[{"department":[{"_id":"RoSe"}],"has_accepted_license":"1","date_created":"2023-12-31T23:01:02Z","file":[{"file_size":4346922,"file_name":"2023_JourMathPhysics_Mitrouskas.pdf","checksum":"66572f718a36465576cf0d6b3f7e01fc","date_created":"2024-01-02T08:45:07Z","access_level":"open_access","date_updated":"2024-01-02T08:45:07Z","success":1,"relation":"main_file","content_type":"application/pdf","file_id":"14722","creator":"dernst"}],"date_published":"2023-12-01T00:00:00Z","article_type":"original","month":"12","language":[{"iso":"eng"}],"publisher":"AIP Publishing","scopus_import":"1","file_date_updated":"2024-01-02T08:45:07Z","issue":"12","publication":"Journal of Mathematical Physics","type":"journal_article","day":"01","status":"public","intvolume":"        64","article_number":"121901","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510"],"year":"2023","doi":"10.1063/5.0172199","external_id":{"arxiv":["2307.11062"]},"title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","oa":1,"volume":64,"date_updated":"2024-01-02T08:51:28Z","article_processing_charge":"Yes (in subscription journal)","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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.”","quality_controlled":"1","oa_version":"Published Version","_id":"14715","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"publication_status":"published","citation":{"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.","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. <i>Journal of Mathematical Physics</i>. 2023;64(12). doi:<a href=\"https://doi.org/10.1063/5.0172199\">10.1063/5.0172199</a>","mla":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:<a href=\"https://doi.org/10.1063/5.0172199\">10.1063/5.0172199</a>.","chicago":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2023. <a href=\"https://doi.org/10.1063/5.0172199\">https://doi.org/10.1063/5.0172199</a>.","apa":"Mitrouskas, D. J., &#38; Pickl, P. (2023). Exponential decay of the number of excitations in the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0172199\">https://doi.org/10.1063/5.0172199</a>","ieee":"D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations in the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 64, no. 12. AIP Publishing, 2023."},"author":[{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"}],"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"}]},{"ddc":["530"],"isi":1,"article_number":"061102","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"ec_funded":1,"doi":"10.1063/5.0089983","year":"2022","acknowledgement":"The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from the European Union’s Horizon 2020 Research and Innovation Programme under Marie Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged.","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Published Version","project":[{"grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","_id":"11783","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"volume":63,"oa":1,"date_updated":"2023-08-03T12:46:28Z","article_processing_charge":"Yes (via OA deal)","arxiv":1,"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"author":[{"orcid":"0000-0002-6854-1343","last_name":"Bossmann","full_name":"Bossmann, Lea","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"}],"abstract":[{"text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix.","lang":"eng"}],"publication_status":"published","citation":{"chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>.","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6. AIP Publishing, 2022.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102.","ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2022;63(6). doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>."},"file":[{"success":1,"content_type":"application/pdf","relation":"main_file","file_id":"11784","creator":"dernst","file_name":"2022_JourMathPhysics_Bossmann.pdf","file_size":5957888,"date_created":"2022-08-11T07:03:02Z","checksum":"d0d32c338c1896680174be88c70968fa","date_updated":"2022-08-11T07:03:02Z","access_level":"open_access"}],"date_created":"2022-08-11T06:37:52Z","department":[{"_id":"RoSe"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"publisher":"AIP Publishing","scopus_import":"1","date_published":"2022-06-10T00:00:00Z","article_type":"original","month":"06","file_date_updated":"2022-08-11T07:03:02Z","issue":"6","publication":"Journal of Mathematical Physics","status":"public","intvolume":"        63","type":"journal_article","day":"10"},{"day":"03","type":"journal_article","intvolume":"        63","status":"public","publication":"Journal of Mathematical Physics","issue":"1","month":"01","date_published":"2022-01-03T00:00:00Z","article_type":"original","publisher":"AIP Publishing","language":[{"iso":"eng"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"date_created":"2022-01-03T12:19:48Z","citation":{"ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. 