[{"quality_controlled":"1","date_updated":"2026-02-18T08:23:59Z","scopus_import":"1","date_published":"2025-11-18T00:00:00Z","_id":"21270","month":"11","arxiv":1,"volume":112,"status":"public","title":"Bound excited states of Fröhlich polarons in one dimension","oa":1,"author":[{"first_name":"J.","last_name":"Taylor","full_name":"Taylor, J."},{"first_name":"M.","full_name":"Čufar, M.","last_name":"Čufar"},{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"first_name":"E.","full_name":"Pahl, E.","last_name":"Pahl"},{"last_name":"Brand","full_name":"Brand, J.","first_name":"J."}],"OA_type":"green","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2506.02440 ","open_access":"1"}],"article_number":"184312","article_type":"original","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"abstract":[{"lang":"eng","text":"The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited states in the strong-coupling limit and calculate their excitation energies. Numerical simulations of a discretized model demonstrate the complete amelioration of the projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert space. They reveal the threshold for the occurrence of the first bound excited states at a value of 𝛼≈1.73 for the dimensionless coupling constant. This puts the threshold into the regime of intermediate interaction strength. We find a significant spectral weight and increased phonon number of the bound excited state at threshold."}],"fulldoi":"https://doi.org/10.1103/s9p9-jflq","acknowledgement":"We are grateful to Dmytro Kolisnyk for his help in working out the spectrum of the Hessian. This work was supported by the Marsden Fund of New Zealand (Contract No. MAU2007) from government funding administered by the Royal Society Te Apārangi and by a summer scholarship from Te Whai Ao – Dodd-Walls Centre for Photonic and Quantum Technologies and the Physics Department, University of Auckland. We acknowledge support by the New Zealand eScience Infrastructure (NeSI) high-performance computing facilities in the form of a merit project allocation.","OA_place":"repository","date_created":"2026-02-17T07:56:20Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","language":[{"iso":"eng"}],"publisher":"American Physical Society","doi":"10.1103/s9p9-jflq","type":"journal_article","department":[{"_id":"RoSe"}],"year":"2025","issue":"18","publication":"Physical Review B","article_processing_charge":"No","citation":{"ista":"Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. 2025. Bound excited states of Fröhlich polarons in one dimension. Physical Review B. 112(18), 184312.","ieee":"J. Taylor, M. Čufar, D. J. Mitrouskas, R. Seiringer, E. Pahl, and J. Brand, “Bound excited states of Fröhlich polarons in one dimension,” <i>Physical Review B</i>, vol. 112, no. 18. American Physical Society, 2025.","ama":"Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. Bound excited states of Fröhlich polarons in one dimension. <i>Physical Review B</i>. 2025;112(18). doi:<a href=\"https://doi.org/10.1103/s9p9-jflq\">10.1103/s9p9-jflq</a>","short":"J. Taylor, M. Čufar, D.J. Mitrouskas, R. Seiringer, E. Pahl, J. Brand, Physical Review B 112 (2025).","chicago":"Taylor, J., M. Čufar, David Johannes Mitrouskas, Robert Seiringer, E. Pahl, and J. Brand. “Bound Excited States of Fröhlich Polarons in One Dimension.” <i>Physical Review B</i>. American Physical Society, 2025. <a href=\"https://doi.org/10.1103/s9p9-jflq\">https://doi.org/10.1103/s9p9-jflq</a>.","apa":"Taylor, J., Čufar, M., Mitrouskas, D. J., Seiringer, R., Pahl, E., &#38; Brand, J. (2025). Bound excited states of Fröhlich polarons in one dimension. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/s9p9-jflq\">https://doi.org/10.1103/s9p9-jflq</a>","mla":"Taylor, J., et al. “Bound Excited States of Fröhlich Polarons in One Dimension.” <i>Physical Review B</i>, vol. 112, no. 18, 184312, American Physical Society, 2025, doi:<a href=\"https://doi.org/10.1103/s9p9-jflq\">10.1103/s9p9-jflq</a>."},"external_id":{"arxiv":["2506.02440 "]},"oa_version":"Preprint","day":"18","intvolume":"       112"},{"author":[{"last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"}],"OA_type":"hybrid","ddc":["530"],"fulldoi":"https://doi.org/10.1007/s00205-025-02098-9","file":[{"success":1,"file_size":886318,"checksum":"3606ebd34d59d03f8c66a3a1794c3e4f","date_updated":"2025-05-12T07:27:28Z","file_name":"2025_ArchiveRatioMechanics_Mitrouskas.pdf","relation":"main_file","date_created":"2025-05-12T07:27:28Z","access_level":"open_access","file_id":"19676","content_type":"application/pdf","creator":"dernst"}],"acknowledgement":"The author would like to thank Ulrich Linden for introducing him to the Fermi polaron and for his valuable contributions in the early stages of this project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments. Open access funding provided by Institute of Science and Technology (IST Austria).","article_number":"30","article_type":"original","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"abstract":[{"lang":"eng","text":"We analyze the ground state energy of N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We show that for weak coupling, the ground state energy is asymptotically described by the polaron energy, as proposed by F. Chevy in the physics literature. The polaron energy is the solution of a nonlinear equation involving the Green’s function of the free Fermi gas and the binding energy of the two-body point interaction. We provide quantitative error estimates that are uniform in the thermodynamic limit."