[{"oa":1,"date_created":"2026-01-04T23:01:33Z","project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"}],"article_type":"original","has_accepted_license":"1","_id":"20925","das_tickbox":"1","ddc":["510"],"intvolume":"       116","scopus_import":"1","publication":"Letters in Mathematical Physics","publisher":"Springer Nature","language":[{"iso":"eng"}],"file":[{"date_updated":"2026-07-23T06:42:01Z","date_created":"2026-07-23T06:42:01Z","file_name":"2026_LettersMathPhysics_Erdoes.pdf","creator":"dernst","content_type":"application/pdf","access_level":"open_access","checksum":"f2021f8f6d38491948b94a7765a64d0b","success":1,"file_size":602526,"file_id":"22390","relation":"main_file"}],"corr_author":"1","date_published":"2026-02-01T00:00:00Z","volume":116,"OA_type":"hybrid","PlanS_conform":"1","mathsc":["60B20","82C10"],"pmid":1,"quality_controlled":"1","OA_place":"publisher","title":"Normal typicality and dynamical typicality for a random block-band matrix model","author":[{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"full_name":"Vogel, Cornelia","last_name":"Vogel","first_name":"Cornelia","id":"1cd0554a-ea28-11f0-9f40-ff76440883cd"}],"abstract":[{"text":"We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been proven rigorously in any model before. Our proof builds on recently established concentration estimates for products of resolvents of Wigner type random matrices (Erdős and Riabov in Commun Math Phys 405(12): 282, 2024) and an intricate analysis of the deterministic approximation.","lang":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"year":"2026","status":"public","acknowledgement":"L.E. and J.H. are supported by the ERC Advanced Grant “RMTBeyond” No. 101020331. Moreover, J.H. acknowledges (partial) financial support by the ERC Consolidator Grant “ProbQuant” (jointly with the Swiss State Secretariat for Education, Research and Innovation). C.V. was (partially) supported by the German Academic Scholarship Foundation and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 352 – Project-ID 470903074. Moreover, C.V. acknowledges (partial) financial support by the ERC Starting Grant “FermiMath\" No. 101040991 and the ERC Consolidator Grant “RAMBAS” No. 10104424, funded by the European Union. Open access funding provided by Institute of Science and Technology (IST Austria).","doi":"10.1007/s11005-025-02037-5","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"month":"02","supplementarymaterial":"yes","citation":{"short":"L. Erdös, S.J. Henheik, C. Vogel, Letters in Mathematical Physics 116 (2026).","mla":"Erdös, László, et al. “Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model.” <i>Letters in Mathematical Physics</i>, vol. 116, 5, Springer Nature, 2026, doi:<a href=\"https://doi.org/10.1007/s11005-025-02037-5\">10.1007/s11005-025-02037-5</a>.","chicago":"Erdös, László, Sven Joscha Henheik, and Cornelia Vogel. “Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2026. <a href=\"https://doi.org/10.1007/s11005-025-02037-5\">https://doi.org/10.1007/s11005-025-02037-5</a>.","ista":"Erdös L, Henheik SJ, Vogel C. 2026. Normal typicality and dynamical typicality for a random block-band matrix model. Letters in Mathematical Physics. 116, 5.","apa":"Erdös, L., Henheik, S. J., &#38; Vogel, C. (2026). Normal typicality and dynamical typicality for a random block-band matrix model. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-025-02037-5\">https://doi.org/10.1007/s11005-025-02037-5</a>","ieee":"L. Erdös, S. J. Henheik, and C. Vogel, “Normal typicality and dynamical typicality for a random block-band matrix model,” <i>Letters in Mathematical Physics</i>, vol. 116. Springer Nature, 2026.","ama":"Erdös L, Henheik SJ, Vogel C. Normal typicality and dynamical typicality for a random block-band matrix model. <i>Letters in Mathematical Physics</i>. 