[{"author":[{"full_name":"Falconi, Marco","last_name":"Falconi","first_name":"Marco"},{"full_name":"Leopold, Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","last_name":"Leopold"},{"first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P"}],"volume":35,"date_updated":"2023-08-16T11:47:27Z","date_created":"2023-01-29T23:00:59Z","year":"2023","publisher":"World Scientific Publishing","department":[{"_id":"RoSe"}],"publication_status":"published","article_number":"2350006","doi":"10.1142/S0129055X2350006X","language":[{"iso":"eng"}],"oa":1,"external_id":{"isi":["000909760300001"],"arxiv":["2110.00458"]},"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2110.00458","open_access":"1"}],"quality_controlled":"1","isi":1,"publication_identifier":{"issn":["0129-055X"]},"month":"01","oa_version":"Preprint","_id":"12430","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 35","title":"Bogoliubov dynamics and higher-order corrections for the regularized Nelson model","status":"public","issue":"4","abstract":[{"lang":"eng","text":"We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (with respect to the particle number) to a positive or zero mass quantized scalar field. 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."}],"type":"journal_article","date_published":"2023-01-09T00:00:00Z","citation":{"chicago":"Falconi, Marco, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” Reviews in Mathematical Physics. World Scientific Publishing, 2023. https://doi.org/10.1142/S0129055X2350006X.","mla":"Falconi, Marco, et al. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” Reviews in Mathematical Physics, vol. 35, no. 4, 2350006, World Scientific Publishing, 2023, doi:10.1142/S0129055X2350006X.","short":"M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).","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.","ieee":"M. Falconi, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “Bogoliubov dynamics and higher-order corrections for the regularized Nelson model,” Reviews in Mathematical Physics, vol. 35, no. 4. World Scientific Publishing, 2023.","apa":"Falconi, M., Leopold, N. K., Mitrouskas, D. J., & Petrat, S. P. (2023). Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X2350006X","ama":"Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. 2023;35(4). doi:10.1142/S0129055X2350006X"},"publication":"Reviews in Mathematical Physics","article_type":"original","article_processing_charge":"No","day":"09","scopus_import":"1"},{"date_published":"2023-06-13T00:00:00Z","page":"1-52","article_type":"original","citation":{"chicago":"Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics. Cambridge University Press, 2023. https://doi.org/10.1017/fms.2023.45.","mla":"Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:10.1017/fms.2023.45.","short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.","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.","apa":"Mitrouskas, D. J., Mysliwy, K., & Seiringer, R. (2023). Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. Cambridge University Press. https://doi.org/10.1017/fms.2023.45","ieee":"D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron,” Forum of Mathematics, 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. Forum of Mathematics. 2023;11:1-52. doi:10.1017/fms.2023.45"},"publication":"Forum of Mathematics","has_accepted_license":"1","article_processing_charge":"Yes","day":"13","scopus_import":"1","oa_version":"Published Version","file":[{"file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf","access_level":"open_access","content_type":"application/pdf","file_size":943192,"creator":"alisjak","relation":"main_file","file_id":"13186","date_updated":"2023-07-03T10:36:25Z","date_created":"2023-07-03T10:36:25Z","checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","success":1}],"intvolume":" 11","ddc":["500"],"title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","status":"public","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"13178","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"}],"type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1017/fms.2023.45","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","isi":1,"external_id":{"isi":["001005008800001"],"arxiv":["2203.02454"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"publication_identifier":{"eissn":["2050-5094"]},"month":"06","volume":11,"date_created":"2023-07-02T22:00:43Z","date_updated":"2023-11-02T12:30:50Z","author":[{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas"},{"first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Cambridge University Press","department":[{"_id":"RoSe"}],"publication_status":"published","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.).","year":"2023","ec_funded":1,"file_date_updated":"2023-07-03T10:36:25Z"},{"article_type":"original","publication":"Mathematical Physics, Analysis and Geometry","citation":{"ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 2023;26(3). doi:10.1007/s11040-023-09460-x","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.","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” Mathematical Physics, Analysis and Geometry, vol. 26, no. 3. Springer Nature, 2023.","apa":"Lampart, J., Mitrouskas, D. J., & Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-023-09460-x","mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” Mathematical Physics, Analysis and Geometry, vol. 26, no. 3, 17, Springer Nature, 2023, doi:10.1007/s11040-023-09460-x.","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.” Mathematical Physics, Analysis and Geometry. Springer Nature, 2023. https://doi.org/10.1007/s11040-023-09460-x."