}],"OA_place":"publisher","date_created":"2025-05-11T22:02:37Z","quality_controlled":"1","corr_author":"1","date_updated":"2025-09-30T12:25:19Z","_id":"19660","scopus_import":"1","date_published":"2025-06-01T00:00:00Z","month":"06","oa":1,"file_date_updated":"2025-05-12T07:27:28Z","volume":249,"status":"public","title":"The weakly coupled two-dimensional Fermi polaron","external_id":{"isi":["001482770500001"]},"day":"01","oa_version":"Published Version","intvolume":"       249","publisher":"Springer Nature","doi":"10.1007/s00205-025-02098-9","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"publication_status":"published","department":[{"_id":"RoSe"}],"issue":"3","year":"2025","isi":1,"type":"journal_article","publication":"Archive for Rational Mechanics and Analysis","article_processing_charge":"Yes (via OA deal)","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"has_accepted_license":"1","citation":{"mla":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 249, no. 3, 30, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00205-025-02098-9\">10.1007/s00205-025-02098-9</a>.","ieee":"D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 249, no. 3. Springer Nature, 2025.","ama":"Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. <i>Archive for Rational Mechanics and Analysis</i>. 2025;249(3). doi:<a href=\"https://doi.org/10.1007/s00205-025-02098-9\">10.1007/s00205-025-02098-9</a>","apa":"Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-025-02098-9\">https://doi.org/10.1007/s00205-025-02098-9</a>","short":"D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).","chicago":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00205-025-02098-9\">https://doi.org/10.1007/s00205-025-02098-9</a>.","ista":"Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 249(3), 30."}},{"oa_version":"Published Version","day":"28","intvolume":"        58","external_id":{"isi":["001474094200001"],"arxiv":["2412.01670"]},"has_accepted_license":"1","publication":"Journal of Physics A: Mathematical and Theoretical","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"article_processing_charge":"Yes (in subscription journal)","citation":{"ieee":"E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak coupling limit,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 58, no. 17. IOP Publishing, 2025.","ama":"Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling limit. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2025;58(17). doi:<a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">10.1088/1751-8121/adcdd9</a>","chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2025. <a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">https://doi.org/10.1088/1751-8121/adcdd9</a>.","apa":"Cárdenas, E., &#38; Mitrouskas, D. J. (2025). The renormalized Nelson model in the weak coupling limit. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">https://doi.org/10.1088/1751-8121/adcdd9</a>","short":"E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical 58 (2025).","mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">10.1088/1751-8121/adcdd9</a>.","ista":"Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201."},"language":[{"iso":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"published","publisher":"IOP Publishing","doi":"10.1088/1751-8121/adcdd9","isi":1,"type":"journal_article","issue":"17","department":[{"_id":"RoSe"}],"year":"2025","publication_identifier":{"eissn":["1751-8121"],"issn":["1751-8113"]},"article_type":"original","article_number":"175201","abstract":[{"text":"The Nelson model describes non-relativistic particles coupled to a relativistic Bose scalar field. In this article, we study the renormalized version of the Nelson model with massless bosons in Davies' weak coupling limit. Our main result states that the two-body Coulomb potential emerges as an effective pair interaction between the particles, which arises from the exchange of virtual excitations of the quantum field.","lang":"eng"}],"file":[{"date_created":"2025-05-12T07:13:07Z","file_name":"2025_JourPhysicsA_Cardenas.pdf","relation":"main_file","access_level":"open_access","file_id":"19675","content_type":"application/pdf","creator":"dernst","success":1,"checksum":"a181e1c2d8df08eb683a355e81c5e85a","file_size":551190,"date_updated":"2025-05-12T07:13:07Z"}],"fulldoi":"https://doi.org/10.1088/1751-8121/adcdd9","acknowledgement":"D M thanks Nataˇsa Pavlovi´c for the invitation to the University of Texas at Austin and for the\r\nhospitality offered by the department, where part of this work was performed. E C gratefully\r\nacknowledges support from NSF under Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´","date_created":"2025-05-11T22:02:37Z","OA_place":"publisher","author":[{"first_name":"Esteban","full_name":"Cárdenas, Esteban","last_name":"Cárdenas"},{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"}],"OA_type":"hybrid","ddc":["530"],"month":"04","arxiv":1,"status":"public","volume":58,"title":"The renormalized Nelson model in the weak coupling limit","oa":1,"file_date_updated":"2025-05-12T07:13:07Z","corr_author":"1","quality_controlled":"1","date_updated":"2025-09-30T12:24:45Z","scopus_import":"1","date_published":"2025-04-28T00:00:00Z","_id":"19661"},{"OA_type":"green","author":[{"full_name":"Falconi, Marco","last_name":"Falconi","first_name":"Marco"},{"last_name":"Lampart","full_name":"Lampart, Jonas","first_name":"Jonas"},{"full_name":"Leopold, Nikolai","last_name":"Leopold","first_name":"Nikolai"},{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2305.06722","open_access":"1"}],"fulldoi":"https://doi.org/10.4171/aihpc/154","article_type":"original","publication_identifier":{"eissn":["1873-1430"],"issn":["0294-1449"]},"abstract":[{"lang":"eng","text":"We consider the time evolution of the renormalized Nelson model, which describes N bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles N≫1 with coupling constant proportional to N^−1/2. First, we show that initial states exhibiting Bose–Einstein condensation for the particles and approximating a coherent state for the quantum field retain their structure under the many-body time evolution. Concretely, the dynamics of the reduced densities are approximated by solutions of two coupled PDEs, the Schrödinger–Klein–Gordon equations. Second, we construct a renormalized Bogoliubov evolution that describes the quantum fluctuations around the Schrödinger–Klein–Gordon equations. This evolution is used to extend the approximation of the evolved many-body state to the full norm topology. In summary, we provide a comprehensive analysis of the Nelson model that reveals the role of renormalization in the mean-field Bogoliubov theory."