[{"citation":{"ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” Atoms, vol. 9, no. 4. MDPI, 2021.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. Atoms. MDPI. https://doi.org/10.3390/atoms9040106","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms, vol. 9, no. 4, 106, MDPI, 2021, doi:10.3390/atoms9040106.","chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms. MDPI, 2021. https://doi.org/10.3390/atoms9040106."},"publication":"Atoms","article_type":"original","date_published":"2021-12-02T00:00:00Z","scopus_import":"1","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"article_processing_charge":"Yes","has_accepted_license":"1","day":"02","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"10585","intvolume":" 9","ddc":["530"],"title":"Emergence of anyons on the two-sphere in molecular impurities","status":"public","oa_version":"Published Version","file":[{"creator":"alisjak","content_type":"application/pdf","file_size":303070,"file_name":"2021_Atoms_Brooks.pdf","access_level":"open_access","date_updated":"2022-01-03T10:15:05Z","date_created":"2022-01-03T10:15:05Z","success":1,"checksum":"d0e44b95f36c9e06724f66832af0f8c3","file_id":"10592","relation":"main_file"}],"type":"journal_article","issue":"4","abstract":[{"text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle","lang":"eng"}],"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":{"arxiv":["2108.06966"]},"quality_controlled":"1","doi":"10.3390/atoms9040106","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2218-2004"]},"month":"12","year":"2021","acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804).","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"MDPI","publication_status":"published","author":[{"full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks","first_name":"Morris"},{"full_name":"Lemeshko, Mikhail","first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802"},{"first_name":"Douglas","last_name":"Lundholm","full_name":"Lundholm, Douglas"},{"last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp"}],"volume":9,"date_created":"2022-01-02T23:01:33Z","date_updated":"2023-06-15T14:51:49Z","article_number":"106","file_date_updated":"2022-01-03T10:15:05Z"},{"issue":"1","abstract":[{"lang":"eng","text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein."}],"type":"journal_article","oa_version":"Preprint","intvolume":" 33","status":"public","title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7685","article_processing_charge":"No","day":"01","scopus_import":"1","date_published":"2021-01-01T00:00:00Z","article_type":"original","citation":{"ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/S0129055X20600065","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/S0129055X20600065","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060006, World Scientific, 2021, doi:10.1142/S0129055X20600065.","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/S0129055X20600065."},"publication":"Reviews in Mathematical Physics","ec_funded":1,"article_number":"2060006","volume":33,"date_created":"2020-04-26T22:00:45Z","date_updated":"2023-08-04T10:50:13Z","author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","first_name":"Chiara","full_name":"Boccato, Chiara"}],"department":[{"_id":"RoSe"}],"publisher":"World Scientific","publication_status":"published","year":"2021","publication_identifier":{"issn":["0129-055X"]},"month":"01","language":[{"iso":"eng"}],"doi":"10.1142/S0129055X20600065","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","oa":1,"external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2001.00497"}]},{"has_accepted_license":"1","article_processing_charge":"No","day":"01","scopus_import":"1","date_published":"2021-03-01T00:00:00Z","citation":{"ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 2021;74(3):544-588. doi:10.1002/cpa.21944","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","apa":"Frank, R., & Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21944","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” Communications on Pure and Applied Mathematics, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944."},"publication":"Communications on Pure and Applied Mathematics","page":"544-588","article_type":"original","issue":"3","abstract":[{"text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.","lang":"eng"}],"type":"journal_article","file":[{"checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","success":1,"date_created":"2021-03-11T10:03:30Z","date_updated":"2021-03-11T10:03:30Z","relation":"main_file","file_id":"9236","content_type":"application/pdf","file_size":334987,"creator":"dernst","access_level":"open_access","file_name":"2021_CommPureApplMath_Frank.pdf"}],"oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8603","intvolume":" 74","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","status":"public","ddc":["510"],"publication_identifier":{"issn":["00103640"],"eissn":["10970312"]},"month":"03","doi":"10.1002/cpa.21944","language":[{"iso":"eng"}],"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":["000572991500001"]},"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"quality_controlled":"1","isi":1,"ec_funded":1,"file_date_updated":"2021-03-11T10:03:30Z","author":[{"full_name":"Frank, Rupert","last_name":"Frank","first_name":"Rupert"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"volume":74,"date_created":"2020-10-04T22:01:37Z","date_updated":"2023-08-04T11:02:16Z","year":"2021","acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","department":[{"_id":"RoSe"}],"publisher":"Wiley","publication_status":"published"},{"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"American