2026;116. doi:<a href=\"https://doi.org/10.1007/s11005-025-02037-5\">10.1007/s11005-025-02037-5</a>"},"file_date_updated":"2026-07-23T06:42:01Z","day":"01","type":"journal_article","license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"dataavailabilitystatement":"The Matlab code used to generate the datasets of the provided examples is available from the corresponding author on request.","article_number":"5","date_updated":"2026-07-23T06:42:28Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","publication_status":"published","researchdata_availability":"upon request","department":[{"_id":"LaEr"}],"fulldoi":"https://doi.org/10.1007/s11005-025-02037-5","external_id":{"pmid":["41459414"]}},{"title":"Longitudinal conductivity at integer quantum Hall transitions","author":[{"full_name":"Marcelli, Giovanna","last_name":"Marcelli","first_name":"Giovanna"},{"last_name":"Pigozzi","first_name":"Lorenzo","id":"efb8f850-3208-11ee-ac71-8c4f5803b9c6","full_name":"Pigozzi, Lorenzo"},{"last_name":"Porta","first_name":"Marcello","full_name":"Porta, Marcello"}],"quality_controlled":"1","mathsc":["81V70"],"volume":116,"OA_type":"green","OA_place":"repository","date_published":"2026-08-01T00:00:00Z","language":[{"iso":"eng"}],"arxiv":1,"publisher":"Springer Nature","das_tickbox":"1","_id":"22404","publication":"Letters in Mathematical Physics","intvolume":"       116","scopus_import":"1","date_created":"2026-07-26T22:01:40Z","oa":1,"article_type":"original","fulldoi":"https://doi.org/10.1007/s11005-026-02087-3","external_id":{"arxiv":["2503.01381"]},"publication_status":"published","researchdata_availability":"not applicable","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","article_processing_charge":"No","date_updated":"2026-07-29T10:51:55Z","article_number":"82","day":"01","type":"journal_article","dataavailabilitystatement":"Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2503.01381"}],"supplementarymaterial":"no","month":"08","citation":{"ama":"Marcelli G, Pigozzi L, Porta M. Longitudinal conductivity at integer quantum Hall transitions. <i>Letters in Mathematical Physics</i>. 2026;116(4). doi:<a href=\"https://doi.org/10.1007/s11005-026-02087-3\">10.1007/s11005-026-02087-3</a>","ista":"Marcelli G, Pigozzi L, Porta M. 2026. Longitudinal conductivity at integer quantum Hall transitions. Letters in Mathematical Physics. 116(4), 82.","apa":"Marcelli, G., Pigozzi, L., &#38; Porta, M. (2026). Longitudinal conductivity at integer quantum Hall transitions. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-026-02087-3\">https://doi.org/10.1007/s11005-026-02087-3</a>","ieee":"G. Marcelli, L. Pigozzi, and M. Porta, “Longitudinal conductivity at integer quantum Hall transitions,” <i>Letters in Mathematical Physics</i>, vol. 116, no. 4. Springer Nature, 2026.","chicago":"Marcelli, Giovanna, Lorenzo Pigozzi, and Marcello Porta. “Longitudinal Conductivity at Integer Quantum Hall Transitions.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2026. <a href=\"https://doi.org/10.1007/s11005-026-02087-3\">https://doi.org/10.1007/s11005-026-02087-3</a>.","mla":"Marcelli, Giovanna, et al. “Longitudinal Conductivity at Integer Quantum Hall Transitions.” <i>Letters in Mathematical Physics</i>, vol. 116, no. 4, 82, Springer Nature, 2026, doi:<a href=\"https://doi.org/10.1007/s11005-026-02087-3\">10.1007/s11005-026-02087-3</a>.","short":"G. Marcelli, L. Pigozzi, M. Porta, Letters in Mathematical Physics 116 (2026)."},"acknowledgement":"G. M. and M. P. acknowledge support by the European Research Council through the ERC-StG MaMBoQ, n. 802901. G. M. acknowledges financial support from the Independent Research Fund Denmark–Natural Sciences, grant DFF–10.46540/2032-00005B and from the European Research Council through the ERC CoG UniCoSM, grant agreement n.724939. M. P. acknowledges support from the MUR, PRIN 2022 project MaIQuFi cod. 20223J85K3. This work has been carried out under the auspices of the GNFM of INdAM. We thank the anonymous referees for comments on a previous version of this manuscript.","status":"public","year":"2026","doi":"10.1007/s11005-026-02087-3","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"issue":"4","abstract":[{"lang":"eng","text":"We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum Hall phases. We consider the longitudinal conductivity, as given by Kubo formula, describing the variation of the current after introducing a space-homogeneous electric field, in an adiabatic way. We obtain an explicit expression for the longitudinal conductivity, completely determined by the number of conical intersections and by the shape of the cones. In particular, the formula reproduces the known quantized values found for graphene and for the critical Haldane model. Furthermore, we discuss the validity of Kubo formula in presence of conical intersections in the spectrum, starting from the time-dependent Schrödinger equation. For electric fields which are weak and slowly varying in space and in time, we prove the validity of linear response from quantum dynamics."