[{"ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"publication_status":"epub_ahead","month":"10","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1142/S0129055X2360005X"}],"oa_version":"Published Version","abstract":[{"text":"It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit.","lang":"eng"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"date_updated":"2023-11-20T10:04:38Z","status":"public","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)"},"_id":"14542","doi":"10.1142/s0129055x2360005x","date_published":"2023-10-31T00:00:00Z","date_created":"2023-11-15T23:48:14Z","day":"31","publication":"Reviews in Mathematical Physics","has_accepted_license":"1","year":"2023","quality_controlled":"1","publisher":"World Scientific Publishing","oa":1,"acknowledgement":"We thank Robert Seiringer for comments on the paper. J. H. gratefully acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond”No. 101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber I6427.","title":"Universality in low-dimensional BCS theory","author":[{"last_name":"Henheik","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha"},{"last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","first_name":"Asbjørn Bækgaard"},{"full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","last_name":"Roos","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"}],"article_processing_charge":"Yes (in subscription journal)","external_id":{"arxiv":["2301.05621"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics. World Scientific Publishing, 2023. https://doi.org/10.1142/s0129055x2360005x.","ista":"Henheik SJ, Lauritsen AB, Roos B. 2023. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics., 2360005.","mla":"Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics, 2360005, World Scientific Publishing, 2023, doi:10.1142/s0129055x2360005x.","short":"S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).","ieee":"S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” Reviews in Mathematical Physics. World Scientific Publishing, 2023.","apa":"Henheik, S. J., Lauritsen, A. B., & Roos, B. (2023). Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x2360005x","ama":"Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 2023. doi:10.1142/s0129055x2360005x"},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"article_number":"2360005 "},{"citation":{"mla":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:10.4171/JST/469.","ama":"Seiringer R. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 2023;13(3):1045-1055. doi:10.4171/JST/469","apa":"Seiringer, R. (2023). Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/469","short":"R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.","ieee":"R. Seiringer, “Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling,” Journal of Spectral Theory, vol. 13, no. 3. EMS Press, pp. 1045–1055, 2023.","chicago":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/469.","ista":"Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"arxiv":["2210.17123"]},"article_processing_charge":"Yes","title":"Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling","quality_controlled":"1","publisher":"EMS Press","oa":1,"has_accepted_license":"1","year":"2023","day":"25","publication":"Journal of Spectral Theory","page":"1045-1055","date_published":"2023-11-25T00:00:00Z","doi":"10.4171/JST/469","date_created":"2023-12-10T23:00:59Z","_id":"14662","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)"},"status":"public","date_updated":"2023-12-11T12:12:14Z","ddc":["510"],"file_date_updated":"2023-12-11T12:03:12Z","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We consider a class of polaron models, including the Fröhlich model, at zero total\r\nmomentum, and show that at sufficiently weak coupling there are no excited eigenvalues below\r\nthe essential spectrum."}],"oa_version":"None","scopus_import":"1","month":"11","intvolume":" 13","publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"publication_status":"published","file":[{"date_created":"2023-12-11T12:03:12Z","file_name":"2023_JST_Seiringer.pdf","creator":"dernst","date_updated":"2023-12-11T12:03:12Z","file_size":201513,"file_id":"14677","checksum":"9ce96ca87d56ea9a70d2eb9a32839f8d","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"volume":13,"issue":"3"},{"file_date_updated":"2023-11-14T13:12:12Z","department":[{"_id":"RoSe"}],"date_updated":"2023-12-13T11:31:14Z","ddc":["510"],"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","_id":"13225","ec_funded":1,"issue":"4","volume":247,"publication_status":"published","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"language":[{"iso":"eng"}],"file":[{"date_created":"2023-11-14T13:12:12Z","file_name":"2023_ArchiveRationalMechAnalysis_Benedikter.pdf","date_updated":"2023-11-14T13:12:12Z","file_size":851626,"creator":"dernst","checksum":"2b45828d854a253b14bf7aa196ec55e9","file_id":"14535","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"scopus_import":"1","intvolume":" 247","month":"08","abstract":[{"text":"Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only |⋅|V^∈ℓ1(Z3). Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy.","lang":"eng"}],"oa_version":"Published Version","external_id":{"arxiv":["2106.13185"],"isi":["001024369000001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Benedikter","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Porta, Marcello","last_name":"Porta","first_name":"Marcello"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Correlation energy of a weakly interacting Fermi gas with large interaction potential","citation":{"mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis, vol. 247, no. 4, 65, Springer Nature, 2023, doi:10.1007/s00205-023-01893-6.","short":"N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).","ieee":"N. P. Benedikter, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas with large interaction potential,” Archive for Rational Mechanics and Analysis, vol. 247, no. 4. Springer Nature, 2023.","ama":"Benedikter NP, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 2023;247(4). doi:10.1007/s00205-023-01893-6","apa":"Benedikter, N. P., Porta, M., Schlein, B., & Seiringer, R. (2023). Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01893-6","chicago":"Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01893-6.","ista":"Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 247(4), 65."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"65","date_created":"2023-07-16T22:01:08Z","date_published":"2023-08-01T00:00:00Z","doi":"10.1007/s00205-023-01893-6","year":"2023","isi":1,"has_accepted_license":"1","publication":"Archive for Rational Mechanics and Analysis","day":"01","oa":1,"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"RS was supported by the European Research Council under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227). MP acknowledges financial support from the European Research Council under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, Grant Agreement No. 802901). BS acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC AdG CLaQS (Grant Agreement No. 834782). NB and MP were supported by Gruppo Nazionale per la Fisica Matematica (GNFM) of Italy. NB was supported by the European Research Council’s Starting Grant FERMIMATH (Grant Agreement No. 101040991).\r\nOpen access funding provided by Università degli Studi di Milano within the CRUI-CARE Agreement."},{"date_created":"2023-07-16T22:01:08Z","date_published":"2023-07-03T00:00:00Z","doi":"10.1007/s11005-023-01698-4","publication":"Letters in Mathematical Physics","day":"03","year":"2023","isi":1,"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.","title":"Weak Edgeworth expansion for the mean-field Bose gas","external_id":{"arxiv":["2208.00199"],"isi":["001022878900002"]},"article_processing_charge":"Yes (via OA deal)","author":[{"orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat"}],"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.","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).","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","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"},"project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"article_number":"77","ec_funded":1,"volume":113,"issue":"4","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"intvolume":" 113","month":"07","scopus_import":"1","oa_version":"Published Version","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."}],"department":[{"_id":"RoSe"}],"date_updated":"2023-12-13T11:31:50Z","status":"public","article_type":"original","type":"journal_article","_id":"13226"},{"title":"On the global minimum of the energy–momentum relation for the polaron","author":[{"first_name":"Jonas","full_name":"Lampart, Jonas","last_name":"Lampart"},{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"},{"last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” Mathematical Physics, Analysis and Geometry, vol. 26, no. 3, 17, Springer Nature, 2023, doi:10.1007/s11040-023-09460-x.","apa":"Lampart, J., Mitrouskas, D. J., & Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-023-09460-x","ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 2023;26(3). doi:10.1007/s11040-023-09460-x","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023).","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” Mathematical Physics, Analysis and Geometry, vol. 26, no. 3. Springer Nature, 2023.","chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” Mathematical Physics, Analysis and Geometry. Springer Nature, 2023. https://doi.org/10.1007/s11040-023-09460-x.","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17."