}],"OA_place":"repository","date_created":"2025-07-21T07:59:16Z","quality_controlled":"1","date_updated":"2025-12-30T07:31:09Z","DOAJ_listed":"1","_id":"20045","date_published":"2025-05-06T00:00:00Z","arxiv":1,"month":"05","oa":1,"status":"public","title":"Renormalized Bogoliubov theory for the Nelson model","external_id":{"arxiv":["2305.06722"]},"day":"06","oa_version":"Preprint","publisher":"EMS Press","doi":"10.4171/aihpc/154","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"publication_status":"epub_ahead","department":[{"_id":"RoSe"}],"year":"2025","type":"journal_article","publication":"Annales de l'Institut Henri Poincaré C","article_processing_charge":"No","citation":{"ieee":"M. Falconi, J. Lampart, N. Leopold, and D. J. Mitrouskas, “Renormalized Bogoliubov theory for the Nelson model,” <i>Annales de l’Institut Henri Poincaré C</i>. EMS Press, 2025.","ama":"Falconi M, Lampart J, Leopold N, Mitrouskas DJ. Renormalized Bogoliubov theory for the Nelson model. <i>Annales de l’Institut Henri Poincaré C</i>. 2025. doi:<a href=\"https://doi.org/10.4171/aihpc/154\">10.4171/aihpc/154</a>","chicago":"Falconi, Marco, Jonas Lampart, Nikolai Leopold, and David Johannes Mitrouskas. “Renormalized Bogoliubov Theory for the Nelson Model.” <i>Annales de l’Institut Henri Poincaré C</i>. EMS Press, 2025. <a href=\"https://doi.org/10.4171/aihpc/154\">https://doi.org/10.4171/aihpc/154</a>.","apa":"Falconi, M., Lampart, J., Leopold, N., &#38; Mitrouskas, D. J. (2025). Renormalized Bogoliubov theory for the Nelson model. <i>Annales de l’Institut Henri Poincaré C</i>. EMS Press. <a href=\"https://doi.org/10.4171/aihpc/154\">https://doi.org/10.4171/aihpc/154</a>","short":"M. Falconi, J. Lampart, N. Leopold, D.J. Mitrouskas, Annales de l’Institut Henri Poincaré C (2025).","mla":"Falconi, Marco, et al. “Renormalized Bogoliubov Theory for the Nelson Model.” <i>Annales de l’Institut Henri Poincaré C</i>, EMS Press, 2025, doi:<a href=\"https://doi.org/10.4171/aihpc/154\">10.4171/aihpc/154</a>.","ista":"Falconi M, Lampart J, Leopold N, Mitrouskas DJ. 2025. Renormalized Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré C."}},{"year":"2025","department":[{"_id":"RoSe"}],"type":"journal_article","isi":1,"doi":"10.1007/s00023-025-01626-3","publisher":"Springer Nature","publication_status":"epub_ahead","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"citation":{"chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” <i>Annales Henri Poincare</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00023-025-01626-3\">https://doi.org/10.1007/s00023-025-01626-3</a>.","short":"E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025).","apa":"Cárdenas, E., &#38; Mitrouskas, D. J. (2025). Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-025-01626-3\">https://doi.org/10.1007/s00023-025-01626-3</a>","ieee":"E. Cárdenas and D. J. Mitrouskas, “Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field,” <i>Annales Henri Poincare</i>. Springer Nature, 2025.","ama":"Cárdenas E, Mitrouskas DJ. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. <i>Annales Henri Poincare</i>. 2025. doi:<a href=\"https://doi.org/10.1007/s00023-025-01626-3\">10.1007/s00023-025-01626-3</a>","mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” <i>Annales Henri Poincare</i>, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00023-025-01626-3\">10.1007/s00023-025-01626-3</a>.","ista":"Cárdenas E, Mitrouskas DJ. 2025. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare."},"article_processing_charge":"No","publication":"Annales Henri Poincare","external_id":{"isi":["001586237500001"],"arxiv":["2405.05251"]},"oa_version":"Preprint","day":"03","_id":"20495","date_published":"2025-10-03T00:00:00Z","scopus_import":"1","date_updated":"2025-12-01T12:56:12Z","quality_controlled":"1","oa":1,"title":"Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field","status":"public","arxiv":1,"month":"10","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2405.05251"}],"author":[{"first_name":"Esteban","full_name":"Cárdenas, Esteban","last_name":"Cárdenas"},{"last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"}],"OA_type":"green","OA_place":"repository","date_created":"2025-10-19T22:01:32Z","acknowledgement":"E.C. is deeply grateful to Robert Seiringer for his hospitality at ISTA, without which this project would not have been possible. E.C. is thankful to Thomas Chen for valuable comments and for pointing out useful references. E.C gratefully acknowledges support from the Provost’s Graduate Excellence Fellowship at The University of Texas at Austin and from the NSF grant DMS-2009549, and the NSF grant DMS-2009800 through T. Chen. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1928930, while E.C was in residence at the Simons Laufer Mathematical Sciences Institute in Berkeley, California, during the Fall 2025 semester.","fulldoi":"https://doi.org/10.1007/s00023-025-01626-3","abstract":[{"text":"We consider a tracer particle coupled to a Bose scalar field and study the regime where the field’s propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wave function and prove its validity in Hilbert space norm. In this approximation, the field remains in the vacuum state, while the tracer particle propagates with a modified dispersion relation. Physically, the new dispersion relation can be understood as the effect of radiative corrections due to interactions with virtual bosons. Mathematically, it is defined as the solution of a self-consistent nonlinear equation, whose form depends on the relevant time