[{"department":[{"_id":"RoSe"}],"date_updated":"2023-08-22T08:12:40Z","status":"public","article_type":"original","type":"journal_article","_id":"8134","issue":"6","volume":61,"ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["00222488"]},"publication_status":"published","month":"06","intvolume":" 61","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2002.08281","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion."}],"title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","author":[{"full_name":"Mayer, Simon","last_name":"Mayer","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"article_processing_charge":"No","external_id":{"arxiv":["2002.08281"],"isi":["000544595100001"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.","chicago":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0005950.","apa":"Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0005950","ama":"Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 2020;61(6). doi:10.1063/5.0005950","short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).","ieee":"S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. II. Upper bound,” Journal of Mathematical Physics, vol. 61, no. 6. AIP Publishing, 2020.","mla":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:10.1063/5.0005950."},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"061901","doi":"10.1063/5.0005950","date_published":"2020-06-22T00:00:00Z","date_created":"2020-07-19T22:00:59Z","day":"22","publication":"Journal of Mathematical Physics","isi":1,"year":"2020","publisher":"AIP Publishing","quality_controlled":"1","oa":1},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.07890"}],"scopus_import":"1","intvolume":" 102","month":"10","abstract":[{"text":"One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have not yet been unambiguously detected in experiment. Here we introduce a simple quantum impurity model, where bosonic or fermionic impurities turn into anyons as a consequence of their interaction with the surrounding many-particle bath. A cloud of phonons dresses each impurity in such a way that it effectively attaches fluxes or vortices to it and thereby converts it into an Abelian anyon. The corresponding quantum impurity model, first, provides a different approach to the numerical solution of the many-anyon problem, along with a concrete perspective of anyons as emergent quasiparticles built from composite bosons or fermions. More importantly, the model paves the way toward realizing anyons using impurities in crystal lattices as well as ultracold gases. In particular, we consider two heavy electrons interacting with a two-dimensional lattice crystal in a magnetic field, and show that when the impurity-bath system is rotated at the cyclotron frequency, impurities behave as anyons as a consequence of the angular momentum exchange between the impurities and the bath. A possible experimental realization is proposed by identifying the statistics parameter in terms of the mean-square distance of the impurities and the magnetization of the impurity-bath system, both of which are accessible to experiment. Another proposed application is impurities immersed in a two-dimensional weakly interacting Bose gas.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"issue":"14","volume":102,"publication_status":"published","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","status":"public","_id":"8769","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-05T12:12:30Z","oa":1,"quality_controlled":"1","publisher":"American Physical Society","acknowledgement":"We are grateful to M. Correggi, A. Deuchert, and P. Schmelcher for valuable discussions. We also thank the anonymous referees for helping to clarify a few important points in the experimental realization. A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement\r\nNo 754411. D.L. acknowledges financial support from the Goran Gustafsson Foundation (grant no. 1804) and LMU Munich. R.S., M.L., and N.R. gratefully acknowledge financial support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 694227, No 801770, and No 758620, respectively).","date_created":"2020-11-18T07:34:17Z","date_published":"2020-10-01T00:00:00Z","doi":"10.1103/physrevb.102.144109","year":"2020","isi":1,"publication":"Physical Review B","day":"01","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770"}],"article_number":"144109","article_processing_charge":"No","external_id":{"arxiv":["1912.07890"],"isi":["000582563300001"]},"author":[{"orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu","first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"},{"id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","first_name":"Areg","last_name":"Ghazaryan","full_name":"Ghazaryan, Areg","orcid":"0000-0001-9666-3543"},{"first_name":"D.","last_name":"Lundholm","full_name":"Lundholm, D."},{"first_name":"N.","full_name":"Rougerie, N.","last_name":"Rougerie"},{"first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"Quantum impurity model for anyons","citation":{"ieee":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, and R. Seiringer, “Quantum impurity model for anyons,” Physical Review B, vol. 102, no. 14. American Physical Society, 2020.","short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","apa":"Yakaboylu, E., Ghazaryan, A., Lundholm, D., Rougerie, N., Lemeshko, M., & Seiringer, R. (2020). Quantum impurity model for anyons. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.102.144109","ama":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. Quantum impurity model for anyons. Physical Review B. 2020;102(14). doi:10.1103/physrevb.102.144109","mla":"Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” Physical Review B, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:10.1103/physrevb.102.144109.","ista":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. 