},"article_number":"17","date_published":"2023-07-26T00:00:00Z","doi":"10.1007/s11040-023-09460-x","date_created":"2023-08-22T14:09:47Z","day":"26","publication":"Mathematical Physics, Analysis and Geometry","isi":1,"has_accepted_license":"1","year":"2023","publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","file_date_updated":"2023-08-23T10:59:15Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-12-13T12:16:19Z","status":"public","keyword":["Geometry and Topology","Mathematical 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)"},"_id":"14192","issue":"3","volume":26,"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"14225","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","success":1,"creator":"dernst","date_updated":"2023-08-23T10:59:15Z","file_size":317026,"date_created":"2023-08-23T10:59:15Z","file_name":"2023_MathPhysics_Lampart.pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"publication_status":"published","month":"07","intvolume":" 26","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.","lang":"eng"}]},{"file_date_updated":"2024-01-02T08:45:07Z","department":[{"_id":"RoSe"}],"date_updated":"2024-01-02T08:51:28Z","ddc":["510"],"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)"},"type":"journal_article","article_type":"original","status":"public","_id":"14715","issue":"12","volume":64,"publication_status":"published","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"language":[{"iso":"eng"}],"file":[{"date_updated":"2024-01-02T08:45:07Z","file_size":4346922,"creator":"dernst","date_created":"2024-01-02T08:45:07Z","file_name":"2023_JourMathPhysics_Mitrouskas.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"66572f718a36465576cf0d6b3f7e01fc","file_id":"14722","success":1}],"scopus_import":"1","intvolume":" 64","month":"12","abstract":[{"text":"We consider N trapped bosons in the mean-field limit with coupling constant λN = 1/(N − 1). The ground state of such systems exhibits Bose–Einstein condensation. We prove that the probability of finding ℓ particles outside the condensate wave function decays exponentially in ℓ.","lang":"eng"}],"oa_version":"Published Version","external_id":{"arxiv":["2307.11062"]},"article_processing_charge":"Yes (in subscription journal)","author":[{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"}],"title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","citation":{"mla":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:10.1063/5.0172199.","ieee":"D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations in the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 64, no. 12. AIP Publishing, 2023.","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).","ama":"Mitrouskas DJ, Pickl P. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 2023;64(12). doi:10.1063/5.0172199","apa":"Mitrouskas, D. J., & Pickl, P. (2023). Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0172199","chicago":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2023. https://doi.org/10.1063/5.0172199.","ista":"Mitrouskas DJ, Pickl P. 2023. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 64(12), 121901."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"121901","date_created":"2023-12-31T23:01:02Z","doi":"10.1063/5.0172199","date_published":"2023-12-01T00:00:00Z","year":"2023","has_accepted_license":"1","publication":"Journal of Mathematical Physics","day":"01","oa":1,"publisher":"AIP Publishing","quality_controlled":"1","acknowledgement":"We thank Lea Boßmann, Phan Thành Nam and Simone Rademacher for helpful remarks. P.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Grant No. SFB/TRR 352 “Mathematics of Many-Body Quantum Systems and Their Collective Phenomena.”"},{"month":"12","intvolume":" 5","publisher":"Mathematical Sciences Publishers","quality_controlled":"1","oa_version":"None","abstract":[{"text":"\r\nAbstract\r\nWe study the spectrum of the Fröhlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum at strong coupling. In fact, our main result shows that the number of excited energy bands diverges in the strong coupling limit. To prove this we derive upper bounds for the min-max values of the corresponding fiber Hamiltonians and compare them with the bottom of the essential spectrum, a lower bound on which was recently obtained by Brooks and Seiringer (Comm. Math. Phys. 404:1 (2023), 287–337). The upper bounds are given in terms of the ground state energy band shifted by momentum-independent excitation energies determined by an effective Hamiltonian of Bogoliubov type.","lang":"eng"}],"volume":5,"date_published":"2023-12-15T00:00:00Z","doi":"10.2140/paa.2023.5.973","issue":"4","date_created":"2024-01-22T08:24:23Z","page":"973-1008","day":"15","publication":"Pure and Applied Analysis","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2578-5885","2578-5893"]},"publication_status":"published","year":"2023","status":"public","keyword":["General Medicine"],"article_type":"original","type":"journal_article","_id":"14854","title":"Ubiquity of bound states for the strongly coupled polaron","department":[{"_id":"RoSe"}],"author":[{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/paa.2023.5.973.","ista":"Mitrouskas DJ, Seiringer R. 2023. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 5(4), 973–1008.","mla":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:10.2140/paa.2023.5.973.","ama":"Mitrouskas DJ, Seiringer R. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 2023;5(4):973-1008. doi:10.2140/paa.2023.5.973","apa":"Mitrouskas, D. J., & Seiringer, R. (2023). Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2023.5.973","short":"D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.","ieee":"D. J. Mitrouskas and R. Seiringer, “Ubiquity of bound states for the strongly coupled polaron,” Pure and Applied Analysis, vol. 5, no. 4. Mathematical Sciences Publishers, pp. 973–1008, 2023."},"date_updated":"2024-01-23T12:55:12Z"},{"_id":"14254","status":"public","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)"},"ddc":["510"],"date_updated":"2024-01-30T14:17:23Z","file_date_updated":"2024-01-30T14:15:16Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","abstract":[{"text":"In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.","lang":"eng"}],"month":"11","intvolume":" 285","scopus_import":"1","file":[{"file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","date_created":"2024-01-30T14:15:16Z","creator":"dernst","file_size":232934,"date_updated":"2024-01-30T14:15:16Z","success":1,"file_id":"14915","checksum":"28e424ad91be6219e9d321054ce3a412","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"publication_status":"published","issue":"10","volume":285,"article_number":"110129","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” Journal of Functional Analysis, vol. 285, no. 10. Elsevier, 2023.","ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 2023;285(10). doi:10.1016/j.jfa.2023.110129","apa":"Seiringer, R., & Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.110129","mla":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis, vol. 285, no. 10, 110129, Elsevier, 2023, doi:10.1016/j.jfa.2023.110129.","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110129."},"title":"A simple approach to Lieb-Thirring type inequalities","author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"},{"last_name":"Solovej","full_name":"Solovej, Jan Philip","first_name":"Jan Philip"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2303.04504"],"isi":["001071552300001"]},"acknowledgement":"J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059).","quality_controlled":"1","publisher":"Elsevier","oa":1,"day":"15","publication":"Journal of Functional Analysis","isi":1,"has_accepted_license":"1","year":"2023","doi":"10.1016/j.jfa.2023.110129","date_published":"2023-11-15T00:00:00Z","date_created":"2023-09-03T22:01:14Z"},{"edition":"1","oa":1,"quality_controlled":"1","publisher":"Springer","year":"2023","publication":"Density Functional Theory","day":"19","page":"115-182","date_created":"2024-02-14T14:44:33Z","date_published":"2023-07-19T00:00:00Z","doi":"10.1007/978-3-031-22340-2_3","citation":{"ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Universal Functionals in Density Functional Theory,” in Density Functional Theory, 1st ed., E. Cances and G. Friesecke, Eds. Springer, 2023, pp. 115–182.","short":"M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2023). Universal Functionals in Density Functional Theory. In E. Cances & G. Friesecke (Eds.), Density Functional Theory (1st ed., pp. 115–182). Springer. https://doi.org/10.1007/978-3-031-22340-2_3","ama":"Lewin M, Lieb EH, Seiringer R. Universal Functionals in Density Functional Theory. In: Cances E, Friesecke G, eds. Density Functional Theory. 1st ed. MAMOMO. Springer; 2023:115-182. doi:10.1007/978-3-031-22340-2_3","mla":"Lewin, Mathieu, et al. “Universal Functionals in Density Functional Theory.” Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., Springer, 2023, pp. 115–82, doi:10.1007/978-3-031-22340-2_3.","ista":"Lewin M, Lieb EH, Seiringer R. 2023.Universal Functionals in Density Functional Theory. In: Density Functional Theory. Mathematics and Molecular Modeling, , 115–182.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Universal Functionals in Density Functional Theory.” In Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., 115–82. MAMOMO. Springer, 2023. https://doi.org/10.1007/978-3-031-22340-2_3."