scale.","lang":"eng"}],"article_type":"original","publication_identifier":{"issn":["1424-0637"]}},{"_id":"19372","scopus_import":"1","date_published":"2025-02-23T00:00:00Z","quality_controlled":"1","corr_author":"1","date_updated":"2026-08-12T08:44:53Z","oa":1,"page":"281-325","status":"public","volume":6,"title":"Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling","arxiv":1,"month":"02","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.16373","open_access":"1"}],"OA_type":"green","author":[{"orcid":"0000-0002-6249-0928","first_name":"Morris","full_name":"Brooks, Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"}],"OA_place":"repository","date_created":"2025-03-09T23:01:28Z","fulldoi":"https://doi.org/10.2140/pmp.2025.6.281","acknowledgement":"M.B. gratefully acknowledges funding from the ERC Advanced Grant ERC-AdG CLaQS, grant agreement n. 83478.","publication_identifier":{"eissn":["2690-1005"],"issn":["2690-0998"]},"article_type":"original","abstract":[{"text":"We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach, involving expansions around the electron Pekar minimizer and the excitations of the quantum field.","lang":"eng"}],"issue":"1","year":"2025","department":[{"_id":"RoSe"}],"type":"journal_article","publisher":"Mathematical Sciences Publishers","doi":"10.2140/pmp.2025.6.281","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","language":[{"iso":"eng"}],"citation":{"mla":"Brooks, Morris, and David Johannes Mitrouskas. “Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” <i>Probability and Mathematical Physics</i>, vol. 6, no. 1, Mathematical Sciences Publishers, 2025, pp. 281–325, doi:<a href=\"https://doi.org/10.2140/pmp.2025.6.281\">10.2140/pmp.2025.6.281</a>.","chicago":"Brooks, Morris, and David Johannes Mitrouskas. “Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” <i>Probability and Mathematical Physics</i>. Mathematical Sciences Publishers, 2025. <a href=\"https://doi.org/10.2140/pmp.2025.6.281\">https://doi.org/10.2140/pmp.2025.6.281</a>.","apa":"Brooks, M., &#38; Mitrouskas, D. J. (2025). Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. <i>Probability and Mathematical Physics</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/pmp.2025.6.281\">https://doi.org/10.2140/pmp.2025.6.281</a>","short":"M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025) 281–325.","ieee":"M. Brooks and D. J. Mitrouskas, “Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling,” <i>Probability and Mathematical Physics</i>, vol. 6, no. 1. Mathematical Sciences Publishers, pp. 281–325, 2025.","ama":"Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. <i>Probability and Mathematical Physics</i>. 2025;6(1):281-325. doi:<a href=\"https://doi.org/10.2140/pmp.2025.6.281\">10.2140/pmp.2025.6.281</a>","ista":"Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 6(1), 281–325."},"publication":"Probability and Mathematical Physics","article_processing_charge":"No","external_id":{"arxiv":["2306.16373"]},"intvolume":"         6","oa_version":"Preprint","day":"23"},{"has_accepted_license":"1","publication":"Journal of Statistical Physics","article_processing_charge":"Yes (via OA deal)","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"citation":{"mla":"Bossmann, Lea, et al. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” <i>Journal of Statistical Physics</i>, vol. 191, no. 4, 48, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s10955-024-03260-5\">10.1007/s10955-024-03260-5</a>.","ieee":"L. Bossmann, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “A note on the binding energy for Bosons in the mean-field limit,” <i>Journal of Statistical Physics</i>, vol. 191, no. 4. Springer Nature, 2024.","ama":"Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. A note on the binding energy for Bosons in the mean-field limit. <i>Journal of Statistical Physics</i>. 2024;191(4). doi:<a href=\"https://doi.org/10.1007/s10955-024-03260-5\">10.1007/s10955-024-03260-5</a>","chicago":"Bossmann, Lea, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” <i>Journal of Statistical Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s10955-024-03260-5\">https://doi.org/10.1007/s10955-024-03260-5</a>.","apa":"Bossmann, L., Leopold, N. K., Mitrouskas, D. J., &#38; Petrat, S. P. (2024). A note on the binding energy for Bosons in the mean-field limit. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-024-03260-5\">https://doi.org/10.1007/s10955-024-03260-5</a>","short":"L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).","ista":"Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. 2024. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 191(4), 48."},"language":[{"iso":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"published","publisher":"Springer Nature","doi":"10.1007/s10955-024-03260-5","isi":1,"type":"journal_article","department":[{"_id":"RoSe"}],"year":"2024","issue":"4","day":"06","oa_version":"Published Version","intvolume":"       191","external_id":{"arxiv":["2307.13115"],"isi":["001197663100002"]},"month":"04","arxiv":1,"status":"public","volume":191,"title":"A note on the binding energy for Bosons in the mean-field limit","oa":1,"file_date_updated":"2024-04-16T11:09:37Z","quality_controlled":"1","date_updated":"2025-09-04T13:36:49Z","scopus_import":"1","date_published":"2024-04-06T00:00:00Z","_id":"15318","article_number":"48","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"article_type":"original","abstract":[{"text":"We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose–Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic expansion for the binding energy, and compute the first orders explicitly for the homogeneous gas. Our result addresses in particular a conjecture by Nam (Lett Math Phys 108(1):141–159, 2018), and provides an asymptotic expansion of the ionization energy of bosonic atoms.","lang":"eng"}],"fulldoi":"https://doi.org/10.1007/s10955-024-03260-5","file":[{"access_level":"open_access","file_id":"15325","creator":"dernst","content_type":"application/pdf","date_created":"2024-04-16T11:09:37Z","file_name":"2024_JourStatPhysics_Bossmann.pdf","relation":"main_file","date_updated":"2024-04-16T11:09:37Z","success":1,"checksum":"839242a9ec1c01158112de25f196e60d","file_size":398665}],"acknowledgement":"It is a pleasure to thank Phan Thành Nam for helpful discussions on bosonic atoms. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. gratefully acknowledges support from the Swiss National Science Foundation through the NCCR SwissMap and funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant agreement No 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project number 512258249.\r\nOpen Access funding enabled and organized by Projekt DEAL.","date_created":"2024-04-14T22:01:02Z","author":[{"orcid":"0000-0002-6854-1343","first_name":"Lea","full_name":"Bossmann, Lea","last_name":"Bossmann","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"},{"last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","orcid":"0000-0002-0495-6822"},{"first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas"},{"full_name":"Petrat, Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","orcid":"0000-0002-9166-5889","first_name":"Sören P"}],"ddc":["510"]},{"oa":1,"page":"307-321","status":"public","editor":[{"full_name":"Bassi, Angelo","last_name":"Bassi","first_name":"Angelo"},{"first_name":"Sheldon","full_name":"Goldstein, Sheldon","last_name":"Goldstein"},{"first_name":"Roderich","last_name":"Tumulka","full_name":"Tumulka, Roderich"},{"last_name":"Zanghi","full_name":"Zanghi, Nino","first_name":"Nino"}],"volume":215,"title":"Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications","arxiv":1,"month":"02","_id":"18948","scopus_import":"1","date_published":"2024-02-04T00:00:00Z","quality_controlled":"1","date_updated":"2025-01-29T10:35:10Z","date_created":"2025-01-29T10:30:08Z","OA_place":"repository","fulldoi":"https://doi.org/10.1007/978-3-031-45434-9_22","acknowledgement":"It is our pleasure to thank Marco Falconi, Nataša Pavlović, Peter Pickl, Robert Seiringer and Avy Soffer for the collaboration on the works [11, 13, 14, 21, 33, 39]. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. acknowledges support from the Swiss National Science Foundation through the NCCR SwissMap and funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project number 512258249.","publication_identifier":{"issn":["0168-1222"],"eissn":["2365-6425"],"isbn":["9783031454332"],"eisbn":["9783031454349"]},"abstract":[{"text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this result, namely the derivation of an Edgeworth expansion for fluctuations of one-body operators and the computation of the binding energy of an inhomogeneous Bose gas to any order. Finally, we collect related results for the dynamics of the weakly interacting Bose gas and for the regularized Nelson model.","lang":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.12910","open_access":"1"}],"OA_type":"green","author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","orcid":"0000-0002-6854-1343","first_name":"Lea"},{"first_name":"Nikolai","last_name":"Leopold","full_name":"Leopold, Nikolai"},{"first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas"},{"last_name":"Petrat","full_name":"Petrat, Sören","first_name":"Sören"}],"citation":{"mla":"Bossmann, Lea, et al. “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.” <i>Physics and the Nature of Reality</i>, edited by Angelo Bassi et al., vol. 215, Springer Nature, 2024, pp. 307–21, doi:<a href=\"https://doi.org/10.1007/978-3-031-45434-9_22\">10.1007/978-3-031-45434-9_22</a>.","short":"L. Bossmann, N. Leopold, D.J. Mitrouskas, S. Petrat, in:, A. Bassi, S. Goldstein, R. Tumulka, N. Zanghi (Eds.), Physics and the Nature of Reality, Springer Nature, Cham, 2024, pp. 307–321.","apa":"Bossmann, L., Leopold, N., Mitrouskas, D. J., &#38; Petrat, S. (2024). Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In A. Bassi, S. Goldstein, R. Tumulka, &#38; N. Zanghi (Eds.), <i>Physics and the Nature of Reality</i> (Vol. 215, pp. 307–321). Cham: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-45434-9_22\">https://doi.org/10.1007/978-3-031-45434-9_22</a>","chicago":"Bossmann, Lea, Nikolai Leopold, David Johannes Mitrouskas, and Sören Petrat. “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.” In <i>Physics and the Nature of Reality</i>, edited by Angelo Bassi, Sheldon Goldstein, Roderich Tumulka, and Nino Zanghi, 215:307–21. FTPH. Cham: Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-3-031-45434-9_22\">https://doi.org/10.1007/978-3-031-45434-9_22</a>.","ieee":"L. Bossmann, N. Leopold, D. J. Mitrouskas, and S. Petrat, “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications,” in <i>Physics and the Nature of Reality</i>, vol. 215, A. Bassi, S. Goldstein, R. Tumulka, and N. Zanghi, Eds. Cham: Springer Nature, 2024, pp. 307–321.","ama":"Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Bassi A, Goldstein S, Tumulka R, Zanghi N, eds. <i>Physics and the Nature of Reality</i>. Vol 215. FTPH. Cham: Springer Nature; 2024:307-321. doi:<a href=\"https://doi.org/10.1007/978-3-031-45434-9_22\">10.1007/978-3-031-45434-9_22</a>","ista":"Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. 2024.Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications. In: Physics and the Nature of Reality. 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Our main result is the derivation of the Bogoliubov dynamics and higher-order corrections. More precisely, we prove the convergence of the approximate wave function to the many-body wave function in norm, with a convergence rate proportional to the number of corrections taken into account in the approximation. We prove an analogous result for the unitary propagator. As an application, we derive a simple system of partial differential equations describing the time evolution of the first- and second-order approximations to the one-particle reduced density matrices of the particles and the quantum field, respectively."