2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109.","chicago":"Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” Physical Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.102.144109."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000519415000001"],"arxiv":["1901.11363"]},"title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","citation":{"ieee":"A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature,” Archive for Rational Mechanics and Analysis, vol. 236, no. 6. Springer Nature, pp. 1217–1271, 2020.","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.","ama":"Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271. doi:10.1007/s00205-020-01489-4","apa":"Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01489-4","mla":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.","ista":"Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6), 1217–1271.","chicago":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"page":"1217-1271","doi":"10.1007/s00205-020-01489-4","date_published":"2020-03-09T00:00:00Z","date_created":"2020-04-08T15:18:03Z","isi":1,"has_accepted_license":"1","year":"2020","day":"09","publication":"Archive for Rational Mechanics and Analysis","quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). It is a pleasure to thank Jakob Yngvason for helpful discussions. Financial support by the European Research Council (ERC) under the European Union’sHorizon 2020 research and innovation programme (Grant Agreement No. 694227) is gratefully acknowledged. A. D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 836146.","file_date_updated":"2020-11-20T13:17:42Z","department":[{"_id":"RoSe"}],"date_updated":"2023-09-05T14:18:49Z","ddc":["510"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"7650","issue":"6","volume":236,"ec_funded":1,"publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"publication_status":"published","file":[{"file_id":"8785","checksum":"b645fb64bfe95bbc05b3eea374109a9c","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2020-11-20T13:17:42Z","file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","date_updated":"2020-11-20T13:17:42Z","file_size":704633,"creator":"dernst"}],"language":[{"iso":"eng"}],"scopus_import":"1","month":"03","intvolume":" 236","abstract":[{"text":"We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross–Pitaevskii limit, where the scattering length a is so small that the interaction energy is of the same order of magnitude as the spectral gap of the Laplacian, and for temperatures that are comparable to the critical temperature of the ideal gas. We show that the difference between the specific free energy of the interacting system and the one of the ideal gas is to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show that the one-particle density matrix of any approximate minimizer of the Gibbs free energy functional is to leading order given by the one of the ideal gas. This in particular proves Bose–Einstein condensation with critical temperature given by the one of the ideal gas to leading order. One key ingredient of our proof is a novel use of the Gibbs variational principle that goes hand in hand with the c-number substitution.","lang":"eng"}],"oa_version":"Published Version"},{"date_updated":"2023-09-05T14:19:06Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-12-02T08:50:38Z","_id":"8130","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"publication_status":"published","file":[{"file_size":942343,"date_updated":"2020-12-02T08:50:38Z","creator":"dernst","file_name":"2020_ArchiveRatMech_Bossmann.pdf","date_created":"2020-12-02T08:50:38Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"cc67a79a67bef441625fcb1cd031db3d","file_id":"8826"}],"language":[{"iso":"eng"}],"volume":238,"issue":"11","ec_funded":1,"abstract":[{"lang":"eng","text":"We study the dynamics of a system of N interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to an interval of length of order ε. The interaction is non-negative and scaled in such a way that its scattering length is of order ε/N, while its range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein condensation. We prove that condensation is preserved by the N-body dynamics, where the time-evolved condensate wave function is the solution of a two-dimensional non-linear equation. The strength of the non-linearity depends on the scaling parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the scattering length of the interaction. In both cases, the coupling parameter depends on the confining potential."}],"oa_version":"Published Version","scopus_import":"1","month":"11","intvolume":" 238","citation":{"apa":"Bossmann, L. (2020). Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01548-w","ama":"Bossmann L. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 2020;238(11):541-606. doi:10.1007/s00205-020-01548-w","ieee":"L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons,” Archive for Rational Mechanics and Analysis, vol. 238, no. 11. Springer Nature, pp. 541–606, 2020.","short":"L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.","mla":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” Archive for Rational Mechanics and Analysis, vol. 238, no. 11, Springer Nature, 2020, pp. 541–606, doi:10.1007/s00205-020-01548-w.","ista":"Bossmann L. 2020. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 238(11), 541–606.","chicago":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01548-w."