--- _id: '13317' abstract: - lang: eng text: We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with L-body interactions, where L is the number of spins. This mathematically verifies the observation first made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130) that the ETH may hold for systems with additional translational symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interaction. acknowledgement: "LE, JH, and VR were supported by ERC Advanced Grant “RMTBeyond” No. 101020331. SS was supported by KAKENHI Grant Number JP22J14935 from the Japan Society for the Promotion of Science (JSPS) and Forefront Physics and Mathematics Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study (WINGS) Program, the University of Tokyo.\r\nOpen access funding provided by The University of Tokyo." article_number: '128' article_processing_charge: Yes (in subscription journal) article_type: original author: - first_name: Shoki full_name: Sugimoto, Shoki last_name: Sugimoto - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Volodymyr full_name: Riabov, Volodymyr id: 1949f904-edfb-11eb-afb5-e2dfddabb93b last_name: Riabov - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 citation: ama: Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 2023;190(7). doi:10.1007/s10955-023-03132-4 apa: Sugimoto, S., Henheik, S. J., Riabov, V., & Erdös, L. (2023). Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-023-03132-4 chicago: Sugimoto, Shoki, Sven Joscha Henheik, Volodymyr Riabov, and László Erdös. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” Journal of Statistical Physics. Springer Nature, 2023. https://doi.org/10.1007/s10955-023-03132-4. ieee: S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation hypothesis for translation invariant spin systems,” Journal of Statistical Physics, vol. 190, no. 7. Springer Nature, 2023. ista: Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 190(7), 128. mla: Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” Journal of Statistical Physics, vol. 190, no. 7, 128, Springer Nature, 2023, doi:10.1007/s10955-023-03132-4. short: S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023). date_created: 2023-07-30T22:01:02Z date_published: 2023-07-21T00:00:00Z date_updated: 2023-12-13T11:38:44Z day: '21' ddc: - '510' - '530' department: - _id: LaEr doi: 10.1007/s10955-023-03132-4 ec_funded: 1 external_id: arxiv: - '2304.04213' isi: - '001035677200002' file: - access_level: open_access checksum: c2ef6b2aecfee1ad6d03fab620507c2c content_type: application/pdf creator: dernst date_created: 2023-07-31T07:49:31Z date_updated: 2023-07-31T07:49:31Z file_id: '13325' file_name: 2023_JourStatPhysics_Sugimoto.pdf file_size: 612755 relation: main_file success: 1 file_date_updated: 2023-07-31T07:49:31Z has_accepted_license: '1' intvolume: ' 190' isi: 1 issue: '7' language: - iso: eng month: '07' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Eigenstate thermalisation hypothesis for translation invariant spin systems 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) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 190 year: '2023' ... --- _id: '11917' abstract: - lang: eng text: We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order. acknowledgement: "The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria." article_number: '9' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Simone Anna Elvira full_name: Rademacher, Simone Anna Elvira id: 856966FE-A408-11E9-977E-802DE6697425 last_name: Rademacher orcid: 0000-0001-5059-4466 - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4 apa: Rademacher, S. A. E., & Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02940-4 chicago: Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4. ieee: S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” Journal of Statistical Physics, vol. 188. Springer Nature, 2022. ista: Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9. mla: Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188, 9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4. short: S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022). date_created: 2022-08-18T07:23:26Z date_published: 2022-07-01T00:00:00Z date_updated: 2023-08-03T12:55:58Z day: '01' ddc: - '510' department: - _id: RoSe doi: 10.1007/s10955-022-02940-4 ec_funded: 1 external_id: isi: - '000805175000001' file: - access_level: open_access checksum: 44418cb44f07fa21ed3907f85abf7f39 content_type: application/pdf creator: dernst date_created: 2022-08-18T08:09:00Z date_updated: 2022-08-18T08:09:00Z file_id: '11922' file_name: 2022_JournalStatisticalPhysics_Rademacher.pdf file_size: 483481 relation: main_file success: 1 file_date_updated: 2022-08-18T08:09:00Z has_accepted_license: '1' intvolume: ' 188' isi: 1 keyword: - Mathematical Physics - Statistical and Nonlinear Physics language: - iso: eng month: '07' oa: 1 oa_version: Published Version project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Large deviation estimates for weakly interacting bosons 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) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 188 year: '2022' ... --- _id: '11732' abstract: - lang: eng text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature. acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)" article_number: '5' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Asbjørn Bækgaard full_name: Lauritsen, Asbjørn Bækgaard id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1 last_name: Lauritsen orcid: 0000-0003-4476-2288 citation: ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9 apa: Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9 chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9. ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022. ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5. mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9. short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022). date_created: 2022-08-05T11:36:56Z date_published: 2022-07-29T00:00:00Z date_updated: 2023-09-05T14:57:49Z day: '29' ddc: - '530' department: - _id: GradSch - _id: LaEr - _id: RoSe doi: 10.1007/s10955-022-02965-9 ec_funded: 1 external_id: isi: - '000833007200002' file: - access_level: open_access checksum: b398c4dbf65f71d417981d6e366427e9 content_type: application/pdf creator: dernst date_created: 2022-08-08T07:36:34Z date_updated: 2022-08-08T07:36:34Z file_id: '11746' file_name: 2022_JourStatisticalPhysics_Henheik.pdf file_size: 419563 relation: main_file success: 1 file_date_updated: 2022-08-08T07:36:34Z has_accepted_license: '1' intvolume: ' 189' isi: 1 keyword: - Mathematical Physics - Statistical and Nonlinear Physics language: - iso: eng month: '07' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: The BCS energy gap at high density 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) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 189 year: '2022' ... --- _id: '10564' abstract: - lang: eng text: We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass. acknowledgement: Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria). article_number: '5' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Krzysztof full_name: Mysliwy, Krzysztof id: 316457FC-F248-11E8-B48F-1D18A9856A87 last_name: Mysliwy - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 2022;186(1). doi:10.1007/s10955-021-02851-w apa: Mysliwy, K., & Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-021-02851-w chicago: Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w. ieee: K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” Journal of Statistical Physics, vol. 186, no. 1. Springer Nature, 2022. ista: Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5. mla: Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5, Springer Nature, 2022, doi:10.1007/s10955-021-02851-w. short: K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022). date_created: 2021-12-19T23:01:32Z date_published: 2022-01-01T00:00:00Z date_updated: 2023-09-07T13:43:51Z day: '01' ddc: - '530' department: - _id: RoSe doi: 10.1007/s10955-021-02851-w ec_funded: 1 external_id: arxiv: - '2106.09328' isi: - '000726275600001' file: - access_level: open_access checksum: da03f6d293c4b9802091bce9471b1d29 content_type: application/pdf creator: cchlebak date_created: 2022-02-02T14:24:41Z date_updated: 2022-02-02T14:24:41Z file_id: '10716' file_name: 2022_JournalStatPhys_Myśliwy.pdf file_size: 434957 relation: main_file success: 1 file_date_updated: 2022-02-02T14:24:41Z has_accepted_license: '1' intvolume: ' 186' isi: 1 issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '11473' relation: dissertation_contains status: public scopus_import: '1' status: public title: Polaron models with regular interactions at strong coupling 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) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 186 year: '2022' ... --- _id: '7508' abstract: - lang: eng text: In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution. acknowledgement: "Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU." article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Lea full_name: Bossmann, Lea id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425 last_name: Bossmann orcid: 0000-0002-6854-1343 - first_name: Nataša full_name: Pavlović, Nataša last_name: Pavlović - first_name: Peter full_name: Pickl, Peter last_name: Pickl - first_name: Avy full_name: Soffer, Avy last_name: Soffer citation: ama: Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8 apa: Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8 chicago: Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8. ieee: L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020. ista: Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396. mla: Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8. short: L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396. date_created: 2020-02-23T09:45:51Z date_published: 2020-02-21T00:00:00Z date_updated: 2023-08-18T06:37:46Z day: '21' ddc: - '510' department: - _id: RoSe doi: 10.1007/s10955-020-02500-8 ec_funded: 1 external_id: arxiv: - '1905.06164' isi: - '000516342200001' file: - access_level: open_access checksum: 643e230bf147e64d9cdb3f6cc573679d content_type: application/pdf creator: dernst date_created: 2020-11-20T09:26:46Z date_updated: 2020-11-20T09:26:46Z file_id: '8780' file_name: 2020_JournStatPhysics_Bossmann.pdf file_size: 576726 relation: main_file success: 1 file_date_updated: 2020-11-20T09:26:46Z has_accepted_license: '1' intvolume: ' 178' isi: 1 language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: 1362-1396 project: - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Higher order corrections to the mean-field description of the dynamics of interacting bosons 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) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 178 year: '2020' ... --- _id: '7235' abstract: - lang: eng text: We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit. acknowledgement: Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Elliott H. full_name: Lieb, Elliott H. last_name: Lieb - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 2020;180:23-33. doi:10.1007/s10955-019-02322-3 apa: Lieb, E. H., & Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-019-02322-3 chicago: Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3. ieee: E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” Journal of Statistical Physics, vol. 180. Springer Nature, pp. 23–33, 2020. ista: Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33. mla: Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3. short: E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33. date_created: 2020-01-07T09:42:03Z date_published: 2020-09-01T00:00:00Z date_updated: 2023-09-05T14:57:29Z day: '01' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1007/s10955-019-02322-3 ec_funded: 1 external_id: isi: - '000556199700003' file: - access_level: open_access checksum: 1e67bee6728592f7bdcea2ad2d9366dc content_type: application/pdf creator: dernst date_created: 2020-11-19T11:13:55Z date_updated: 2020-11-19T11:13:55Z file_id: '8774' file_name: 2020_JourStatPhysics_Lieb.pdf file_size: 279749 relation: main_file success: 1 file_date_updated: 2020-11-19T11:13:55Z has_accepted_license: '1' intvolume: ' 180' isi: 1 language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 23-33 project: - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Divergence of the effective mass of a polaron in the strong coupling limit 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) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 180 year: '2020' ... --- _id: '7756' abstract: - lang: eng text: We study the shear jamming of athermal frictionless soft spheres, and find that in the thermodynamic limit, a shear-jammed state exists with different elastic properties from the isotropically-jammed state. For example, shear-jammed states can have a non-zero residual shear stress in the thermodynamic limit that arises from long-range stress-stress correlations. As a result, the ratio of the shear and bulk moduli, which in isotropically-jammed systems vanishes as the jamming transition is approached from above, instead approaches a constant. Despite these striking differences, we argue that in a deeper sense, the shear jamming and isotropic jamming transitions actually have the same symmetry, and that the differences can be fully understood by rotating the six-dimensional basis of the elastic modulus tensor. article_processing_charge: No article_type: original author: - first_name: Marco full_name: Baity-Jesi, Marco last_name: Baity-Jesi - first_name: Carl Peter full_name: Goodrich, Carl Peter id: EB352CD2-F68A-11E9-89C5-A432E6697425 last_name: Goodrich orcid: 0000-0002-1307-5074 - first_name: Andrea J. full_name: Liu, Andrea J. last_name: Liu - first_name: Sidney R. full_name: Nagel, Sidney R. last_name: Nagel - first_name: James P. full_name: Sethna, James P. last_name: Sethna citation: ama: Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. 2017;167(3-4):735-748. doi:10.1007/s10955-016-1703-9 apa: Baity-Jesi, M., Goodrich, C. P., Liu, A. J., Nagel, S. R., & Sethna, J. P. (2017). Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-016-1703-9 chicago: Baity-Jesi, Marco, Carl Peter Goodrich, Andrea J. Liu, Sidney R. Nagel, and James P. Sethna. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition.” Journal of Statistical Physics. Springer Nature, 2017. https://doi.org/10.1007/s10955-016-1703-9. ieee: M. Baity-Jesi, C. P. Goodrich, A. J. Liu, S. R. Nagel, and J. P. Sethna, “Emergent SO(3) symmetry of the frictionless shear jamming transition,” Journal of Statistical Physics, vol. 167, no. 3–4. Springer Nature, pp. 735–748, 2017. ista: Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. 2017. Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. 167(3–4), 735–748. mla: Baity-Jesi, Marco, et al. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition.” Journal of Statistical Physics, vol. 167, no. 3–4, Springer Nature, 2017, pp. 735–48, doi:10.1007/s10955-016-1703-9. short: M. Baity-Jesi, C.P. Goodrich, A.J. Liu, S.R. Nagel, J.P. Sethna, Journal of Statistical Physics 167 (2017) 735–748. date_created: 2020-04-30T11:38:38Z date_published: 2017-01-03T00:00:00Z date_updated: 2021-01-12T08:15:19Z day: '03' doi: 10.1007/s10955-016-1703-9 extern: '1' intvolume: ' 167' issue: 3-4 language: - iso: eng month: '01' oa_version: None page: 735-748 publication: Journal of Statistical Physics publication_identifier: issn: - 0022-4715 - 1572-9613 publication_status: published publisher: Springer Nature quality_controlled: '1' status: public title: Emergent SO(3) symmetry of the frictionless shear jamming transition type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 167 year: '2017' ... --- _id: '2738' abstract: - lang: eng text: We consider the long time evolution of a quantum particle weakly interacting with a phonon field. We show that in the weak coupling limit the Wigner distribution of the electron density matrix converges to the solution of the linear Boltzmann equation globally in time. The collision kernel is identified as the sum of an emission and an absorption term that depend on the equilibrium distribution of the free phonon modes. acknowledgement: "This work initially was a joint project with H.-T. Yau and several ideas\r\npresented here have been developed in collaboration with him. I would like\r\nto thank him for the invaluable discussions and encouragement through\r\nthe entire work. Part of this project was completed during several visits at\r\nthe Erwin Schrödinger Institute, Vienna, and at the Center of Theoretical\r\nStudies, Hsinchu, Taiwan. The author is grateful for the hospitality and\r\nfinancial support. This work was partially supported by NSF Grant DMS9970323." article_processing_charge: No article_type: original author: - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 citation: ama: Erdös L. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 2002;107(5-6):1043-1127. doi:10.1023/A:1015157624384 apa: Erdös, L. (2002). Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. Springer. https://doi.org/10.1023/A:1015157624384 chicago: Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics. Springer, 2002. https://doi.org/10.1023/A:1015157624384. ieee: L. Erdös, “Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field,” Journal of Statistical Physics, vol. 107, no. 5–6. Springer, pp. 1043–1127, 2002. ista: Erdös L. 2002. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 107(5–6), 1043–1127. mla: Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics, vol. 107, no. 5–6, Springer, 2002, pp. 1043–127, doi:10.1023/A:1015157624384. short: L. Erdös, Journal of Statistical Physics 107 (2002) 1043–1127. date_created: 2018-12-11T11:59:20Z date_published: 2002-06-01T00:00:00Z date_updated: 2023-07-18T09:08:45Z day: '01' doi: 10.1023/A:1015157624384 extern: '1' external_id: arxiv: - math-ph/0108025 intvolume: ' 107' issue: 5-6 language: - iso: eng month: '06' oa_version: Submitted Version page: 1043 - 1127 publication: Journal of Statistical Physics publication_identifier: issn: - 0022-4715 publication_status: published publisher: Springer publist_id: '4154' quality_controlled: '1' scopus_import: '1' status: public title: Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 107 year: '2002' ... --- _id: '2732' abstract: - lang: eng text: 'We consider a quantum particle moving in a harmonic exterior potential and linearly coupled to a heat bath of quantum oscillators. Caldeira and Leggett derived the Fokker Planck equation with friction for the Wigner distribution of the particle in the large-temperature limit: however, their (nonrigorous) derivation was not free of criticism, especially since the limiting equation is not of Lindblad form. In this paper we recover the correct form of their result in a rigorous way. We also point out that the source of the diffusion is physically restrictive under this scaling. We investigate the model at a fixed temperature and in the large-time limit, where the origin of the diffusion is a cumulative effect of many resonant collisions. We obtain a heat equation with a friction term for the radial process in phase space and we prove the Einstein relation in this case.' acknowledgement: The authors are indebted to