}]},{"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"doi":"10.1007/s11005-023-01698-4","year":"2023","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.","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","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."}],"issue":"4","ec_funded":1,"file_date_updated":"2025-06-25T06:20:02Z","day":"03","type":"journal_article","citation":{"ieee":"L. Bossmann and S. P. Petrat, “Weak Edgeworth expansion for the mean-field Bose gas,” <i>Letters in Mathematical Physics</i>, vol. 113, no. 4. Springer Nature, 2023.","ama":"Bossmann L, Petrat SP. Weak Edgeworth expansion for the mean-field Bose gas. <i>Letters in Mathematical Physics</i>. 2023;113(4). doi:<a href=\"https://doi.org/10.1007/s11005-023-01698-4\">10.1007/s11005-023-01698-4</a>","apa":"Bossmann, L., &#38; Petrat, S. P. (2023). Weak Edgeworth expansion for the mean-field Bose gas. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-023-01698-4\">https://doi.org/10.1007/s11005-023-01698-4</a>","ista":"Bossmann L, Petrat SP. 2023. Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. 113(4), 77.","short":"L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).","mla":"Bossmann, Lea, and Sören P. Petrat. “Weak Edgeworth Expansion for the Mean-Field Bose Gas.” <i>Letters in Mathematical Physics</i>, vol. 113, no. 4, 77, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s11005-023-01698-4\">10.1007/s11005-023-01698-4</a>.","chicago":"Bossmann, Lea, and Sören P Petrat. “Weak Edgeworth Expansion for the Mean-Field Bose Gas.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11005-023-01698-4\">https://doi.org/10.1007/s11005-023-01698-4</a>."},"month":"07","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"77","date_updated":"2025-06-25T06:20:15Z","external_id":{"isi":["001022878900002"],"arxiv":["2208.00199"]},"fulldoi":"https://doi.org/10.1007/s11005-023-01698-4","department":[{"_id":"RoSe"}],"publication_status":"published","intvolume":"       113","scopus_import":"1","publication":"Letters in Mathematical Physics","_id":"13226","ddc":["510"],"article_type":"original","project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"has_accepted_license":"1","date_created":"2023-07-16T22:01:08Z","oa":1,"isi":1,"publisher":"Springer Nature","file":[{"file_name":"2023_LettersMathPhysics_Bossmann.pdf","creator":"dernst","content_type":"application/pdf","date_updated":"2025-06-25T06:20:02Z","date_created":"2025-06-25T06:20:02Z","file_size":586698,"success":1,"relation":"main_file","file_id":"19898","access_level":"open_access","checksum":"995c902a989a6769fd3db456cfd41111"}],"date_published":"2023-07-03T00:00:00Z","corr_author":"1","arxiv":1,"language":[{"iso":"eng"}],"author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","first_name":"Lea","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P"}],"title":"Weak Edgeworth expansion for the mean-field Bose gas","OA_place":"publisher","volume":113,"OA_type":"hybrid","quality_controlled":"1"},{"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"doi":"10.1007/s11005-022-01584-5","year":"2022","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.","status":"public","abstract":[{"lang":"eng","text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy."}],"issue":"5","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12473"}],"ec_funded":1,"day":"15","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"citation":{"mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5, 92, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","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.","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. 2022;112(5). doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5. Springer Nature, 2022.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>"},"month":"09","oa_version":"Preprint","article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_number":"92","date_updated":"2025-04-14T07:26:59Z","external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"fulldoi":"https://doi.org/10.1007/s11005-022-01584-5","department":[{"_id":"RoSe"}],"publication_status":"published","scopus_import":"1","intvolume":"       112","publication":"Letters in Mathematical Physics","_id":"12246","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"article_type":"original","oa":1,"date_created":"2023-01-16T09:53:54Z","publisher":"Springer Nature","isi":1,"date_published":"2022-09-15T00:00:00Z","arxiv":1,"language":[{"iso":"eng"}],"author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"title":"Improved Lieb–Oxford bound on the indirect and