2022;63(1). doi:<a href=\"https://doi.org/10.1063/5.0051632\">10.1063/5.0051632</a>","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 1, 011901, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0051632\">10.1063/5.0051632</a>.","ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. Journal of Mathematical Physics. 63(1), 011901.","short":"S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).","apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0051632\">https://doi.org/10.1063/5.0051632</a>","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 1. AIP Publishing, 2022.","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0051632\">https://doi.org/10.1063/5.0051632</a>."},"publication_status":"published","abstract":[{"lang":"eng","text":"We show that recent results on adiabatic theory for interacting gapped many-body systems on finite lattices remain valid in the thermodynamic limit. More precisely, we prove a generalized super-adiabatic theorem for the automorphism group describing the infinite volume dynamics on the quasi-local algebra of observables. The key assumption is the existence of a sequence of gapped finite volume Hamiltonians, which generates the same infinite volume dynamics in the thermodynamic limit. Our adiabatic theorem also holds for certain perturbations of gapped ground states that close the spectral gap (so it is also an adiabatic theorem for resonances and, in this sense, “generalized”), and it provides an adiabatic approximation to all orders in the adiabatic parameter (a property often called “super-adiabatic”). In addition to the existing results for finite lattices, we also perform a resummation of the adiabatic expansion and allow for observables that are not strictly local. Finally, as an application, we prove the validity of linear and higher order response theory for our class of perturbations for infinite systems. While we consider the result and its proof as new and interesting in itself, we also lay the foundation for the proof of an adiabatic theorem for systems with a gap only in the bulk, which will be presented in a follow-up article."}],"keyword":["mathematical physics","statistical and nonlinear physics"],"author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","last_name":"Henheik","first_name":"Sven Joscha"},{"first_name":"Stefan","full_name":"Teufel, Stefan","last_name":"Teufel"}],"arxiv":1,"article_processing_charge":"No","volume":63,"oa":1,"date_updated":"2023-08-02T13:44:32Z","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"_id":"10600","project":[{"grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"quality_controlled":"1","oa_version":"Preprint","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","acknowledgement":"J.H. acknowledges partial financial support from ERC Advanced Grant “RMTBeyond” No. 101020331.","year":"2022","doi":"10.1063/5.0051632","ec_funded":1,"title":"Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap","external_id":{"isi":["000739446000009"],"arxiv":["2012.15238"]},"isi":1,"article_number":"011901","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2012.15238"}]},{"publication_identifier":{"issn":["0022-2488"]},"_id":"12083","oa_version":"Published Version","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"quality_controlled":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","acknowledgement":"S.R. would like to thank Robert Seiringer and Benedikt Stufler for helpful discussions. Funding from the European Union’s Horizon 2020 Research and Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.","arxiv":1,"article_processing_charge":"No","date_updated":"2023-08-03T13:57:19Z","volume":63,"oa":1,"abstract":[{"lang":"eng","text":"We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem."}],"author":[{"orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"}],"citation":{"ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8. AIP Publishing, 2022.","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>","chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>.","ama":"Rademacher SAE. Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. 