},"date_published":"2023-07-26T00:00:00Z","keyword":["Geometry and Topology","Mathematical Physics"],"scopus_import":"1","day":"26","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","status":"public","ddc":["510"],"title":"On the global minimum of the energy–momentum relation for the polaron","intvolume":" 26","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14192","oa_version":"Published Version","file":[{"file_size":317026,"content_type":"application/pdf","creator":"dernst","file_name":"2023_MathPhysics_Lampart.pdf","access_level":"open_access","date_created":"2023-08-23T10:59:15Z","date_updated":"2023-08-23T10:59:15Z","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","success":1,"relation":"main_file","file_id":"14225"}],"type":"journal_article","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"}],"issue":"3","isi":1,"quality_controlled":"1","external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s11040-023-09460-x","month":"07","publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"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.","year":"2023","date_created":"2023-08-22T14:09:47Z","date_updated":"2023-12-13T12:16:19Z","volume":26,"author":[{"last_name":"Lampart","first_name":"Jonas","full_name":"Lampart, Jonas"},{"first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"},{"first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof"}],"article_number":"17","file_date_updated":"2023-08-23T10:59:15Z"},{"article_number":"121901","file_date_updated":"2024-01-02T08:45:07Z","year":"2023","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.”","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","author":[{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"}],"date_created":"2023-12-31T23:01:02Z","date_updated":"2024-01-02T08:51:28Z","volume":64,"month":"12","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2307.11062"]},"oa":1,"quality_controlled":"1","doi":"10.1063/5.0172199","language":[{"iso":"eng"}],"type":"journal_article","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."}],"issue":"12","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14715","ddc":["510"],"status":"public","title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","intvolume":" 64","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2023_JourMathPhysics_Mitrouskas.pdf","content_type":"application/pdf","file_size":4346922,"creator":"dernst","relation":"main_file","file_id":"14722","checksum":"66572f718a36465576cf0d6b3f7e01fc","success":1,"date_updated":"2024-01-02T08:45:07Z","date_created":"2024-01-02T08:45:07Z"}],"scopus_import":"1","day":"01","article_processing_charge":"Yes (in subscription journal)","has_accepted_license":"1","publication":"Journal of Mathematical Physics","citation":{"ieee":"D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations in the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 64, no. 12. AIP Publishing, 2023.","apa":"Mitrouskas, D. J., & Pickl, P. (2023). Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0172199","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.","ama":"Mitrouskas DJ, Pickl P. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 2023;64(12). doi:10.1063/5.0172199","chicago":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2023. https://doi.org/10.1063/5.0172199.","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).","mla":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:10.1063/5.0172199."},"article_type":"original","date_published":"2023-12-01T00:00:00Z"},{"abstract":[{"text":"\r\nAbstract\r\nWe 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"}],"issue":"4","type":"journal_article","date_created":"2024-01-22T08:24:23Z","date_updated":"2024-01-23T12:55:12Z","volume":5,"oa_version":"None","author":[{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"publication_status":"published","title":"Ubiquity of bound states for the strongly coupled polaron","status":"public","publisher":"Mathematical Sciences Publishers","intvolume":" 5","department":[{"_id":"RoSe"}],"_id":"14854","year":"2023","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"12","day":"15","publication_identifier":{"issn":["2578-5885","2578-5893"]},"article_processing_charge":"No","keyword":["General Medicine"],"language":[{"iso":"eng"}],"doi":"10.2140/paa.2023.5.973","date_published":"2023-12-15T00:00:00Z","article_type":"original","quality_controlled":"1","page":"973-1008","publication":"Pure and Applied Analysis","citation":{"chicago":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/paa.2023.5.973.","short":"D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.","mla":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:10.2140/paa.2023.5.973.","apa":"Mitrouskas, D. J., & Seiringer, R. (2023). Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2023.5.973","ieee":"D. J. Mitrouskas and R. Seiringer, “Ubiquity of bound states for the strongly coupled polaron,” Pure and Applied Analysis, vol. 5, no. 4. Mathematical Sciences Publishers, pp. 973–1008, 2023.","ista":"Mitrouskas DJ, Seiringer R. 2023. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 5(4), 973–1008.","ama":"Mitrouskas DJ, Seiringer R. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 2023;5(4):973-1008. doi:10.2140/paa.2023.5.973"}},{"file_date_updated":"2021-03-22T08:31:29Z","ec_funded":1,"date_created":"2021-03-14T23:01:34Z","date_updated":"2023-08-07T14:12:27Z","volume":240,"author":[{"last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","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.","year":"2021","month":"02","publication_identifier":{"issn":["00039527"],"eissn":["14320673"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00205-021-01616-9","isi":1,"quality_controlled":"1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"isi":["000622226200001"],"arxiv":["2001.03993"]},"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."}],"type":"journal_article","file":[{"date_created":"2021-03-22T08:31:29Z","date_updated":"2021-03-22T08:31:29Z","checksum":"23449e44dc5132501a5c86e70638800f","success":1,"relation":"main_file","file_id":"9270","content_type":"application/pdf","file_size":558006,"creator":"dernst","file_name":"2021_ArchRationalMechAnal_Leopold.pdf","access_level":"open_access"}],"oa_version":"Published Version","status":"public","ddc":["510"],"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","intvolume":" 240","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9246","day":"26","has_accepted_license":"1","article_processing_charge":"No","scopus_import":"1","date_published":"2021-02-26T00:00:00Z","article_type":"original","page":"383-417","publication":"Archive for Rational Mechanics and Analysis","citation":{"ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 2021;240:383-417. doi:10.1007/s00205-021-01616-9","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.","apa":"Leopold, N. K., Mitrouskas, D. J., & Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01616-9","ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” Archive for Rational Mechanics and Analysis, 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.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.","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.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9."}},{"title":"A note on the Fröhlich dynamics in the strong coupling limit","status":"public","ddc":["510"],"intvolume":" 111","_id":"9333","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"content_type":"application/pdf","file_size":438084,"creator":"dernst","access_level":"open_access","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","checksum":"be56c0845a43c0c5c772ee0b5053f7d7","success":1,"date_updated":"2021-04-19T10:40:01Z","date_created":"2021-04-19T10:40:01Z","relation":"main_file","file_id":"9341"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"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.","lang":"eng"}],"article_type":"original","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.","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","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","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","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.","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.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021)."},"date_published":"2021-04-05T00:00:00Z","scopus_import":"1","day":"05","article_processing_charge":"No","has_accepted_license":"1","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","year":"2021","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_updated":"2023-08-08T13:09:28Z","date_created":"2021-04-18T22:01:41Z","volume":111,"author":[{"first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"article_number":"45","file_date_updated":"2021-04-19T10:40:01Z","isi":1,"quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000637359300002"]},"language":[{"iso":"eng"}],"doi":"10.1007/s11005-021-01380-7","month":"04","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]}},{"type":"journal_article","issue":"4","abstract":[{"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.","lang":"eng"}],"intvolume":" 3","status":"public","title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14889","oa_version":"Preprint","scopus_import":"1","article_processing_charge":"No","day":"01","page":"653-676","article_type":"original","citation":{"mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 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.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.","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. Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653","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.","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,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.653"},"publication":"Pure and Applied Analysis","date_published":"2021-10-01T00:00:00Z","ec_funded":1,"department":[{"_id":"RoSe"}],"publisher":"Mathematical Sciences Publishers","publication_status":"published","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.","year":"2021","volume":3,"date_created":"2024-01-28T23:01:43Z","date_updated":"2024-02-05T10:02:45Z","author":[{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"},{"last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"month":"10","project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","external_id":{"arxiv":["2005.02098"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"oa":1,"language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.653"}]