exchange energies","volume":112,"quality_controlled":"1"},{"publication_status":"published","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"fulldoi":"https://doi.org/10.1007/s11005-021-01494-y","external_id":{"pmid":["35125630"],"arxiv":["2106.13780"],"isi":["000744930400001"]},"article_number":"9","date_updated":"2026-07-29T13:18:16Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","article_processing_charge":"No","month":"01","citation":{"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.","apa":"Henheik, S. J., Teufel, S., &#38; Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01494-y\">https://doi.org/10.1007/s11005-021-01494-y</a>","ama":"Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical Physics</i>. 2022;112(1). doi:<a href=\"https://doi.org/10.1007/s11005-021-01494-y\">10.1007/s11005-021-01494-y</a>","ieee":"S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 1. Springer Nature, 2022.","chicago":"Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-021-01494-y\">https://doi.org/10.1007/s11005-021-01494-y</a>.","mla":"Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 1, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-021-01494-y\">10.1007/s11005-021-01494-y</a>.","short":"S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022)."},"file_date_updated":"2022-01-19T09:41:14Z","day":"18","type":"journal_article","keyword":["mathematical physics","statistical and nonlinear physics"],"ec_funded":1,"abstract":[{"lang":"eng","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."}],"issue":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"year":"2022","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.","status":"public","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"doi":"10.1007/s11005-021-01494-y","volume":112,"quality_controlled":"1","pmid":1,"author":[{"first_name":"Sven Joscha","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X"},{"last_name":"Teufel","first_name":"Stefan","full_name":"Teufel, Stefan"},{"full_name":"Wessel, Tom","last_name":"Wessel","first_name":"Tom"}],"title":"Local stability of ground states in locally gapped and weakly interacting quantum spin systems","arxiv":1,"language":[{"iso":"eng"}],"related_material":{"record":[{"id":"19540","status":"public","relation":"dissertation_contains"}]},"file":[{"file_size":357547,"success":1,"relation":"main_file","file_id":"10647","access_level":"open_access","checksum":"7e8e69b76e892c305071a4736131fe18","file_name":"2022_LettersMathPhys_Henheik.pdf","creator":"cchlebak","content_type":"application/pdf","date_created":"2022-01-19T09:41:14Z","date_updated":"2022-01-19T09:41:14Z"}],"date_published":"2022-01-18T00:00:00Z","isi":1,"publisher":"Springer Nature","oa":1,"date_created":"2022-01-18T16:18:25Z","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"article_type":"original","has_accepted_license":"1","_id":"10642","ddc":["530"],"scopus_import":"1","intvolume":"       112","publication":"Letters in Mathematical Physics"},{"external_id":{"isi":["000617531900001"]},"fulldoi":"https://doi.org/10.1007/s11005-021-01358-5","department":[{"_id":"GradSch"}],"publication_status":"published","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_updated":"2025-04-15T06:53:09Z","article_number":"20","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","day":"12","file_date_updated":"2021-02-15T09:31:07Z","citation":{"ista":"Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical Physics. 111, 20.","ama":"Lauritsen AB. The BCS energy gap at low density. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01358-5\">10.1007/s11005-021-01358-5</a>","apa":"Lauritsen, A. B. (2021). The BCS energy gap at low density. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01358-5\">https://doi.org/10.1007/s11005-021-01358-5</a>","ieee":"A. B. Lauritsen, “The BCS energy gap at low density,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","short":"A.B. Lauritsen, Letters in Mathematical Physics 111 (2021).","chicago":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01358-5\">https://doi.org/10.1007/s11005-021-01358-5</a>.","mla":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters in Mathematical Physics</i>, vol. 111, 20, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01358-5\">10.1007/s11005-021-01358-5</a>."},"month":"02","doi":"10.1007/s11005-021-01358-5","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"status":"public","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)","year":"2021","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"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."