}],"fulldoi":"https://doi.org/10.1142/S0129055X2350006X","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2110.00458","open_access":"1"}],"author":[{"full_name":"Falconi, Marco","last_name":"Falconi","first_name":"Marco"},{"last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","orcid":"0000-0002-0495-6822"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"},{"last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","first_name":"Sören P","orcid":"0000-0002-9166-5889"}],"status":"public","volume":35,"title":"Bogoliubov dynamics and higher-order corrections for the regularized Nelson model","oa":1,"month":"01","arxiv":1,"scopus_import":"1","date_published":"2023-01-09T00:00:00Z","_id":"12430","quality_controlled":"1","date_updated":"2023-08-16T11:47:27Z","intvolume":"        35","day":"09","oa_version":"Preprint","external_id":{"isi":["000909760300001"],"arxiv":["2110.00458"]},"citation":{"ista":"Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. 2023. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. 35(4), 2350006.","mla":"Falconi, Marco, et al. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” <i>Reviews in Mathematical Physics</i>, vol. 35, no. 4, 2350006, World Scientific Publishing, 2023, doi:<a href=\"https://doi.org/10.1142/S0129055X2350006X\">10.1142/S0129055X2350006X</a>.","apa":"Falconi, M., Leopold, N. K., Mitrouskas, D. J., &#38; Petrat, S. P. (2023). Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X2350006X\">https://doi.org/10.1142/S0129055X2350006X</a>","chicago":"Falconi, Marco, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2023. <a href=\"https://doi.org/10.1142/S0129055X2350006X\">https://doi.org/10.1142/S0129055X2350006X</a>.","short":"M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).","ama":"Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. <i>Reviews in Mathematical Physics</i>. 2023;35(4). doi:<a href=\"https://doi.org/10.1142/S0129055X2350006X\">10.1142/S0129055X2350006X</a>","ieee":"M. Falconi, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “Bogoliubov dynamics and higher-order corrections for the regularized Nelson model,” <i>Reviews in Mathematical Physics</i>, vol. 35, no. 4. World Scientific Publishing, 2023."},"publication":"Reviews in Mathematical Physics","article_processing_charge":"No","isi":1,"type":"journal_article","department":[{"_id":"RoSe"}],"issue":"4","year":"2023","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","language":[{"iso":"eng"}],"publisher":"World Scientific Publishing","doi":"10.1142/S0129055X2350006X"},{"date_created":"2023-07-02T22:00:43Z","acknowledgement":"This research was supported by 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.).","fulldoi":"https://doi.org/10.1017/fms.2023.45","file":[{"file_id":"13186","access_level":"open_access","content_type":"application/pdf","creator":"alisjak","file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf","relation":"main_file","date_created":"2023-07-03T10:36:25Z","date_updated":"2023-07-03T10:36:25Z","success":1,"checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","file_size":943192}],"abstract":[{"text":"We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar.","lang":"eng"}],"publication_identifier":{"eissn":["2050-5094"]},"article_type":"original","ddc":["500"],"author":[{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"page":"1-52","file_date_updated":"2023-07-03T10:36:25Z","oa":1,"title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","status":"public","volume":11,"arxiv":1,"month":"06","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"_id":"13178","date_published":"2023-06-13T00:00:00Z","scopus_import":"1","date_updated":"2025-04-14T07:26:58Z","corr_author":"1","quality_controlled":"1","intvolume":"        11","day":"13","oa_version":"Published Version","external_id":{"isi":["001005008800001"],"arxiv":["2203.02454"]},"citation":{"short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.","apa":"Mitrouskas, D. J., Mysliwy, K., &#38; Seiringer, R. (2023). Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>","chicago":"Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>.","ieee":"D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron,” <i>Forum of Mathematics</i>, vol. 11. Cambridge University Press, pp. 1–52, 2023.","ama":"Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. 2023;11:1-52. doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>","mla":"Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>.","ista":"Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52."},"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"article_processing_charge":"Yes","publication":"Forum of Mathematics","has_accepted_license":"1","department":[{"_id":"RoSe"}],"year":"2023","type":"journal_article","isi":1,"doi":"10.1017/fms.2023.45","ec_funded":1,"publisher":"Cambridge University Press","publication_status":"published","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}]},{"article_number":"17","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"article_type":"original","abstract":[{"text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.","lang":"eng"}],"file":[{"creator":"dernst","content_type":"application/pdf","file_id":"14225","access_level":"open_access","relation":"main_file","file_name":"2023_MathPhysics_Lampart.pdf","date_created":"2023-08-23T10:59:15Z","date_updated":"2023-08-23T10:59:15Z","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","file_size":317026,"success":1}],"fulldoi":"https://doi.org/10.1007/s11040-023-09460-x","acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","date_created":"2023-08-22T14:09:47Z","author":[{"first_name":"Jonas","last_name":"Lampart","full_name":"Lampart, Jonas"},{"first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas"},{"first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof"}],"ddc":["510"],"month":"07","arxiv":1,"status":"public","volume":26,"title":"On