[{"external_id":{"isi":["000626837400001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"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.","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.","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","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"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_number":"31","date_created":"2021-03-21T23:01:19Z","date_published":"2021-03-09T00:00:00Z","doi":"10.1007/s11005-021-01375-4","year":"2021","has_accepted_license":"1","isi":1,"publication":"Letters in Mathematical Physics","day":"09","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).","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-22T11:01:09Z","date_updated":"2023-08-07T14:17:00Z","ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","_id":"9256","volume":111,"issue":"2","publication_status":"published","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"language":[{"iso":"eng"}],"file":[{"checksum":"687fef1525789c0950de90468dd81604","file_id":"9273","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2021-03-22T11:01:09Z","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","date_updated":"2021-03-22T11:01:09Z","file_size":397962,"creator":"dernst"}],"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"},{"intvolume":" 111","month":"04","scopus_import":"1","oa_version":"Published Version","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."}],"volume":111,"language":[{"iso":"eng"}],"file":[{"checksum":"be56c0845a43c0c5c772ee0b5053f7d7","file_id":"9341","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2021-04-19T10:40:01Z","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","date_updated":"2021-04-19T10:40:01Z","file_size":438084,"creator":"dernst"}],"publication_status":"published","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"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":"9333","department":[{"_id":"RoSe"}],"file_date_updated":"2021-04-19T10:40:01Z","ddc":["510"],"date_updated":"2023-08-08T13:09:28Z","oa":1,"quality_controlled":"1","publisher":"Springer Nature","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_created":"2021-04-18T22:01:41Z","date_published":"2021-04-05T00:00:00Z","doi":"10.1007/s11005-021-01380-7","publication":"Letters in Mathematical Physics","day":"05","year":"2021","isi":1,"has_accepted_license":"1","article_number":"45","title":"A note on the Fröhlich dynamics in the strong coupling limit","article_processing_charge":"No","external_id":{"isi":["000637359300002"]},"author":[{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"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.","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","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021)."}},{"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"article_number":"19","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli"},{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"isi":["000617195700001"]},"article_processing_charge":"Yes (via OA deal)","title":"Persistence of the spectral gap for the Landau–Pekar equations","citation":{"chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","date_published":"2021-02-11T00:00:00Z","doi":"10.1007/s11005-020-01350-5","date_created":"2021-03-07T23:01:25Z","isi":1,"has_accepted_license":"1","year":"2021","day":"11","publication":"Letters in Mathematical Physics","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"9225","file_date_updated":"2021-03-09T11:44:34Z","department":[{"_id":"RoSe"}],"date_updated":"2023-09-07T13:30:11Z","ddc":["510"],"scopus_import":"1","month":"02","intvolume":" 111","abstract":[{"lang":"eng","text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times."}],"oa_version":"Published Version","volume":111,"related_material":{"record":[{"relation":"dissertation_contains","id":"9733","status":"public"}]},"ec_funded":1,"publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"publication_status":"published","file":[{"success":1,"file_id":"9232","checksum":"ffbfe1aad623bce7ff529c207e343b53","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","date_created":"2021-03-09T11:44:34Z","file_size":391205,"date_updated":"2021-03-09T11:44:34Z","creator":"dernst"}],"language":[{"iso":"eng"}]}]