[{"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"article_number":"77","title":"Weak Edgeworth expansion for the mean-field Bose gas","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["001022878900002"],"arxiv":["2208.00199"]},"author":[{"orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Bossmann, Lea, and Sören P Petrat. “Weak Edgeworth Expansion for the Mean-Field Bose Gas.” Letters in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s11005-023-01698-4.","ista":"Bossmann L, Petrat SP. 2023. Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. 113(4), 77.","mla":"Bossmann, Lea, and Sören P. Petrat. “Weak Edgeworth Expansion for the Mean-Field Bose Gas.” Letters in Mathematical Physics, vol. 113, no. 4, 77, Springer Nature, 2023, doi:10.1007/s11005-023-01698-4.","ama":"Bossmann L, Petrat SP. Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. 2023;113(4). doi:10.1007/s11005-023-01698-4","apa":"Bossmann, L., & Petrat, S. P. (2023). Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-023-01698-4","ieee":"L. Bossmann and S. P. Petrat, “Weak Edgeworth expansion for the mean-field Bose gas,” Letters in Mathematical Physics, vol. 113, no. 4. Springer Nature, 2023.","short":"L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023)."},"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"It is a pleasure to thank Martin Kolb, Simone Rademacher, Robert Seiringer and Stefan Teufel for helpful discussions. Moreover, we thank the referee for many constructive comments. L.B. gratefully acknowledges funding from the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111) and from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. We thank the Mathematical Research Institute Oberwolfach, where part of this work was done, for their hospitality.\r\nOpen Access funding enabled and organized by Projekt DEAL.","date_created":"2023-07-16T22:01:08Z","doi":"10.1007/s11005-023-01698-4","date_published":"2023-07-03T00:00:00Z","publication":"Letters in Mathematical Physics","day":"03","year":"2023","isi":1,"status":"public","type":"journal_article","article_type":"original","_id":"13226","department":[{"_id":"RoSe"}],"date_updated":"2023-12-13T11:31:50Z","intvolume":" 113","month":"07","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"We consider the ground state and the low-energy excited states of a system of N identical bosons with interactions in the mean-field scaling regime. For the ground state, we derive a weak Edgeworth expansion for the fluctuations of bounded one-body operators, which yields corrections to a central limit theorem to any order in 1/N−−√. For suitable excited states, we show that the limiting distribution is a polynomial times a normal distribution, and that higher-order corrections are given by an Edgeworth-type expansion.","lang":"eng"}],"ec_funded":1,"volume":113,"issue":"4","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]}},{"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"file_date_updated":"2022-01-19T09:41:14Z","ddc":["530"],"date_updated":"2023-08-02T13:57:02Z","status":"public","keyword":["mathematical physics","statistical and nonlinear physics"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"10642","volume":112,"issue":"1","ec_funded":1,"file":[{"file_name":"2022_LettersMathPhys_Henheik.pdf","date_created":"2022-01-19T09:41:14Z","file_size":357547,"date_updated":"2022-01-19T09:41:14Z","creator":"cchlebak","success":1,"file_id":"10647","checksum":"7e8e69b76e892c305071a4736131fe18","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"publication_status":"published","month":"01","intvolume":" 112","oa_version":"Published Version","abstract":[{"text":"Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system only locally, even if they close the spectral gap. We call this a strong version of the local perturbations perturb locally (LPPL) principle which is known to hold for much more general gapped systems, but only for perturbations that do not close the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle to Hamiltonians that have the appropriate structure of gapped on-site terms and weak interactions only locally in some region of space. While our results are technically corollaries to a theorem of Yarotsky, we expect that the paradigm of systems with a locally gapped ground state that is completely insensitive to the form of the Hamiltonian elsewhere extends to other situations and has important physical consequences.","lang":"eng"}],"title":"Local stability of ground states in locally gapped and weakly interacting quantum spin systems","author":[{"first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"first_name":"Stefan","last_name":"Teufel","full_name":"Teufel, Stefan"},{"first_name":"Tom","last_name":"Wessel","full_name":"Wessel, Tom"}],"article_processing_charge":"No","external_id":{"arxiv":["2106.13780"],"isi":["000744930400001"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics, vol. 112, no. 1, 9, Springer Nature, 2022, doi:10.1007/s11005-021-01494-y.","short":"S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).","ieee":"S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” Letters in Mathematical Physics, vol. 112, no. 1. Springer Nature, 2022.","apa":"Henheik, S. J., Teufel, S., & Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01494-y","ama":"Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 2022;112(1). doi:10.1007/s11005-021-01494-y","chicago":"Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-021-01494-y.","ista":"Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 112(1), 9."