2022;63(8). doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>","mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>.","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022)."},"publication_status":"published","ddc":["510"],"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"isi":1,"article_number":"081902","title":"Dependent random variables in quantum dynamics","external_id":{"isi":["000844402500001"],"arxiv":["2112.04817"]},"year":"2022","doi":"10.1063/5.0086712","ec_funded":1,"publication":"Journal of Mathematical Physics","issue":"8","file_date_updated":"2022-09-12T07:35:34Z","intvolume":"        63","status":"public","day":"25","type":"journal_article","date_created":"2022-09-11T22:01:56Z","file":[{"success":1,"creator":"dernst","file_id":"12089","content_type":"application/pdf","relation":"main_file","date_created":"2022-09-12T07:35:34Z","checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","file_name":"2022_JourMathPhysics_Rademacher.pdf","file_size":4552261,"date_updated":"2022-09-12T07:35:34Z","access_level":"open_access"}],"has_accepted_license":"1","department":[{"_id":"RoSe"}],"scopus_import":"1","publisher":"AIP Publishing","language":[{"iso":"eng"}],"month":"08","date_published":"2022-08-25T00:00:00Z","article_type":"original"},{"status":"public","intvolume":"        63","type":"journal_article","day":"01","file_date_updated":"2023-01-20T11:58:59Z","issue":"12","publication":"Journal of Mathematical Physics","language":[{"iso":"eng"}],"publisher":"AIP Publishing","scopus_import":"1","date_published":"2022-12-01T00:00:00Z","article_type":"original","month":"12","date_created":"2023-01-08T23:00:53Z","file":[{"date_updated":"2023-01-20T11:58:59Z","access_level":"open_access","date_created":"2023-01-20T11:58:59Z","checksum":"5150287295e0ce4f12462c990744d65d","file_name":"2022_JourMathPhysics_Henheik.pdf","file_size":5436804,"creator":"dernst","file_id":"12327","content_type":"application/pdf","relation":"main_file","success":1}],"department":[{"_id":"LaEr"}],"has_accepted_license":"1","author":[{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"},{"first_name":"Roderich","last_name":"Tumulka","full_name":"Tumulka, Roderich"}],"abstract":[{"text":"A recently proposed approach for avoiding the ultraviolet divergence of Hamiltonians with particle creation is based on interior-boundary conditions (IBCs). The approach works well in the non-relativistic case, i.e., for the Laplacian operator. Here, we study how the approach can be applied to Dirac operators. While this has successfully been done already in one space dimension, and more generally for codimension-1 boundaries, the situation of point sources in three dimensions corresponds to a codimension-3 boundary. One would expect that, for such a boundary, Dirac operators do not allow for boundary conditions because they are known not to allow for point interactions in 3D, which also correspond to a boundary condition. Indeed, we confirm this expectation here by proving that there is no self-adjoint operator on a (truncated) Fock space that would correspond to a Dirac operator with an IBC at configurations with a particle at the origin. However, we also present a positive result showing that there are self-adjoint operators with an IBC (on the boundary consisting of configurations with a particle at the origin) that are away from those configurations, given by a Dirac operator plus a sufficiently strong Coulomb potential.","lang":"eng"}],"publication_status":"published","citation":{"chicago":"Henheik, Sven Joscha, and Roderich Tumulka. “Interior-Boundary Conditions for the Dirac Equation at Point Sources in Three Dimensions.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0104675\">https://doi.org/10.1063/5.0104675</a>.","ieee":"S. J. Henheik and R. Tumulka, “Interior-boundary conditions for the Dirac equation at point sources in three dimensions,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12. AIP Publishing, 2022.","apa":"Henheik, S. J., &#38; Tumulka, R. (2022). Interior-boundary conditions for the Dirac equation at point sources in three dimensions. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0104675\">https://doi.org/10.1063/5.0104675</a>","short":"S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).","ista":"Henheik SJ, Tumulka R. 2022. Interior-boundary conditions for the Dirac equation at point sources in three dimensions. Journal of Mathematical Physics. 63(12), 122302.","mla":"Henheik, Sven Joscha, and Roderich Tumulka. “Interior-Boundary Conditions for the Dirac Equation at Point Sources in Three Dimensions.