Physical Society","publication_status":"published","year":"2021","acknowledgement":"We are grateful to A. Ghazaryan for valuable discussions and also thank the anonymous referees for comments. D.L. acknowledges financial support from the G¨oran Gustafsson Foundation (grant no. 1804) and LMU Munich. M.L. gratefully acknowledges financial support\r\nby the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 801770).","volume":126,"date_updated":"2023-08-07T13:32:10Z","date_created":"2021-01-17T23:01:10Z","related_material":{"record":[{"id":"12390","relation":"dissertation_contains","status":"public"}],"link":[{"description":"News on IST Homepage","relation":"press_release","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/"}]},"author":[{"full_name":"Brooks, Morris","first_name":"Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928"},{"full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","last_name":"Lemeshko"},{"first_name":"D.","last_name":"Lundholm","full_name":"Lundholm, D."},{"last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp"}],"article_number":"015301","ec_funded":1,"project":[{"grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle"}],"quality_controlled":"1","isi":1,"oa":1,"external_id":{"arxiv":["2009.05948"],"isi":["000606325000003"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.05948"}],"language":[{"iso":"eng"}],"doi":"10.1103/PhysRevLett.126.015301","publication_identifier":{"eissn":["10797114"],"issn":["00319007"]},"month":"01","intvolume":" 126","title":"Molecular impurities as a realization of anyons on the two-sphere","status":"public","_id":"9005","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","type":"journal_article","issue":"1","abstract":[{"lang":"eng","text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field."}],"article_type":"original","citation":{"chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.015301.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:10.1103/PhysRevLett.126.015301.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.126.015301","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” Physical Review Letters, vol. 126, no. 1. American Physical Society, 2021.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 126(1), 015301.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301"},"publication":"Physical Review Letters","date_published":"2021-01-08T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"08"},{"date_published":"2021-02-26T00:00:00Z","page":"383-417","article_type":"original","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.","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.","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","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."},"publication":"Archive for Rational Mechanics and Analysis","article_processing_charge":"No","has_accepted_license":"1","day":"26","scopus_import":"1","file":[{"file_id":"9270","relation":"main_file","date_updated":"2021-03-22T08:31:29Z","date_created":"2021-03-22T08:31:29Z","success":1,"checksum":"23449e44dc5132501a5c86e70638800f","file_name":"2021_ArchRationalMechAnal_Leopold.pdf","access_level":"open_access","creator":"dernst","file_size":558006,"content_type":"application/pdf"}],"oa_version":"Published Version","intvolume":" 240","status":"public","ddc":["510"],"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9246","abstract":[{"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.","lang":"eng"}],"type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1007/s00205-021-01616-9","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"isi":1,"quality_controlled":"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"},"oa":1,"external_id":{"isi":["000622226200001"],"arxiv":["2001.03993"]},"publication_identifier":{"issn":["00039527"],"eissn":["14320673"]},"month":"02","volume":240,"date_updated":"2023-08-07T14:12:27Z","date_created":"2021-03-14T23:01:34Z","author":[{"first_name":"Nikolai K","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K"},{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","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"}],"department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","year":"2021","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.","ec_funded":1,"file_date_updated":"2021-03-22T08:31:29Z"},{"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":["000626837400001"]},"isi":1,"quality_controlled":"1","doi":"10.1007/s11005-021-01375-4","language":[{"iso":"eng"}],"publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"month":"03","acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","year":"2021","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"full_name":"Napiórkowski, Marcin