[{"scopus_import":"1","intvolume":" 111","month":"03","abstract":[{"text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature.","lang":"eng"}],"oa_version":"Published Version","issue":"2","volume":111,"publication_status":"published","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"language":[{"iso":"eng"}],"file":[{"file_size":397962,"date_updated":"2021-03-22T11:01:09Z","creator":"dernst","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","date_created":"2021-03-22T11:01:09Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"687fef1525789c0950de90468dd81604","file_id":"9273"}],"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":"9256","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-22T11:01:09Z","date_updated":"2023-08-07T14:17:00Z","ddc":["510"],"oa":1,"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","date_created":"2021-03-21T23:01:19Z","doi":"10.1007/s11005-021-01375-4","date_published":"2021-03-09T00:00:00Z","year":"2021","has_accepted_license":"1","isi":1,"publication":"Letters in Mathematical Physics","day":"09","article_number":"31","external_id":{"isi":["000626837400001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"Free energy asymptotics of the quantum Heisenberg spin chain","citation":{"chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 2021;111(2). doi:10.1007/s11005-021-01375-4","apa":"Napiórkowski, M. M., & Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01375-4","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” Letters in Mathematical Physics, vol. 111, no. 2. Springer Nature, 2021."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"},{"project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"article_number":"e28","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","external_id":{"isi":["000634006900001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann"},{"orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.22","apa":"Bossmann, L., Petrat, S. P., & Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.22","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22."},"oa":1,"publisher":"Cambridge University Press","quality_controlled":"1","acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","date_created":"2021-04-11T22:01:15Z","date_published":"2021-03-26T00:00:00Z","doi":"10.1017/fms.2021.22","publication":"Forum of Mathematics, Sigma","day":"26","year":"2021","has_accepted_license":"1","isi":1,"status":"public","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","_id":"9318","file_date_updated":"2021-04-12T07:15:58Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-08-07T14:35:06Z","intvolume":" 9","month":"03","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"ec_funded":1,"volume":9,"language":[{"iso":"eng"}],"file":[{"creator":"dernst","date_updated":"2021-04-12T07:15:58Z","file_size":883851,"date_created":"2021-04-12T07:15:58Z","file_name":"2021_ForumMath_Bossmann.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"9319","checksum":"17a3e6786d1e930cf0c14a880a6d7e92","success":1}],"publication_status":"published","publication_identifier":{"eissn":["20505094"]}},{"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)"},"status":"public","_id":"9333","department":[{"_id":"RoSe"}],"file_date_updated":"2021-04-19T10:40:01Z","date_updated":"2023-08-08T13:09:28Z","ddc":["510"],"scopus_import":"1","month":"04","intvolume":" 111","abstract":[{"lang":"eng","text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation."}],"oa_version":"Published Version","volume":111,"publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"publication_status":"published","file":[{"file_size":438084,"date_updated":"2021-04-19T10:40:01Z","creator":"dernst","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","date_created":"2021-04-19T10:40:01Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"file_id":"9341","checksum":"be56c0845a43c0c5c772ee0b5053f7d7"}],"language":[{"iso":"eng"}],"article_number":"45","author":[{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"}],"external_id":{"isi":["000637359300002"]},"article_processing_charge":"No","title":"A note on the Fröhlich dynamics in the strong coupling limit","citation":{"mla":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics, vol. 111, 45, Springer Nature, 2021, doi:10.1007/s11005-021-01380-7.","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01380-7","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-021-01380-7","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01380-7.","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"I thank Marcel Griesemer for many interesting discussions about the Fröhlich polaron and also for valuable comments on this manuscript. Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL.","date_published":"2021-04-05T00:00:00Z","doi":"10.1007/s11005-021-01380-7","date_created":"2021-04-18T22:01:41Z","isi":1,"has_accepted_license":"1","year":"2021","day":"05","publication":"Letters in Mathematical Physics"},{"_id":"9351","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)"},"ddc":["530"],"date_updated":"2023-08-08T13:14:40Z","file_date_updated":"2021-10-15T11:15:40Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","abstract":[{"text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. ","lang":"eng"}],"month":"04","intvolume":" 22","scopus_import":"1","file":[{"date_created":"2021-10-15T11:15:40Z","file_name":"2021_Annales_Kirkpatrick.pdf","date_updated":"2021-10-15T11:15:40Z","file_size":522669,"creator":"cchlebak","file_id":"10143","checksum":"1a0fb963f2f415ba470881a794f20eb6","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1424-0637"]},"publication_status":"published","volume":22,"ec_funded":1,"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ama":"Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 2021;22:2595-2618. doi:10.1007/s00023-021-01044-1","apa":"Kirkpatrick, K., Rademacher, S. A. E., & Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-021-01044-1","ieee":"K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” Annales Henri Poincare, vol. 22. Springer Nature, pp. 2595–2618, 2021.","short":"K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618.","mla":"Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:10.1007/s00023-021-01044-1.","ista":"Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.","chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01044-1."},"title":"A large deviation principle in many-body quantum dynamics","author":[{"last_name":"Kirkpatrick","full_name":"Kirkpatrick, Kay","first_name":"Kay"},{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"}],"external_id":{"arxiv":["2010.13754"],"isi":["000638022600001"]},"article_processing_charge":"Yes (via OA deal)","acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial 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. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","publisher":"Springer Nature","quality_controlled":"1","oa":1,"day":"08","publication":"Annales Henri Poincare","isi":1,"has_accepted_license":"1","year":"2021","date_published":"2021-04-08T00:00:00Z","doi":"10.1007/s00023-021-01044-1","date_created":"2021-04-25T22:01:30Z","page":"2595-2618"},{"intvolume":" 281","month":"04","main_file_link":[{"url":"https://arxiv.org/abs/1911.03187","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"issue":"3","volume":281,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"status":"public","article_type":"original","type":"journal_article","_id":"9348","department":[{"_id":"RoSe"}],"date_updated":"2023-08-08T13:15:11Z","oa":1,"publisher":"Elsevier","quality_controlled":"1","acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","date_created":"2021-04-25T22:01:29Z","doi":"10.1016/j.jfa.2021.109029","date_published":"2021-04-07T00:00:00Z","publication":"Journal of Functional Analysis","day":"07","year":"2021","isi":1,"article_number":"109029","title":"Sharp tunneling estimates for a double-well model in infinite dimension","external_id":{"isi":["000644702800005"],"arxiv":["1911.03187"]},"article_processing_charge":"No","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","last_name":"Brooks"},{"first_name":"Giacomo","last_name":"Di Gesù","full_name":"Di Gesù, Giacomo"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis, vol. 281, no. 3, 109029, Elsevier, 2021, doi:10.1016/j.jfa.2021.109029.","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029","apa":"Brooks, M., & Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109029","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” Journal of Functional Analysis, vol. 281, no. 3. Elsevier, 2021.","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109029.","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029."}}]