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12, 122302, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0104675\">10.1063/5.0104675</a>.","ama":"Henheik SJ, Tumulka R. Interior-boundary conditions for the Dirac equation at point sources in three dimensions. <i>Journal of Mathematical Physics</i>. 2022;63(12). doi:<a href=\"https://doi.org/10.1063/5.0104675\">10.1063/5.0104675</a>"},"acknowledgement":"J.H. gratefully acknowledges the partial financial support by the ERC Advanced Grant “RMTBeyond” under Grant No. 101020331.\r\n","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Published Version","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"}],"quality_controlled":"1","_id":"12110","publication_identifier":{"issn":["0022-2488"]},"oa":1,"volume":63,"date_updated":"2023-08-03T14:12:01Z","article_processing_charge":"No","external_id":{"isi":["000900748900002"]},"title":"Interior-boundary conditions for the Dirac equation at point sources in three dimensions","ec_funded":1,"doi":"10.1063/5.0104675","year":"2022","ddc":["510"],"article_number":"122302","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"}},{"author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha"},{"last_name":"Wessel","full_name":"Wessel, Tom","first_name":"Tom"}],"abstract":[{"lang":"eng","text":"We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic theorems for extended but finite and infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this Review is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs."}],"citation":{"ama":"Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems. <i>Journal of Mathematical Physics</i>. 2022;63(12). doi:<a href=\"https://doi.org/10.1063/5.0123441\">10.1063/5.0123441</a>","mla":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12, 121101, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0123441\">10.1063/5.0123441</a>.","short":"S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).","ista":"Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 63(12), 121101.","apa":"Henheik, S. J., &#38; Wessel, T. (2022). On adiabatic theory for extended fermionic lattice systems. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0123441\">https://doi.org/10.1063/5.0123441</a>","ieee":"S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice systems,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12. AIP Publishing, 2022.","chicago":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0123441\">https://doi.org/10.1063/5.0123441</a>."},"publication_status":"published","oa_version":"Published Version","quality_controlled":"1","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"}],"acknowledgement":"It is a pleasure to thank Stefan Teufel for numerous interesting discussions, fruitful collaboration, and many helpful comments on an earlier version of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges financial support from the DFG research unit FOR 5413 “Long-range interacting quantum spin systems out of equilibrium: Experiment, Theory and Mathematics.\" ","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_identifier":{"issn":["0022-2488"]},"_id":"12184","article_processing_charge":"No","volume":63,"oa":1,"date_updated":"2023-08-04T09:14:57Z","arxiv":1,"title":"On adiabatic theory for extended fermionic lattice systems","external_id":{"arxiv":["2208.12220"],"isi":["000905776200001"]},"ec_funded":1,"year":"2022","doi":"10.1063/5.0123441","ddc":["510"],"article_number":"121101","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","intvolume":"        63","type":"journal_article","day":"01","file_date_updated":"2023-01-27T07:10:52Z","publication":"Journal of Mathematical Physics","issue":"12","language":[{"iso":"eng"}],"scopus_import":"1","publisher":"AIP Publishing","article_type":"original","date_published":"2022-12-01T00:00:00Z","month":"12","date_created":"2023-01-15T23:00:52Z","file":[{"creator":"dernst","file_id":"12410","relation":"main_file","content_type":"application/pdf","success":1,"access_level":"open_access","date_updated":"2023-01-27T07:10:52Z","checksum":"213b93750080460718c050e4967cfdb4","date_created":"2023-01-27T07:10:52Z","file_size":5251092,"file_name":"2022_JourMathPhysics_Henheik2.pdf"}],"department":[{"_id":"LaEr"}],"has_accepted_license":"1"},{"department":[{"_id":"LaEr"}],"has_accepted_license":"1","date_created":"2023-01-16T09:52:58Z","file":[{"date_updated":"2023-01-30T08:01:10Z","access_level":"open_access","date_created":"2023-01-30T08:01:10Z","checksum":"2db278ae5b07f345a7e3fec1f92b5c33","file_name":"2022_JourMathPhysics_Cipolloni2.pdf","file_size":7356807,"creator":"dernst","file_id":"12436","content_type":"application/pdf","relation":"main_file","success":1}],"date_published":"2022-10-14T00:00:00Z","article_type":"original","month":"10","language":[{"iso":"eng"}],"scopus_import":"1","publisher":"AIP