}],"author":[{"full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"title":"The BCS energy gap at low density","quality_controlled":"1","volume":111,"date_published":"2021-02-12T00:00:00Z","file":[{"relation":"main_file","file_id":"9122","success":1,"file_size":329332,"access_level":"open_access","checksum":"eaf1b3ff5026f120f0929a5c417dc842","content_type":"application/pdf","creator":"dernst","file_name":"2021_LettersMathPhysics_Lauritsen.pdf","date_created":"2021-02-15T09:31:07Z","date_updated":"2021-02-15T09:31:07Z"}],"language":[{"iso":"eng"}],"isi":1,"publisher":"Springer Nature","publication":"Letters in Mathematical Physics","intvolume":"       111","scopus_import":"1","ddc":["510"],"_id":"9121","has_accepted_license":"1","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"article_type":"original","date_created":"2021-02-15T09:27:14Z","oa":1},{"month":"02","citation":{"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>","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.","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., &#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>","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","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>.","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>."},"type":"journal_article","day":"11","file_date_updated":"2021-03-09T11:44:34Z","ec_funded":1,"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"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"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)","status":"public","year":"2021","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"doi":"10.1007/s11005-020-01350-5","publication_status":"published","department":[{"_id":"RoSe"}],"fulldoi":"https://doi.org/10.1007/s11005-020-01350-5","external_id":{"isi":["000617195700001"]},"date_updated":"2026-04-08T06:59:49Z","article_number":"19","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","publisher":"Springer Nature","isi":1,"date_created":"2021-03-07T23:01:25Z","oa":1,"has_accepted_license":"1","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"article_type":"original","ddc":["510"],"_id":"9225","publication":"Letters in Mathematical Physics","scopus_import":"1","intvolume":"       111","quality_controlled":"1","volume":111,"author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"Persistence of the spectral gap for the Landau–Pekar equations","language":[{"iso":"eng"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"9733"}]},"date_published":"2021-02-11T00:00:00Z","file":[{"relation":"main_file","file_id":"9232","success":1,"file_size":391205,"checksum":"ffbfe1aad623bce7ff529c207e343b53","access_level":"open_access","content_type":"application/pdf","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","creator":"dernst","date_created":"2021-03-09T11:44:34Z","date_updated":"2021-03-09T11:44:34Z"}]},{"date_published":"2021-03-09T00:00:00Z","file":[{"checksum":"687fef1525789c0950de90468dd81604","access_level":"open_access","relation":"main_file","file_id":"9273","file_size":397962,"success":1,"date_created":"2021-03-22T11:01:09Z","date_updated":"2021-03-22T11:01:09Z","content_type":"application/pdf","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","creator":"dernst"}],"language":[{"iso":"eng"}],"title":"Free energy asymptotics of the quantum Heisenberg spin chain","author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"pmid":1,"quality_controlled":"1","volume":111,"ddc":["510"],"_id":"9256","publication":"Letters in Mathematical Physics","intvolume":"       111","scopus_import":"1","date_created":"2021-03-21T23:01:19Z","oa":1,"has_accepted_license":"1","article_type":"original","isi":1,"publisher":"Springer Nature","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","date_updated":"2026-04-02T14:06:48Z","article_number":"31","fulldoi":"https://doi.org/10.1007/s11005-021-01375-4","external_id":{"pmid":["33785980"],"isi":["000626837400001"]},"publication_status":"published","department":[{"_id":"RoSe"}],"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).","status":"public","year":"2021","doi":"10.1007/s11005-021-01375-4","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"issue":"2","abstract":[{"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.","lang":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"day":"09","type":"journal_article","file_date_updated":"2021-03-22T11:01:09Z","month":"03","citation":{"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>","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","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>","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>.","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>.