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","last_name":"Bossmann","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343"}],"external_id":{"isi":["000550164400001"],"arxiv":["1907.04547"]},"article_processing_charge":"Yes (via OA deal)","title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"has_accepted_license":"1","year":"2020","day":"01","publication":"Archive for Rational Mechanics and Analysis","page":"541-606","date_published":"2020-11-01T00:00:00Z","doi":"10.1007/s00205-020-01548-w","date_created":"2020-07-18T15:06:35Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). I thank Stefan Teufel for helpful remarks and for his involvement in the closely related joint project [10]. Helpful discussions with Serena Cenatiempo and Nikolai Leopold are gratefully acknowledged. This work was supported by the German Research Foundation within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems” and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","publisher":"Springer Nature","quality_controlled":"1","oa":1},{"publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged.","page":"23-33","date_published":"2020-09-01T00:00:00Z","doi":"10.1007/s10955-019-02322-3","date_created":"2020-01-07T09:42:03Z","isi":1,"has_accepted_license":"1","year":"2020","day":"01","publication":"Journal of Statistical Physics","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"author":[{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000556199700003"]},"title":"Divergence of the effective mass of a polaron in the strong coupling limit","citation":{"mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","ieee":"E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” Journal of Statistical Physics, vol. 180. Springer Nature, pp. 23–33, 2020.","apa":"Lieb, E. H., & Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-019-02322-3","ama":"Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 2020;180:23-33. doi:10.1007/s10955-019-02322-3","chicago":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3.","ista":"Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","scopus_import":"1","month":"09","intvolume":" 180","abstract":[{"text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit.","lang":"eng"}],"oa_version":"Published Version","volume":180,"ec_funded":1,"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"publication_status":"published","file":[{"date_created":"2020-11-19T11:13:55Z","file_name":"2020_JourStatPhysics_Lieb.pdf","date_updated":"2020-11-19T11:13:55Z","file_size":279749,"creator":"dernst","file_id":"8774","checksum":"1e67bee6728592f7bdcea2ad2d9366dc","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"7235","department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-19T11:13:55Z","date_updated":"2023-09-05T14:57:29Z","ddc":["510","530"]},{"_id":"7611","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","ddc":["510"],"date_updated":"2023-09-05T15:14:50Z","file_date_updated":"2020-11-20T12:04:26Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem."}],"intvolume":" 110","month":"03","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"date_created":"2020-11-20T12:04:26Z","file_name":"2020_LettersMathPhysics_Rademacher.pdf","creator":"dernst","date_updated":"2020-11-20T12:04:26Z","file_size":478683,"file_id":"8784","checksum":"3bdd41f10ad947b67a45b98f507a7d4a","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"ec_funded":1,"volume":110,"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w","apa":"Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01286-w","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, vol. 110. Springer Nature, pp. 2143–2174, 2020.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174."},"title":"Central limit theorem for Bose gases interacting through singular potentials","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000551556000006"]},"author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher"}],"acknowledgement":"Simone Rademacher acknowledges partial support from the NCCR SwissMAP. This project has received\r\nfunding from the European Union’s Horizon 2020 research and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R. would like to thank Benjamin Schlein for many fruitful discussions.","oa":1,"quality_controlled":"1","publisher":"Springer Nature","publication":"Letters in Mathematical Physics","day":"12","year":"2020","isi":1,"has_accepted_license":"1","date_created":"2020-03-23T11:11:47Z","date_published":"2020-03-12T00:00:00Z","doi":"10.1007/s11005-020-01286-w","page":"2143-2174"},{"degree_awarded":"PhD","publication_status":"published","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"file":[{"file_name":"thesis.pdf","date_created":"2020-02-24T09:15:06Z","creator":"dernst","file_size":1563429,"date_updated":"2020-07-14T12:47:59Z","file_id":"7515","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6","relation":"main_file","access_level":"open_access","content_type":"application/pdf"},{"date_created":"2020-02-24T09:15:16Z","file_name":"thesis_source.zip","creator":"dernst","date_updated":"2020-07-14T12:47:59Z","file_size":2028038,"file_id":"7516","checksum":"ad7425867b52d7d9e72296e87bc9cb67","access_level":"closed","relation":"source_file","content_type":"application/x-zip-compressed"}],"ec_funded":1,"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"7524"}]},"abstract":[{"lang":"eng","text":"We study the interacting homogeneous Bose gas in two spatial dimensions in the thermodynamic limit at fixed density. We shall be concerned with some mathematical aspects of this complicated problem in many-body quantum mechanics. More specifically, we consider the dilute limit where the scattering length of the interaction potential, which is a measure for the effective range of the potential, is small compared to the average distance between the particles. We are interested in a setting with positive (i.e., non-zero) temperature. After giving a survey of the relevant literature in the field, we provide some facts and examples to set expectations for the two-dimensional system. The crucial difference to the three-dimensional system is that there is no Bose–Einstein condensate at positive temperature due to the Hohenberg–Mermin–Wagner theorem. However, it turns out that an asymptotic formula for the free energy holds similarly to the three-dimensional case.