},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"article_number":"9","date_published":"2022-01-18T00:00:00Z","doi":"10.1007/s11005-021-01494-y","date_created":"2022-01-18T16:18:25Z","day":"18","publication":"Letters in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2022","quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"J. H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for very helpful comments and discussions and Jürg Fröhlich for references to the literature. Open Access funding enabled and organized by Projekt DEAL."},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” Letters in Mathematical Physics, vol. 112, no. 5. Springer Nature, 2022.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 2022;112(5). doi:10.1007/s11005-022-01584-5","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-022-01584-5","mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer Nature, 2022, doi:10.1007/s11005-022-01584-5.","ista":"Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5."},"title":"Improved Lieb–Oxford bound on the indirect and exchange energies","article_processing_charge":"No","external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"author":[{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"article_number":"92","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication":"Letters in Mathematical Physics","day":"15","year":"2022","isi":1,"date_created":"2023-01-16T09:53:54Z","date_published":"2022-09-15T00:00:00Z","doi":"10.1007/s11005-022-01584-5","acknowledgement":"We would like to thank David Gontier for useful advice on the numerical simulations. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful for the hospitality of the Institut Henri Poincaré in Paris, where part of this work was done.","oa":1,"quality_controlled":"1","publisher":"Springer Nature","date_updated":"2023-09-05T15:17:34Z","department":[{"_id":"RoSe"}],"_id":"12246","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"ec_funded":1,"issue":"5","volume":112,"oa_version":"Preprint","abstract":[{"text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy.","lang":"eng"}],"intvolume":" 112","month":"09","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2203.12473","open_access":"1"}],"scopus_import":"1"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ama":"Lauritsen AB. The BCS energy gap at low density. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-021-01358-5","apa":"Lauritsen, A. B. (2021). The BCS energy gap at low density. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01358-5","ieee":"A. B. Lauritsen, “The BCS energy gap at low density,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","short":"A.B. Lauritsen, Letters in Mathematical Physics 111 (2021).","mla":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” Letters in Mathematical Physics, vol. 111, 20, Springer Nature, 2021, doi:10.1007/s11005-021-01358-5.","ista":"Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical Physics. 111, 20.","chicago":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01358-5."},"title":"The BCS energy gap at low density","author":[{"first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000617531900001"]},"article_number":"20","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"day":"12","publication":"Letters in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2021","doi":"10.1007/s11005-021-01358-5","date_published":"2021-02-12T00:00:00Z","date_created":"2021-02-15T09:27:14Z","acknowledgement":"Most of this work was done as part of the author’s master’s thesis. The author would like to thank Jan Philip Solovej for his supervision of this process.\r\nOpen Access funding provided by Institute of Science and Technology (IST Austria)","publisher":"Springer Nature","quality_controlled":"1","oa":1,"ddc":["510"],"date_updated":"2023-09-05T15:17:16Z","file_date_updated":"2021-02-15T09:31:07Z","department":[{"_id":"GradSch"}],"_id":"9121","status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"date_updated":"2021-02-15T09:31:07Z","file_size":329332,"creator":"dernst","date_created":"2021-02-15T09:31:07Z","file_name":"2021_LettersMathPhysics_Lauritsen.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"eaf1b3ff5026f120f0929a5c417dc842","file_id":"9122","success":1}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"publication_status":"published","volume":111,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We show that the energy gap for the BCS gap equation is\r\nΞ=μ(8e−2+o(1))exp(π2μ−−√a)\r\nin the low density limit μ→0. Together with the similar result for the critical temperature by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in the low density limit, the ratio of the energy gap and critical temperature is a universal constant independent of the interaction potential V. The results hold for a class of potentials with negative scattering length a and no bound states."