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021)."}},{"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"doi":"10.1007/s11005-021-01380-7","year":"2021","status":"public","acknowledgement":"I thank Marcel Griesemer for many interesting discussions about the Fröhlich polaron and also for valuable comments on this manuscript. Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL.","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation.","lang":"eng"}],"file_date_updated":"2021-04-19T10:40:01Z","type":"journal_article","day":"05","citation":{"apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>.","mla":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>, vol. 111, 45, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>."},"month":"04","article_processing_charge":"No","oa_version":"Published Version","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","article_number":"45","date_updated":"2026-04-02T13:58:00Z","external_id":{"isi":["000637359300002"]},"fulldoi":"https://doi.org/10.1007/s11005-021-01380-7","department":[{"_id":"RoSe"}],"publication_status":"published","scopus_import":"1","intvolume":"       111","publication":"Letters in Mathematical Physics","_id":"9333","ddc":["510"],"article_type":"original","has_accepted_license":"1","oa":1,"date_created":"2021-04-18T22:01:41Z","isi":1,"publisher":"Springer Nature","file":[{"date_created":"2021-04-19T10:40:01Z","date_updated":"2021-04-19T10:40:01Z","creator":"dernst","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","content_type":"application/pdf","access_level":"open_access","checksum":"be56c0845a43c0c5c772ee0b5053f7d7","success":1,"file_size":438084,"file_id":"9341","relation":"main_file"}],"date_published":"2021-04-05T00:00:00Z","language":[{"iso":"eng"}],"title":"A note on the Fröhlich dynamics in the strong coupling limit","author":[{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"volume":111,"quality_controlled":"1"},{"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"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"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.","status":"public","year":"2020","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"doi":"10.1007/s11005-020-01286-w","month":"03","citation":{"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>.","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>.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","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.","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>","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>"},"type":"journal_article","day":"12","file_date_updated":"2020-11-20T12:04:26Z","ec_funded":1,"date_updated":"2025-04-14T07:44:03Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","publication_status":"published","department":[{"_id":"RoSe"}],"fulldoi":"https://doi.org/10.1007/s11005-020-01286-w","external_id":{"isi":["000551556000006"]},"date_created":"2020-03-23T11:11:47Z","oa":1,"has_accepted_license":"1","article_type":"original","project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":"2143-2174","ddc":["510"],"_id":"7611","publication":"Letters in Mathematical Physics","scopus_import":"1","intvolume":"       110","publisher":"Springer Nature","isi":1,"language":[{"iso":"eng"}],"corr_author":"1","date_published":"2020-03-12T00:00:00Z","file":[{"file_id":"8784","relation":"main_file","success":1,"file_size":478683,"checksum":"3bdd41f10ad947b67a45b98f507a7d4a","access_level":"open_access","content_type":"application/pdf","creator":"dernst","file_name":"2020_LettersMathPhysics_Rademacher.pdf","date_created":"2020-11-20T12:04:26Z","date_updated":"2020-11-20T12:04:26Z"}],"quality_controlled":"1","volume":110,"title":"Central limit theorem for Bose gases interacting through singular potentials","author":[{"full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"}]},{"date_created":"2020-03-25T15:57:48Z","oa":1,"article_type":"original","project":[{"name":"Geometric study of Wasserstein spaces and free probability","call_identifier":"H2020","grant_number":"846294","_id":"26A455A6-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734"}],"page":"2039-2052","_id":"7618","publication":"Letters