H. Spohn for discussions. F.C. and L.E. were partially supported by the Erwin Schrödinger Institute in Vienna (Austria) during their visit, and they thank this institution for its hospitality. This work was supported by the TMR-Network ``Asymptotic Methods in Kinetic Theory'' number ERB FMBX CT97 0157 (F.C., F.F., and P.A.M.) and by NSF Grant DMS-9970323 (L.E.). article_processing_charge: No article_type: original author: - first_name: François full_name: Castella, François last_name: Castella - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Florian full_name: Frommlet, Florian last_name: Frommlet - first_name: Peter full_name: Markowich, Peter last_name: Markowich citation: ama: Castella F, Erdös L, Frommlet F, Markowich P. Fokker-Planck equations as scaling limits of reversible quantum systems. Journal of Statistical Physics. 2000;100(3-4):543-601. doi:10.1023/A:1018667323830 apa: Castella, F., Erdös, L., Frommlet, F., & Markowich, P. (2000). Fokker-Planck equations as scaling limits of reversible quantum systems. Journal of Statistical Physics. Springer. https://doi.org/10.1023/A:1018667323830 chicago: Castella, François, László Erdös, Florian Frommlet, and Peter Markowich. “Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” Journal of Statistical Physics. Springer, 2000. https://doi.org/10.1023/A:1018667323830. ieee: F. Castella, L. Erdös, F. Frommlet, and P. Markowich, “Fokker-Planck equations as scaling limits of reversible quantum systems,” Journal of Statistical Physics, vol. 100, no. 3–4. Springer, pp. 543–601, 2000. ista: Castella F, Erdös L, Frommlet F, Markowich P. 2000. Fokker-Planck equations as scaling limits of reversible quantum systems. Journal of Statistical Physics. 100(3–4), 543–601. mla: Castella, François, et al. “Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” Journal of Statistical Physics, vol. 100, no. 3–4, Springer, 2000, pp. 543–601, doi:10.1023/A:1018667323830. short: F. Castella, L. Erdös, F. Frommlet, P. Markowich, Journal of Statistical Physics 100 (2000) 543–601. date_created: 2018-12-11T11:59:18Z date_published: 2000-01-01T00:00:00Z date_updated: 2023-05-03T09:02:11Z day: '01' doi: 10.1023/A:1018667323830 extern: '1' intvolume: ' 100' issue: 3-4 language: - iso: eng month: '01' oa_version: None page: 543 - 601 publication: Journal of Statistical Physics publication_identifier: issn: - 0022-4715 publication_status: published publisher: Springer publist_id: '4160' quality_controlled: '1' scopus_import: '1' status: public title: Fokker-Planck equations as scaling limits of reversible quantum systems type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 100 year: '2000' ... --- _id: '2721' abstract: - lang: eng text: We consider a multidimensional system consisting of a particle of mass M and radius r (molecule), surrounded by an infinite ideal gas of point particles of mass m (atoms). The molecule is confined to the unit ball and interacts with its boundary (barrier) via elastic collision, while the atoms are not affected by the boundary. We obtain convergence to equilibrium for the molecule from almost every initial distribution on its position and velocity. Furthermore, we prove that the infinite composite system of the molecule and the atoms is Bernoulli. article_processing_charge: No article_type: original author: - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Dao full_name: Tuyen, Dao last_name: Tuyen citation: ama: Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. 1990;59(5-6):1589-1602. doi:10.1007/BF01334766 apa: Erdös, L., & Tuyen, D. (1990). Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. Springer. https://doi.org/10.1007/BF01334766 chicago: Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” Journal of Statistical Physics. Springer, 1990. https://doi.org/10.1007/BF01334766. ieee: L. Erdös and D. Tuyen, “Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier,” Journal of Statistical Physics, vol. 59, no. 5–6. Springer, pp. 1589–1602, 1990. ista: Erdös L, Tuyen D. 1990. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. 59(5–6), 1589–1602. mla: Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” Journal of Statistical Physics, vol. 59, no. 5–6, Springer, 1990, pp. 1589–602, doi:10.1007/BF01334766. short: L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602. date_created: 2018-12-11T11:59:15Z date_published: 1990-06-01T00:00:00Z date_updated: 2022-02-24T09:39:29Z day: '01' doi: 10.1007/BF01334766 extern: '1' intvolume: ' 59' issue: 5-6 language: - iso: eng main_file_link: - url: https://link.springer.com/article/10.1007/BF01334766 month: '06' oa_version: None page: 1589 - 1602 publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer publist_id: '4171' quality_controlled: '1' scopus_import: '1' status: public title: Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 59 year: '1990' ...