the global minimum of the energy–momentum relation for the polaron","oa":1,"file_date_updated":"2023-08-23T10:59:15Z","quality_controlled":"1","corr_author":"1","date_updated":"2024-10-09T21:06:41Z","scopus_import":"1","date_published":"2023-07-26T00:00:00Z","_id":"14192","oa_version":"Published Version","day":"26","intvolume":"        26","external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"has_accepted_license":"1","publication":"Mathematical Physics, Analysis and Geometry","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"article_processing_charge":"Yes (via OA deal)","citation":{"apa":"Lampart, J., Mitrouskas, D. J., &#38; Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023).","chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>.","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3. Springer Nature, 2023.","ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. 2023;26(3). doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>","mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3, 17, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>.","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17."},"keyword":["Geometry and Topology","Mathematical Physics"],"language":[{"iso":"eng"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","doi":"10.1007/s11040-023-09460-x","isi":1,"type":"journal_article","issue":"3","year":"2023","department":[{"_id":"RoSe"}]},{"doi":"10.1063/5.0172199","publisher":"AIP Publishing","publication_status":"published","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"issue":"12","year":"2023","type":"journal_article","isi":1,"article_processing_charge":"Yes (in subscription journal)","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"publication":"Journal of Mathematical Physics","has_accepted_license":"1","citation":{"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>.","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>","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).","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>.","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>","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.","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."},"external_id":{"arxiv":["2307.11062"],"isi":["001127432200002"]},"oa_version":"Published Version","day":"01","intvolume":"        64","date_updated":"2025-09-09T14:05:28Z","quality_controlled":"1","corr_author":"1","_id":"14715","date_published":"2023-12-01T00:00:00Z","scopus_import":"1","arxiv":1,"month":"12","file_date_updated":"2024-01-02T08:45:07Z","oa":1,"title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","volume":64,"status":"public","author":[{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"}],"ddc":["510"],"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.”","file":[{"date_updated":"2024-01-02T08:45:07Z","checksum":"66572f718a36465576cf0d6b3f7e01fc","file_size":4346922,"success":1,"creator":"dernst","content_type":"application/pdf","access_level":"open_access","file_id":"14722","date_created":"2024-01-02T08:45:07Z","relation":"main_file","file_name":"2023_JourMathPhysics_Mitrouskas.pdf"}],"fulldoi":"https://doi.org/10.1063/5.0172199","abstract":[{"lang":"eng","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."}],"article_number":"121901","article_type":"original","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"date_created":"2023-12-31T23:01:02Z"},{"date_updated":"2025-04-23T14:21:39Z","corr_author":"1","quality_controlled":"1","date_published":"2023-12-15T00:00:00Z","scopus_import":"1","_id":"14854","month":"12","arxiv":1,"title":"Ubiquity of bound states for the strongly coupled polaron","volume":5,"status":"public","page":"973-1008","oa":1,"OA_type":"green","author":[{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2211.03606","open_access":"1"}],"abstract":[{"text":"We study the spectrum of the Fröhlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum at strong coupling. In fact, our main result shows that the number of excited energy bands diverges in the strong coupling limit. To prove this we derive upper bounds for the min-max values of the corresponding fiber Hamiltonians and compare them with the bottom of the essential spectrum, a lower bound on which was recently obtained by Brooks and Seiringer (Comm. Math. Phys. 404:1 (2023), 287–337). The upper bounds are given in terms of the ground state energy band shifted by momentum-independent excitation energies determined by an effective Hamiltonian of Bogoliubov type.","lang":"eng"}],"article_type":"original","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"fulldoi":"https://doi.org/10.2140/paa.2023.5.973","date_created":"2024-01-22T08:24:23Z","OA_place":"repository","language":[{"iso":"eng"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.2140/paa.2023.5.973","publisher":"Mathematical Sciences Publishers","type":"journal_article","year":"2023","department":[{"_id":"RoSe"}],"issue":"4","article_processing_charge":"No","publication":"Pure and Applied Analysis","citation":{"mla":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:<a href=\"https://doi.org/10.2140/paa.2023.5.973\">10.2140/paa.2023.5.973</a>.","ama":"Mitrouskas DJ, Seiringer R. Ubiquity of bound states for the strongly coupled polaron. <i>Pure and Applied Analysis</i>. 2023;5(4):973-1008. doi:<a href=\"https://doi.org/10.2140/paa.2023.5.973\">10.2140/paa.2023.5.973</a>","ieee":"D. J. Mitrouskas and R. Seiringer, “Ubiquity of bound states for the strongly coupled polaron,” <i>Pure and Applied Analysis</i>, vol. 5, no. 4. Mathematical Sciences Publishers, pp. 973–1008, 2023.","short":"D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.","chicago":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2023. <a href=\"https://doi.org/10.2140/paa.2023.5.973\">https://doi.org/10.2140/paa.2023.5.973</a>.","apa":"Mitrouskas, D. J., &#38; Seiringer, R. (2023). Ubiquity of bound states for the strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2023.5.973\">https://doi.org/10.2140/paa.2023.5.973</a>","ista":"Mitrouskas DJ, Seiringer R. 2023. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 5(4), 973–1008."},"keyword":["General Medicine"],"external_id":{"arxiv":["2211.03606"]},"oa_version":"Preprint","day":"15","intvolume":"         5"},{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"author":[{"orcid":"0000-0002-0495-6822","first_name":"Nikolai K","full_name":"Leopold, Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2024-01-28T23:01:43Z","fulldoi":"https://doi.org/10.2140/paa.2021.3.653","acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","article_type":"original","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2."}],"_id":"14889","scopus_import":"1","date_published":"2021-10-01T00:00:00Z","quality_controlled":"1","corr_author":"1","date_updated":"2025-04-14T07:27:00Z","oa":1,"page":"653-676","status":"public","volume":3,"title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","arxiv":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"month":"10","external_id":{"arxiv":["2005.02098"]},"intvolume":"         3","oa_version":"Preprint","day":"01","year":"2021","department":[{"_id":"RoSe"}],"issue":"4","type":"journal_article","publisher":"Mathematical Sciences Publishers","ec_funded":1,"doi":"10.2140/paa.2021.3.653","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"citation":{"ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. 2021;3(4):653-676. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>."},"publication":"Pure and Applied Analysis","article_processing_charge":"No"},{"citation":{"apa":"Leopold, N. K., Mitrouskas, D. J., &#38; Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01616-9\">https://doi.org/10.1007/s00205-021-01616-9</a>","short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01616-9\">https://doi.org/10.1007/s00205-021-01616-9</a>.","ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. <i>Archive for Rational Mechanics and Analysis</i>. 2021;240:383-417. doi:<a href=\"https://doi.org/10.1007/s00205-021-01616-9\">10.1007/s00205-021-01616-9</a>","ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 240. Springer Nature, pp. 383–417, 2021.","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 240, Springer Nature, 2021, pp. 383–417, doi:<a href=\"https://doi.org/10.1007/s00205-021-01616-9\">10.1007/s00205-021-01616-9</a>.","ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417."},"publication":"Archive for Rational Mechanics and Analysis","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"article_processing_charge":"No","has_accepted_license":"1","department":[{"_id":"RoSe"}],"year":"2021","isi":1,"type":"journal_article","publisher":"Springer Nature","ec_funded":1,"doi":"10.1007/s00205-021-01616-9","language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","intvolume":"       240","day":"26","oa_version":"Published Version","external_id":{"pmid":["33785964"],"isi":["000622226200001"],"arxiv":["2001.03993"]},"oa":1,"file_date_updated":"2021-03-22T08:31:29Z","page":"383-417","status":"public","volume":240,"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","arxiv":1,"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"month":"02","_id":"9246","scopus_import":"1","date_published":"2021-02-26T00:00:00Z","quality_controlled":"1","date_updated":"2025-06-12T06:35:22Z","date_created":"2021-03-14T23:01:34Z","fulldoi":"https://doi.org/10.1007/s00205-021-01616-9","file":[{"content_type":"application/pdf","creator":"dernst","access_level":"open_access","file_id":"9270","relation":"main_file","file_name":"2021_ArchRationalMechAnal_Leopold.pdf","date_created":"2021-03-22T08:31:29Z","date_updated":"2021-03-22T08:31:29Z","checksum":"23449e44dc5132501a5c86e70638800f","file_size":558006,"success":1}],"acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","article_type":"original","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order."}],"ddc":["510"],"pmid":1,"author":[{"last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","orcid":"0000-0002-0495-6822"},{"first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}]},{"external_id":{"isi":["000637359300002"]},"day":"05","oa_version":"Published Version","intvolume":"       111","language":[{"iso":"eng"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","doi":"10.1007/s11005-021-01380-7","publisher":"Springer Nature","type":"journal_article","isi":1,"department":[{"_id":"RoSe"}],"year":"2021","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"article_processing_charge":"No","publication":"Letters in Mathematical Physics","citation":{"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.” <i>Letters in Mathematical Physics</i>, vol. 111, 45, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>.","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021."},"author":[{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"}],"ddc":["510"],"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."}],"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"article_number":"45","article_type":"original","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.","file":[{"file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","relation":"main_file","date_created":"2021-04-19T10:40:01Z","file_id":"9341","access_level":"open_access","creator":"dernst","content_type":"application/pdf","success":1,"checksum":"be56c0845a43c0c5c772ee0b5053f7d7","file_size":438084,"date_updated":"2021-04-19T10:40:01Z"}],"fulldoi":"https://doi.org/10.1007/s11005-021-01380-7","date_created":"2021-04-18T22:01:41Z","date_updated":"2026-04-02T13:58:00Z","quality_controlled":"1","date_published":"2021-04-05T00:00:00Z","scopus_import":"1","_id":"9333","month":"04","title":"A note on the Fröhlich dynamics in the strong coupling limit","volume":111,"status":"public","file_date_updated":"2021-04-19T10:40:01Z","oa":1}]