":"1","isi":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"doi":"10.1007/s11005-020-01350-5","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"lang":"eng","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."}],"_id":"9225","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Persistence of the spectral gap for the Landau–Pekar equations","ddc":["510"],"status":"public","intvolume":" 111","file":[{"creator":"dernst","content_type":"application/pdf","file_size":391205,"file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","access_level":"open_access","date_updated":"2021-03-09T11:44:34Z","date_created":"2021-03-09T11:44:34Z","success":1,"checksum":"ffbfe1aad623bce7ff529c207e343b53","file_id":"9232","relation":"main_file"}],"oa_version":"Published Version","scopus_import":"1","day":"11","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication":"Letters in Mathematical Physics","citation":{"ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021)."},"article_type":"original","date_published":"2021-02-11T00:00:00Z"},{"oa_version":"Preprint","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","_id":"9787","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","ddc":["510"],"status":"public","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"}],"type":"preprint","date_published":"2021-02-01T00:00:00Z","publication":"arXiv","citation":{"ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","apa":"Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” arXiv. .","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.)."},"day":"01","has_accepted_license":"1","article_processing_charge":"No","author":[{"full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"id":"10224","relation":"later_version","status":"public"},{"id":"9733","relation":"dissertation_contains","status":"public"}]},"date_created":"2021-08-06T08:25:57Z","date_updated":"2023-09-07T13:30:10Z","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","year":"2021","publication_status":"submitted","department":[{"_id":"RoSe"}],"ec_funded":1,"article_number":"2101.12566","language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"main_file_link":[{"url":"https://arxiv.org/abs/2101.12566","open_access":"1"}],"oa":1,"external_id":{"arxiv":["2101.12566"]},"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"month":"02"},{"ec_funded":1,"author":[{"full_name":"Leopold, Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","last_name":"Leopold"},{"first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"date_created":"2022-02-06T23:01:33Z","date_updated":"2023-10-17T11:26:45Z","volume":14,"year":"2021","acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n","publication_status":"published","publisher":"Mathematical Sciences Publishers","department":[{"_id":"RoSe"}],"month":"11","publication_identifier":{"eissn":["1948-206X"],"issn":["2157-5045"]},"doi":"10.2140/APDE.2021.14.2079","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"external_id":{"arxiv":["1904.12532"],"isi":["000733976600004"]},"isi":1,"quality_controlled":"1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"abstract":[{"lang":"eng","text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2."}],"issue":"7","type":"journal_article","oa_version":"Preprint","_id":"10738","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","intvolume":" 14","day":"10","article_processing_charge":"No","scopus_import":"1","date_published":"2021-11-10T00:00:00Z","publication":"Analysis and PDE","citation":{"chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079.","short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/APDE.2021.14.2079","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” Analysis and PDE, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 2021;14(7):2079-2100. doi:10.2140/APDE.2021.14.2079"},"article_type":"original","page":"2079-2100"}]