Publishing","file_date_updated":"2023-01-30T08:01:10Z","publication":"Journal of Mathematical Physics","issue":"10","type":"journal_article","day":"14","status":"public","intvolume":"        63","article_number":"103303","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510","530"],"ec_funded":1,"doi":"10.1063/5.0104290","year":"2022","title":"Directional extremal statistics for Ginibre eigenvalues","external_id":{"arxiv":["2206.04443"],"isi":["000869715800001"]},"article_processing_charge":"Yes (via OA deal)","volume":63,"oa":1,"date_updated":"2023-08-04T09:40:02Z","arxiv":1,"quality_controlled":"1","oa_version":"Published Version","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","acknowledgement":"The authors are grateful to G. Akemann for bringing Refs. 19 and 24–26 to their attention. Discussions with Guillaume Dubach on a preliminary version of this project are acknowledged.\r\nL.E. and Y.X. were supported by the ERC Advanced Grant “RMTBeyond” under Grant No. 101020331. D.S. was supported by Dr. Max Rössler, the Walter Haefner Foundation, and the ETH Zürich Foundation.","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"_id":"12243","citation":{"ista":"Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2022. Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics. 63(10), 103303.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).","mla":"Cipolloni, Giorgio, et al. “Directional Extremal Statistics for Ginibre Eigenvalues.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 10, 103303, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0104290\">10.1063/5.0104290</a>.","ama":"Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for Ginibre eigenvalues. <i>Journal of Mathematical Physics</i>. 2022;63(10). doi:<a href=\"https://doi.org/10.1063/5.0104290\">10.1063/5.0104290</a>","chicago":"Cipolloni, Giorgio, László Erdös, Dominik J Schröder, and Yuanyuan Xu. “Directional Extremal Statistics for Ginibre Eigenvalues.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0104290\">https://doi.org/10.1063/5.0104290</a>.","ieee":"G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “Directional extremal statistics for Ginibre eigenvalues,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 10. AIP Publishing, 2022.","apa":"Cipolloni, G., Erdös, L., Schröder, D. J., &#38; Xu, Y. (2022). Directional extremal statistics for Ginibre eigenvalues. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0104290\">https://doi.org/10.1063/5.0104290</a>"},"publication_status":"published","author":[{"first_name":"Giorgio","orcid":"0000-0002-4901-7992","last_name":"Cipolloni","full_name":"Cipolloni, Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","last_name":"Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik J","full_name":"Schröder, Dominik J","last_name":"Schröder","orcid":"0000-0002-2904-1856"},{"first_name":"Yuanyuan","last_name":"Xu","full_name":"Xu, Yuanyuan","id":"7902bdb1-a2a4-11eb-a164-c9216f71aea3"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"abstract":[{"lang":"eng","text":"We consider the eigenvalues of a large dimensional real or complex Ginibre matrix in the region of the complex plane where their real parts reach their maximum value. This maximum follows the Gumbel distribution and that these extreme eigenvalues form a Poisson point process as the dimension asymptotically tends to infinity. In the complex case, these facts have already been established by Bender [Probab. Theory Relat. Fields 147, 241 (2010)] and in the real case by Akemann and Phillips [J. Stat. Phys. 155, 421 (2014)] even for the more general elliptic ensemble with a sophisticated saddle point analysis. The purpose of this article is to give a very short direct proof in the Ginibre case with an effective error term. Moreover, our estimates on the correlation kernel in this regime serve as a key input for accurately locating [Formula: see text] for any large matrix X with i.i.d. entries in the companion paper [G. Cipolloni et al., arXiv:2206.04448 (2022)]. "}]},{"article_processing_charge":"No","volume":62,"oa":1,"date_updated":"2023-08-11T10:29:48Z","arxiv":1,"quality_controlled":"1","oa_version":"Published Version","acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes.","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"_id":"9891","citation":{"ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. 