in Mathematical Physics","scopus_import":"1","intvolume":"       110","isi":1,"publisher":"Springer Nature","language":[{"iso":"eng"}],"arxiv":1,"date_published":"2020-08-01T00:00:00Z","corr_author":"1","quality_controlled":"1","volume":110,"title":"Quantum Hellinger distances revisited","author":[{"first_name":"Jozsef","last_name":"Pitrik","full_name":"Pitrik, Jozsef"},{"first_name":"Daniel","last_name":"Virosztek","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","full_name":"Virosztek, Daniel","orcid":"0000-0003-1109-5511"}],"issue":"8","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. "}],"status":"public","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.","year":"2020","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"doi":"10.1007/s11005-020-01282-0","month":"08","citation":{"chicago":"Pitrik, Jozsef, and Daniel Virosztek. “Quantum Hellinger Distances Revisited.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s11005-020-01282-0\">https://doi.org/10.1007/s11005-020-01282-0</a>.","mla":"Pitrik, Jozsef, and Daniel Virosztek. “Quantum Hellinger Distances Revisited.” <i>Letters in Mathematical Physics</i>, vol. 110, no. 8, Springer Nature, 2020, pp. 2039–52, doi:<a href=\"https://doi.org/10.1007/s11005-020-01282-0\">10.1007/s11005-020-01282-0</a>.","short":"J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.","ieee":"J. Pitrik and D. Virosztek, “Quantum Hellinger distances revisited,” <i>Letters in Mathematical Physics</i>, vol. 110, no. 8. Springer Nature, pp. 2039–2052, 2020.","ama":"Pitrik J, Virosztek D. Quantum Hellinger distances revisited. <i>Letters in Mathematical Physics</i>. 2020;110(8):2039-2052. doi:<a href=\"https://doi.org/10.1007/s11005-020-01282-0\">10.1007/s11005-020-01282-0</a>","ista":"Pitrik J, Virosztek D. 2020. Quantum Hellinger distances revisited. Letters in Mathematical Physics. 110(8), 2039–2052.","apa":"Pitrik, J., &#38; Virosztek, D. (2020). Quantum Hellinger distances revisited. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01282-0\">https://doi.org/10.1007/s11005-020-01282-0</a>"},"type":"journal_article","day":"01","ec_funded":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1903.10455"}],"date_updated":"2025-10-09T08:23:15Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Preprint","publication_status":"published","department":[{"_id":"LaEr"}],"fulldoi":"https://doi.org/10.1007/s11005-020-01282-0","external_id":{"arxiv":["1903.10455"],"isi":["000551556000002"]}},{"language":[{"iso":"eng"}],"date_published":"2017-03-01T00:00:00Z","file":[{"file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","creator":"system","content_type":"application/pdf","date_created":"2018-12-12T10:17:40Z","date_updated":"2020-07-14T12:44:38Z","file_size":587207,"relation":"main_file","file_id":"5296","access_level":"open_access","checksum":"c0c835def162c1bc52f978fad26e3c2f"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"quality_controlled":"1","volume":107,"publist_id":"6152","title":"Triviality of a model of particles with point interactions in the thermodynamic limit","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas","full_name":"Moser, Thomas"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"has_accepted_license":"1","project":[{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"oa":1,"date_created":"2018-12-11T11:50:40Z","publication":"Letters in Mathematical Physics","scopus_import":"1","intvolume":"       107","page":" 533 - 552","ddc":["510","539"],"_id":"1198","pubrep_id":"723","publisher":"Springer","isi":1,"date_updated":"2026-04-16T10:06:46Z","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","department":[{"_id":"RoSe"}],"publication_status":"published","external_id":{"isi":["000394280200007"]},"fulldoi":"https://doi.org/10.1007/s11005-016-0915-x","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"issue":"3","abstract":[{"text":"We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles.","lang":"eng"}],"publication_identifier":{"issn":["0377-9017"]},"doi":"10.1007/s11005-016-0915-x","status":"public","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","year":"2017","citation":{"ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3. Springer, pp. 533–552, 2017.","ista":"Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.","apa":"Moser, T., &#38; Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. 