\r\nWe motivate this formula by considering a toy model with δ interaction potential. By restricting this model Hamiltonian to certain trial states with a quasi-condensate we obtain an upper bound for the free energy that still has the quasi-condensate fraction as a free parameter. When minimizing over the quasi-condensate fraction, we obtain the Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity, which plays an important role in our rigorous contribution. The mathematically rigorous result that we prove concerns the specific free energy in the dilute limit. We give upper and lower bounds on the free energy in terms of the free energy of the non-interacting system and a correction term coming from the interaction. Both bounds match and thus we obtain the leading term of an asymptotic approximation in the dilute limit, provided the thermal wavelength of the particles is of the same order (or larger) than the average distance between the particles. The remarkable feature of this result is its generality: the correction term depends on the interaction potential only through its scattering length and it holds for all nonnegative interaction potentials with finite scattering length that are measurable. In particular, this allows to model an interaction of hard disks."}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"02","date_updated":"2023-09-07T13:12:42Z","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"ddc":["510"],"department":[{"_id":"RoSe"},{"_id":"GradSch"}],"file_date_updated":"2020-07-14T12:47:59Z","_id":"7514","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"dissertation","status":"public","year":"2020","has_accepted_license":"1","day":"24","page":"148","date_created":"2020-02-24T09:17:27Z","doi":"10.15479/AT:ISTA:7514","date_published":"2020-02-24T00:00:00Z","oa":1,"publisher":"Institute of Science and Technology Austria","citation":{"ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","chicago":"Mayer, Simon. “The Free Energy of a Dilute Two-Dimensional Bose Gas.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7514.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.","ieee":"S. Mayer, “The free energy of a dilute two-dimensional Bose gas,” Institute of Science and Technology Austria, 2020.","ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514","apa":"Mayer, S. (2020). The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7514","mla":"Mayer, Simon. The Free Energy of a Dilute Two-Dimensional Bose Gas. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7514."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","author":[{"first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","full_name":"Mayer, Simon","last_name":"Mayer"}],"title":"The free energy of a dilute two-dimensional Bose gas","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}]},{"article_processing_charge":"No","external_id":{"arxiv":["1912.02658"],"isi":["000530448300001"]},"author":[{"first_name":"Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Xiang","last_name":"Li"},{"orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp"},{"orcid":"0000-0001-8823-9777","full_name":"Bighin, Giacomo","last_name":"Bighin","first_name":"Giacomo","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Richard","last_name":"Schmidt","full_name":"Schmidt, Richard"},{"last_name":"Lemeshko","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas"}],"title":"Intermolecular forces and correlations mediated by a phonon bath","citation":{"ama":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 2020;152(16). doi:10.1063/1.5144759","apa":"Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., & Deuchert, A. (2020). Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/1.5144759","ieee":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert, “Intermolecular forces and correlations mediated by a phonon bath,” The Journal of Chemical Physics, vol. 152, no. 16. AIP Publishing, 2020.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","mla":"Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics, vol. 152, no. 16, 164302, AIP Publishing, 2020, doi:10.1063/1.5144759.","ista":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. 2020. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 152(16), 164302.","chicago":"Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics. AIP Publishing, 2020. https://doi.org/10.1063/1.5144759."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment"},{"grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425"},{"grant_number":"M02641","name":"A path-integral approach to composite impurities","_id":"26986C82-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"164302","date_created":"2020-09-30T10:33:17Z","date_published":"2020-04-27T00:00:00Z","doi":"10.1063/1.5144759","year":"2020","isi":1,"publication":"The Journal of Chemical Physics","day":"27","oa":1,"quality_controlled":"1","publisher":"AIP Publishing","acknowledgement":"We are grateful to Areg Ghazaryan for valuable discussions. M.L. acknowledges support from the Austrian Science Fund (FWF) under Project No. P29902-N27 and from the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). G.B. acknowledges support from the Austrian Science Fund (FWF) under Project No. M2461-N27. A.D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the European Research Council (ERC) Grant Agreement No. 694227 and under the Marie Sklodowska-Curie Grant Agreement No. 836146. R.S. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111 – 390814868.","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-07T13:16:42Z","article_type":"original","type":"journal_article","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"status":"public","_id":"8587","ec_funded":1,"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8958"}]},"issue":"16","volume":152,"publication_status":"published","publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.02658"}],"intvolume":" 152","month":"04","abstract":[{"lang":"eng","text":"Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlations between two diatomic molecules immersed in a bath of bosons. By analogy with the bipolaron, we introduce the biangulon quasiparticle describing two rotating molecules that align with respect to each other due to the effective attractive interaction mediated by the excitations of the bath. We study this system in different parameter regimes and apply several theoretical approaches to describe its properties. Using a Born–Oppenheimer approximation, we investigate the dependence of the effective intermolecular interaction on the rotational state of the two molecules. In the strong-coupling regime, a product-state ansatz shows that the molecules tend to have a strong alignment in the ground state. To investigate the system in the weak-coupling regime, we apply a one-phonon excitation variational ansatz, which allows us to access the energy spectrum. In comparison to the angulon quasiparticle, the biangulon shows shifted angulon instabilities and an additional spectral instability, where resonant angular momentum transfer between the molecules and the bath takes place. These features are proposed as an experimentally observable signature for the formation of the biangulon quasiparticle. Finally, by using products of single angulon and bare impurity wave functions as basis states, we introduce a diagonalization scheme that allows us to describe the transition from two separated angulons to a biangulon as a function of the distance between the two molecules."}],"oa_version":"Preprint"},{"type":"journal_article","article_type":"original","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"status":"public","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"_id":"9781","department":[{"_id":"RoSe"}],"date_updated":"2023-09-07T13:30:11Z","ddc":["510"],"scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1904.08647","open_access":"1"}],"month":"02","intvolume":" 52","abstract":[{"text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.","lang":"eng"}],"oa_version":"Preprint","related_material":{"record":[{"relation":"dissertation_contains","id":"9733","status":"public"}]},"volume":52,"issue":"1","ec_funded":1,"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"publication_status":"published","language":[{"iso":"eng"}],"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"author":[{"first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"article_processing_charge":"No","external_id":{"isi":["000546967700022"],"arxiv":["1904.08647 "]},"title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","citation":{"ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x.","apa":"Feliciangeli, D., & Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics . https://doi.org/10.1137/19m126284x","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 2020;52(1):605-622. doi:10.1137/19m126284x","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” SIAM Journal on Mathematical Analysis, vol. 52, no. 1. Society for Industrial & Applied Mathematics , pp. 605–622, 2020.","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis, vol. 52, no. 1, Society for Industrial & Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","publisher":"Society for Industrial & Applied Mathematics ","oa":1,"acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","page":"605-622","doi":"10.1137/19m126284x","date_published":"2020-02-12T00:00:00Z","date_created":"2021-08-06T07:34:16Z","has_accepted_license":"1","isi":1,"year":"2020","day":"12","publication":"SIAM Journal on Mathematical Analysis"},{"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385"}],"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","author":[{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"external_id":{"isi":["000578111800002"],"arxiv":["2003.12371"]},"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.","ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3.","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020;21(12):4003-4025. doi:10.1007/s00023-020-00969-3","apa":"Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-020-00969-3","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” Annales Henri Poincare, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025."},"quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)","date_published":"2020-12-01T00:00:00Z","doi":"10.1007/s00023-020-00969-3","date_created":"2020-10-25T23:01:19Z","page":"4003-4025","day":"01","publication":"Annales Henri Poincare","isi":1,"has_accepted_license":"1","year":"2020","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"8705","file_date_updated":"2020-10-27T12:49:04Z","department":[{"_id":"RoSe"}],"ddc":["530"],"date_updated":"2023-09-07T13:43:51Z","month":"12","intvolume":" 21","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model.","lang":"eng"}],"volume":21,"issue":"12","related_material":{"record":[{"status":"public","id":"11473","relation":"dissertation_contains"}]},"ec_funded":1,"file":[{"success":1,"checksum":"c12c9c1e6f08def245e42f3cb1d83827","file_id":"8711","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"2020_Annales_Mysliwy.pdf","date_created":"2020-10-27T12:49:04Z","file_size":469831,"date_updated":"2020-10-27T12:49:04Z","creator":"cziletti"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1424-0637"]},"publication_status":"published"}]