M","first_name":"Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"volume":111,"date_updated":"2023-08-07T14:17:00Z","date_created":"2021-03-21T23:01:19Z","article_number":"31","file_date_updated":"2021-03-22T11:01:09Z","citation":{"chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.","mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","apa":"Napiórkowski, M. M., & Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01375-4","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” Letters in Mathematical Physics, vol. 111, no. 2. Springer Nature, 2021.","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 2021;111(2). doi:10.1007/s11005-021-01375-4"},"publication":"Letters in Mathematical Physics","article_type":"original","date_published":"2021-03-09T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"09","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9256","intvolume":" 111","ddc":["510"],"title":"Free energy asymptotics of the quantum Heisenberg spin chain","status":"public","file":[{"file_size":397962,"content_type":"application/pdf","creator":"dernst","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","access_level":"open_access","date_updated":"2021-03-22T11:01:09Z","date_created":"2021-03-22T11:01:09Z","checksum":"687fef1525789c0950de90468dd81604","success":1,"relation":"main_file","file_id":"9273"}],"oa_version":"Published Version","type":"journal_article","issue":"2","abstract":[{"text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature.","lang":"eng"}]},{"publication_identifier":{"eissn":["20505094"]},"month":"03","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":["000634006900001"]},"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","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","isi":1,"doi":"10.1017/fms.2021.22","language":[{"iso":"eng"}],"article_number":"e28","ec_funded":1,"file_date_updated":"2021-04-12T07:15:58Z","year":"2021","acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","publisher":"Cambridge University Press","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","first_name":"Lea"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"volume":9,"date_updated":"2023-08-07T14:35:06Z","date_created":"2021-04-11T22:01:15Z","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"26","citation":{"ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.22","ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","apa":"Bossmann, L., Petrat, S. P., & Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.22","ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22."},"publication":"Forum of Mathematics, Sigma","article_type":"original","date_published":"2021-03-26T00:00:00Z","type":"journal_article","abstract":[{"text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N.","lang":"eng"}],"_id":"9318","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 9","status":"public","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","ddc":["510"],"oa_version":"Published Version","file":[{"creator":"dernst","content_type":"application/pdf","file_size":883851,"file_name":"2021_ForumMath_Bossmann.pdf","access_level":"open_access","date_created":"2021-04-12T07:15:58Z","date_updated":"2021-04-12T07:15:58Z","success":1,"checksum":"17a3e6786d1e930cf0c14a880a6d7e92","file_id":"9319","relation":"main_file"}]},{"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"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.","year":"2021","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","quality_controlled":"1","isi":1,"external_id":{"isi":["000637359300002"]},"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/s11005-021-01380-7","month":"04","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"status":"public","ddc":["510"],"title":"A note on the Fröhlich dynamics in the strong coupling limit","intvolume":" 111","_id":"9333","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"relation":"main_file","file_id":"9341","date_created":"2021-04-19T10:40:01Z","date_updated":"2021-04-19T10:40:01Z","checksum":"be56c0845a43c0c5c772ee0b5053f7d7","success":1,"file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","access_level":"open_access","content_type":"application/pdf","file_size":438084,"creator":"dernst"}],"oa_version":"Published Version","type":"journal_article","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."}],"article_type":"original","publication":"Letters in Mathematical Physics","citation":{"chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01380-7.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","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.","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","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","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","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"},"date_published":"2021-04-05T00:00:00Z","scopus_import":"1","day":"05","article_processing_charge":"No","has_accepted_license":"1"},{"file_date_updated":"2021-10-15T11:15:40Z","ec_funded":1,"date_created":"2021-04-25T22:01:30Z","date_updated":"2023-08-08T13:14:40Z","volume":22,"author":[{"full_name":"Kirkpatrick, Kay","last_name":"Kirkpatrick","first_name":"Kay"},{"full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","year":"2021","month":"04","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01044-1","quality_controlled":"1","isi":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"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":{"arxiv":["2010.13754"],"isi":["000638022600001"]},"abstract":[{"text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. ","lang":"eng"}],"type":"journal_article","file":[{"access_level":"open_access","file_name":"2021_Annales_Kirkpatrick.pdf","file_size":522669,"content_type":"application/pdf","creator":"cchlebak","relation":"main_file","file_id":"10143","checksum":"1a0fb963f2f415ba470881a794f20eb6","success":1,"date_created":"2021-10-15T11:15:40Z","date_updated":"2021-10-15T11:15:40Z"}],"oa_version":"Published