2017;107(3):533-552. doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.","mla":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>.","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>."},"month":"03","day":"01","type":"journal_article","file_date_updated":"2020-07-14T12:44:38Z"},{"volume":55,"quality_controlled":"1","author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics","publist_id":"4581","arxiv":1,"language":[{"iso":"eng"}],"date_published":"2001-02-01T00:00:00Z","publisher":"Springer","date_created":"2018-12-11T11:57:07Z","oa":1,"article_type":"original","_id":"2346","page":"133 - 142","scopus_import":"1","intvolume":"        55","publication":"Letters in Mathematical Physics","extern":"1","publication_status":"published","fulldoi":"https://doi.org/10.1023/A:1010951905548","external_id":{"arxiv":["cond-mat/0102118"]},"date_updated":"2023-05-30T12:44:05Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","article_processing_charge":"No","oa_version":"Published Version","month":"02","citation":{"ama":"Hainzl C, Seiringer R. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. <i>Letters in Mathematical Physics</i>. 2001;55(2):133-142. doi:<a href=\"https://doi.org/10.1023/A:1010951905548\">10.1023/A:1010951905548</a>","apa":"Hainzl, C., &#38; Seiringer, R. (2001). Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1023/A:1010951905548\">https://doi.org/10.1023/A:1010951905548</a>","ieee":"C. Hainzl and R. Seiringer, “Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics,” <i>Letters in Mathematical Physics</i>, vol. 55, no. 2. Springer, pp. 133–142, 2001.","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.","mla":"Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” <i>Letters in Mathematical Physics</i>, vol. 55, no. 2, Springer, 2001, pp. 133–42, doi:<a href=\"https://doi.org/10.1023/A:1010951905548\">10.1023/A:1010951905548</a>.","chicago":"Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” <i>Letters in Mathematical Physics</i>. Springer, 2001. <a href=\"https://doi.org/10.1023/A:1010951905548\">https://doi.org/10.1023/A:1010951905548</a>.","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142."},"type":"journal_article","day":"01","main_file_link":[{"url":"http://arxiv.org/abs/cond-mat/0102118","open_access":"1"}],"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."}],"issue":"2","year":"2001","status":"public","publication_identifier":{"issn":["0377-9017"]},"doi":"10.1023/A:1010951905548"},{"publisher":"Springer","intvolume":"        29","scopus_import":"1","extern":"1","publication":"Letters in Mathematical Physics","_id":"2723","page":"219 - 240","article_type":"original","date_created":"2018-12-11T11:59:16Z","title":"Ground-state density of the Pauli operator in the large field limit","author":[{"first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"}],"publist_id":"4169","volume":29,"quality_controlled":"1","date_published":"1993-11-01T00:00:00Z","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF00761110"}],"day":"01","type":"journal_article","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.","ama":"Erdös L. Ground-state density of the Pauli operator in the large field limit. <i>Letters in Mathematical Physics</i>. 1993;29(3):219-240. doi:<a href=\"https://doi.org/10.1007/BF00761110\">10.1007/BF00761110</a>","ieee":"L. Erdös, “Ground-state density of the Pauli operator in the large field limit,” <i>Letters in Mathematical Physics</i>, 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. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/BF00761110\">https://doi.org/10.1007/BF00761110</a>","mla":"Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” <i>Letters in Mathematical Physics</i>, vol. 29, no. 3, Springer, 1993, pp. 219–40, doi:<a href=\"https://doi.org/10.1007/BF00761110\">10.1007/BF00761110</a>.","chicago":"Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” <i>Letters in Mathematical Physics</i>. Springer, 1993. <a href=\"https://doi.org/10.1007/BF00761110\">https://doi.org/10.1007/BF00761110</a>.","short":"L. Erdös, Letters in Mathematical Physics 29 (1993) 219–240."},"month":"11","publication_identifier":{"issn":["0377-9017"]},"doi":"10.1007/BF00761110","year":"1993","status":"public","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. "}],"issue":"3","fulldoi":"https://doi.org/10.1007/BF00761110","publication_status":"published","oa_version":"None","article_processing_charge":"No","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","date_updated":"2022-03-30T15:02:00Z"}]