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","external_id":{"arxiv":["1912.10424"]},"author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Universal Functionals in Density Functional Theory","editor":[{"full_name":"Cances, Eric","last_name":"Cances","first_name":"Eric"},{"full_name":"Friesecke, Gero","last_name":"Friesecke","first_name":"Gero"}],"abstract":[{"text":"In this chapter we first review the Levy–Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given density. We discuss two possible convex generalizations of this functional, corresponding to using mixed canonical and grand-canonical states, respectively. We present some recent works about the local density approximation, in which the functionals get replaced by purely local functionals constructed using the uniform electron gas energy per unit volume. We then review the known upper and lower bounds on the Levy–Lieb functionals. We start with the kinetic energy alone, then turn to the classical interaction alone, before we are able to put everything together. A later section is devoted to the Hohenberg–Kohn theorem and the role of many-body unique continuation in its proof.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.10424","open_access":"1"}],"alternative_title":["Mathematics and Molecular Modeling"],"month":"07","publication_status":"published","publication_identifier":{"issn":["3005-0286"],"isbn":["9783031223396"],"eisbn":["9783031223402"]},"language":[{"iso":"eng"}],"_id":"14992","series_title":"MAMOMO","type":"book_chapter","status":"public","date_updated":"2024-02-20T08:33:06Z","department":[{"_id":"RoSe"}]},{"status":"public","keyword":["General Medicine"],"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":"12276","department":[{"_id":"MaSe"},{"_id":"RoSe"}],"file_date_updated":"2023-01-30T11:02:50Z","ddc":["530"],"date_updated":"2023-01-30T11:05:23Z","month":"09","intvolume":" 3","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of nontrivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPSs). We compare counterdiabatic and leakage minimization approaches to the so-called local steering problem that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counterdiabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally, we apply our leakage minimization approach to construct quantum scars in the periodically driven nonintegrable Ising model.","lang":"eng"}],"issue":"3","volume":3,"ec_funded":1,"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"ef8f0a1b5a019b3958009162de0fa4c3","file_id":"12457","file_size":7661905,"date_updated":"2023-01-30T11:02:50Z","creator":"dernst","file_name":"2022_PRXQuantum_Ljubotina.pdf","date_created":"2023-01-30T11:02:50Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2691-3399"]},"publication_status":"published","project":[{"call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","grant_number":"850899","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control"}],"article_number":"030343","title":"Optimal steering of matrix product states and quantum many-body scars","author":[{"id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","first_name":"Marko","full_name":"Ljubotina, Marko","last_name":"Ljubotina"},{"orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara","last_name":"Roos","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"},{"last_name":"Abanin","full_name":"Abanin, Dmitry A.","first_name":"Dmitry A."},{"last_name":"Serbyn","orcid":"0000-0002-2399-5827","full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","first_name":"Maksym"}],"article_processing_charge":"No","external_id":{"arxiv":["2204.02899"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix product states and quantum many-body scars,” PRX Quantum, vol. 3, no. 3. American Physical Society, 2022.","short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).","apa":"Ljubotina, M., Roos, B., Abanin, D. A., & Serbyn, M. (2022). Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. American Physical Society. https://doi.org/10.1103/prxquantum.3.030343","ama":"Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 2022;3(3). doi:10.1103/prxquantum.3.030343","mla":"Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” PRX Quantum, vol. 3, no. 3, 030343, American Physical Society, 2022, doi:10.1103/prxquantum.3.030343.","ista":"Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 3(3), 030343.","chicago":"Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” PRX Quantum. American Physical Society, 2022. https://doi.org/10.1103/prxquantum.3.030343."},"quality_controlled":"1","publisher":"American Physical Society","oa":1,"acknowledgement":"We thank A. A. Michailidis for insightful discussions. M.L. and M.S. acknowledge support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). D.A. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and by the Swiss National Science Foundation. The infinite TEBD simulations were performed using the ITensor library [67].","doi":"10.1103/prxquantum.3.030343","date_published":"2022-09-23T00:00:00Z","date_created":"2023-01-16T10:01:56Z","day":"23","publication":"PRX Quantum","has_accepted_license":"1","year":"2022"}]