}],"month":"02","intvolume":" 111"},{"isi":1,"year":"2020","day":"01","publication":"Letters in Mathematical Physics","page":"2039-2052","date_published":"2020-08-01T00:00:00Z","doi":"10.1007/s11005-020-01282-0","date_created":"2020-03-25T15:57:48Z","acknowledgement":"J. Pitrik was supported by the Hungarian Academy of Sciences Lendület-Momentum Grant for Quantum\r\nInformation Theory, No. 96 141, and by the Hungarian National Research, Development and Innovation\r\nOffice (NKFIH) via Grants Nos. K119442, K124152 and KH129601. D. Virosztek was supported by the\r\nISTFELLOW program of the Institute of Science and Technology Austria (Project Code IC1027FELL01),\r\nby the European Union’s Horizon 2020 research and innovation program under the Marie\r\nSklodowska-Curie Grant Agreement No. 846294, and partially supported by the Hungarian National\r\nResearch, Development and Innovation Office (NKFIH) via Grants Nos. K124152 and KH129601.\r\nWe are grateful to Milán Mosonyi for drawing our attention to Ref.’s [6,14,15,17,\r\n20,21], for comments on earlier versions of this paper, and for several discussions on the topic. We are\r\nalso grateful to Miklós Pálfia for several discussions; to László Erdös for his essential suggestions on the\r\nstructure and highlights of this paper, and for his comments on earlier versions; and to the anonymous\r\nreferee for his/her valuable comments and suggestions.","publisher":"Springer Nature","quality_controlled":"1","oa":1,"citation":{"ista":"Pitrik J, Virosztek D. 2020. Quantum Hellinger distances revisited. Letters in Mathematical Physics. 110(8), 2039–2052.","chicago":"Pitrik, Jozsef, and Daniel Virosztek. “Quantum Hellinger Distances Revisited.” Letters in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s11005-020-01282-0.","ieee":"J. Pitrik and D. Virosztek, “Quantum Hellinger distances revisited,” Letters in Mathematical Physics, vol. 110, no. 8. Springer Nature, pp. 2039–2052, 2020.","short":"J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.","apa":"Pitrik, J., & Virosztek, D. (2020). Quantum Hellinger distances revisited. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01282-0","ama":"Pitrik J, Virosztek D. Quantum Hellinger distances revisited. Letters in Mathematical Physics. 2020;110(8):2039-2052. doi:10.1007/s11005-020-01282-0","mla":"Pitrik, Jozsef, and Daniel Virosztek. “Quantum Hellinger Distances Revisited.” Letters in Mathematical Physics, vol. 110, no. 8, Springer Nature, 2020, pp. 2039–52, doi:10.1007/s11005-020-01282-0."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Pitrik, Jozsef","last_name":"Pitrik","first_name":"Jozsef"},{"last_name":"Virosztek","orcid":"0000-0003-1109-5511","full_name":"Virosztek, Daniel","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","first_name":"Daniel"}],"external_id":{"arxiv":["1903.10455"],"isi":["000551556000002"]},"article_processing_charge":"No","title":"Quantum Hellinger distances revisited","project":[{"name":"Geometric study of Wasserstein spaces and free probability","grant_number":"846294","_id":"26A455A6-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":110,"issue":"8","ec_funded":1,"abstract":[{"lang":"eng","text":"This short note aims to study quantum Hellinger distances investigated recently by Bhatia et al. (Lett Math Phys 109:1777–1804, 2019) with a particular emphasis on barycenters. We introduce the family of generalized quantum Hellinger divergences that are of the form ϕ(A,B)=Tr((1−c)A+cB−AσB), where σ is an arbitrary Kubo–Ando mean, and c∈(0,1) is the weight of σ. We note that these divergences belong to the family of maximal quantum f-divergences, and hence are jointly convex, and satisfy the data processing inequality. We derive a characterization of the barycenter of finitely many positive definite operators for these generalized quantum Hellinger divergences. We note that the characterization of the barycenter as the weighted multivariate 1/2-power mean, that was claimed in Bhatia et al. (2019), is true in the case of commuting operators, but it is not correct in the general case. "}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1903.10455","open_access":"1"}],"month":"08","intvolume":" 110","date_updated":"2023-08-18T10:17:26Z","department":[{"_id":"LaEr"}],"_id":"7618","article_type":"original","type":"journal_article","status":"public"},{"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"}],"citation":{"ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, vol. 110. Springer Nature, pp. 2143–2174, 2020.","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. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01286-w","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w","mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000551556000006"]},"author":[{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"}],"title":"Central limit theorem for Bose gases interacting through singular potentials","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.","oa":1,"publisher":"Springer Nature","quality_controlled":"1","year":"2020","has_accepted_license":"1","isi":1,"publication":"Letters in Mathematical Physics","day":"12","page":"2143-2174","date_created":"2020-03-23T11:11:47Z","doi":"10.1007/s11005-020-01286-w","date_published":"2020-03-12T00:00:00Z","_id":"7611","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","date_updated":"2023-09-05T15:14:50Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-20T12:04:26Z","abstract":[{"text":"We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 110","month":"03","publication_status":"published","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"language":[{"iso":"eng"}],"file":[{"file_name":"2020_LettersMathPhysics_Rademacher.pdf","date_created":"2020-11-20T12:04:26Z","creator":"dernst","file_size":478683,"date_updated":"2020-11-20T12:04:26Z","success":1,"checksum":"3bdd41f10ad947b67a45b98f507a7d4a","file_id":"8784","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"ec_funded":1,"volume":110},{"date_created":"2018-12-11T11:57:07Z","date_published":"2001-02-01T00:00:00Z","doi":"10.1023/A:1010951905548","page":"133 - 142","publication":"Letters in Mathematical Physics","day":"01","year":"2001","oa":1,"publisher":"Springer","quality_controlled":"1","title":"Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics","external_id":{"arxiv":["cond-mat/0102118"]},"article_processing_charge":"No","publist_id":"4581","author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","citation":{"ista":"Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 55(2), 133–142.","chicago":"Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” Letters in Mathematical Physics. Springer, 2001. https://doi.org/10.1023/A:1010951905548.","ieee":"C. Hainzl and R. Seiringer, “Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics,” Letters in Mathematical Physics, vol. 55, no. 2. Springer, pp. 133–142, 2001.","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.","ama":"Hainzl C, Seiringer R. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 2001;55(2):133-142. doi:10.1023/A:1010951905548","apa":"Hainzl, C., & Seiringer, R. (2001). Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. Springer. https://doi.org/10.1023/A:1010951905548","mla":"Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” Letters in Mathematical Physics, vol. 55, no. 2, Springer, 2001, pp. 133–42, doi:10.1023/A:1010951905548."},"volume":55,"issue":"2","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"]},"intvolume":" 55","month":"02","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/cond-mat/0102118"}],"scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"By means of a generalization of the Fefferman - de la Llave decomposition we derive a general lower bound on the interaction energy of one-dimensional quantum systems. We apply this result to a specific class of lowest Landau band wave functions."}],"extern":"1","date_updated":"2023-05-30T12:44:05Z","status":"public","article_type":"original","type":"journal_article","_id":"2346"},{"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","citation":{"ista":"Erdös L. 1993. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 29(3), 219–240.","chicago":"Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” Letters in Mathematical Physics. Springer, 1993. https://doi.org/10.1007/BF00761110.","short":"L. Erdös, Letters in Mathematical Physics 29 (1993) 219–240.","ieee":"L. Erdös, “Ground-state density of the Pauli operator in the large field limit,” Letters in Mathematical Physics, vol. 29, no. 3. Springer, pp. 219–240, 1993.","apa":"Erdös, L. (1993). Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/BF00761110","ama":"Erdös L. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 1993;29(3):219-240. doi:10.1007/BF00761110","mla":"Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” Letters in Mathematical Physics, vol. 29, no. 3, Springer, 1993, pp. 219–40, doi:10.1007/BF00761110."},"title":"Ground-state density of the Pauli operator in the large field limit","article_processing_charge":"No","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","last_name":"Erdös"}],"publist_id":"4169","publication":"Letters in Mathematical Physics","day":"01","year":"1993","date_created":"2018-12-11T11:59:16Z","doi":"10.1007/BF00761110","date_published":"1993-11-01T00:00:00Z","page":"219 - 240","publisher":"Springer","quality_controlled":"1","extern":"1","date_updated":"2022-03-30T15:02:00Z","_id":"2723","status":"public","article_type":"original","type":"journal_article","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"]},"issue":"3","volume":29,"oa_version":"None","abstract":[{"lang":"eng","text":"The ground-state density of the Pauli operator in the case of a nonconstant magnetic field with constant direction is studied. It is shown that in the large field limit, the naturally rescaled ground-state density function is bounded from above by the megnetic field, and under some additional conditions, the limit density function is equal to the magnetic field. A restatement of this result yields an estimate on the density of complex orthogonal polynomials with respect to a fairly general weight function. We also prove a special case of the paramagnetic inequality. "}],"intvolume":" 29","month":"11","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF00761110"}],"scopus_import":"1"}]