2021;62(8). doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>","mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>.","ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305.","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8. AIP Publishing, 2021.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2021. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>."},"publication_status":"published","author":[{"first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"abstract":[{"lang":"eng","text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations."}],"article_number":"083305","isi":1,"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["530"],"doi":"10.1063/5.0053494","year":"2021","title":"Floating Wigner crystal and periodic jellium configurations","external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"file_date_updated":"2021-10-27T12:57:06Z","publication":"Journal of Mathematical Physics","issue":"8","type":"journal_article","day":"01","status":"public","intvolume":"        62","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"has_accepted_license":"1","date_created":"2021-08-12T07:08:36Z","file":[{"checksum":"d035be2b894c4d50d90ac5ce252e27cd","date_created":"2021-10-27T12:57:06Z","file_size":4352640,"file_name":"2021_JMathPhy_Lauritsen.pdf","access_level":"open_access","date_updated":"2021-10-27T12:57:06Z","success":1,"creator":"cziletti","file_id":"10188","relation":"main_file","content_type":"application/pdf"}],"date_published":"2021-08-01T00:00:00Z","article_type":"original","month":"08","language":[{"iso":"eng"}],"scopus_import":"1","publisher":"AIP Publishing"},{"language":[{"iso":"eng"}],"publisher":"American Institute of Physics","scopus_import":"1","article_type":"original","date_published":"1997-03-01T00:00:00Z","month":"03","date_created":"2018-12-11T11:59:17Z","status":"public","intvolume":"        38","type":"journal_article","day":"01","page":"1289 - 1317","issue":"3","publication":"Journal of Mathematical Physics","title":"Dia- and paramagnetism for nonhomogeneous magnetic fields","doi":"10.1063/1.531909","year":"1997","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"Erdös, László","last_name":"Erdös","orcid":"0000-0001-5366-9603"}],"abstract":[{"lang":"eng","text":"Diamagnetism of the magnetic Schrödinger operator and paramagnetism of the Pauli operator are rigorously proven for nonhomogeneous magnetic fields in the large field, in the large temperature and in the semiclassical asymptotic regimes. New counterexamples are presented which show that neither dia-nor paramagnetism is true in a robust sense (without asymptotics). In particular, we demonstrate that the recent diamagnetic comparison result by Loss and Thaller [M. Loss and B. Thaller, Commun. Math. Phys. (submitted)] is essentially the best one can hope for."}],"publication_status":"published","citation":{"ama":"Erdös L. Dia- and paramagnetism for nonhomogeneous magnetic fields. <i>Journal of Mathematical Physics</i>. 1997;38(3):1289-1317. doi:<a href=\"https://doi.org/10.1063/1.531909\">10.1063/1.531909</a>","mla":"Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.” <i>Journal of Mathematical Physics</i>, vol. 38, no. 3, American Institute of Physics, 1997, pp. 1289–317, doi:<a href=\"https://doi.org/10.1063/1.531909\">10.1063/1.531909</a>.","ista":"Erdös L. 1997. Dia- and paramagnetism for nonhomogeneous magnetic fields. Journal of Mathematical Physics. 38(3), 1289–1317.","short":"L. Erdös, Journal of Mathematical Physics 38 (1997) 1289–1317.","apa":"Erdös, L. (1997). Dia- and paramagnetism for nonhomogeneous magnetic fields. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.531909\">https://doi.org/10.1063/1.531909</a>","ieee":"L. Erdös, “Dia- and paramagnetism for nonhomogeneous magnetic fields,” <i>Journal of Mathematical Physics</i>, vol. 38, no. 3. American Institute of Physics, pp. 1289–1317, 1997.","chicago":"Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 1997. <a href=\"https://doi.org/10.1063/1.531909\">https://doi.org/10.1063/1.531909</a>."},"acknowledgement":"This work was started in the stimulating environment and with the financial support of the PCMI Summer School on Probability Theory ~IAS Princeton, 1996!. The author also expresses his gratitude to M. Loss and B. Thaller for explaining their paper to him.","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","quality_controlled":"1","oa_version":"None","_id":"2727","publication_identifier":{"issn":["0022-2488"]},"extern":"1","date_updated":"2022-08-22T09:48:50Z","publist_id":"4165","volume":38,"article_processing_charge":"No"}]