Version","title":"A large deviation principle in many-body quantum dynamics","ddc":["530"],"status":"public","intvolume":" 22","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9351","day":"08","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","date_published":"2021-04-08T00:00:00Z","article_type":"original","page":"2595-2618","publication":"Annales Henri Poincare","citation":{"mla":"Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:10.1007/s00023-021-01044-1.","short":"K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618.","chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01044-1.","ama":"Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 2021;22:2595-2618. doi:10.1007/s00023-021-01044-1","ista":"Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.","ieee":"K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” Annales Henri Poincare, vol. 22. Springer Nature, pp. 2595–2618, 2021.","apa":"Kirkpatrick, K., Rademacher, S. A. E., & Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-021-01044-1"}},{"issue":"3","abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"type":"journal_article","oa_version":"Preprint","intvolume":" 281","title":"Sharp tunneling estimates for a double-well model in infinite dimension","status":"public","_id":"9348","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","day":"07","scopus_import":"1","date_published":"2021-04-07T00:00:00Z","article_type":"original","citation":{"short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis, vol. 281, no. 3, 109029, Elsevier, 2021, doi:10.1016/j.jfa.2021.109029.","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109029.","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029","apa":"Brooks, M., & Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109029","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” Journal of Functional Analysis, vol. 281, no. 3. Elsevier, 2021.","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029."},"publication":"Journal of Functional Analysis","article_number":"109029","volume":281,"date_created":"2021-04-25T22:01:29Z","date_updated":"2023-08-08T13:15:11Z","author":[{"first_name":"Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris"},{"last_name":"Di Gesù","first_name":"Giacomo","full_name":"Di Gesù, Giacomo"}],"department":[{"_id":"RoSe"}],"publisher":"Elsevier","publication_status":"published","acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","year":"2021","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"month":"04","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2021.109029","isi":1,"quality_controlled":"1","oa":1,"external_id":{"arxiv":["1911.03187"],"isi":["000644702800005"]},"main_file_link":[{"url":"https://arxiv.org/abs/1911.03187","open_access":"1"}]},{"date_published":"2021-09-15T00:00:00Z","article_type":"original","publication":"Journal of Functional Analysis","citation":{"chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","apa":"Deuchert, A., & Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109096","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” Journal of Functional Analysis, vol. 281, no. 6. Elsevier, 2021.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 2021;281(6). doi:10.1016/j.jfa.2021.109096"},"day":"15","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","status":"public","title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","intvolume":" 281","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9462","abstract":[{"lang":"eng","text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions."}],"issue":"6","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2021.109096","isi":1,"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"oa":1,"external_id":{"isi":["000656508600008"],"arxiv":["2009.00992"]},"main_file_link":[{"url":"https://arxiv.org/abs/2009.00992","open_access":"1"}],"month":"09","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"date_updated":"2023-08-08T13:56:27Z","date_created":"2021-06-06T22:01:28Z","volume":281,"author":[{"last_name":"Deuchert","first_name":"Andreas","full_name":"Deuchert, Andreas"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Elsevier","acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","year":"2021","ec_funded":1,"article_number":"109096"},{"article_processing_charge":"No","has_accepted_license":"1","day":"01","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","date_published":"2021-08-01T00:00:00Z","article_type":"original","citation":{"ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021. https://doi.org/10.1063/5.0053494.","mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:10.1063/5.0053494.","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021)."},"publication":"Journal of Mathematical Physics","issue":"8","abstract":[{"lang":"eng","text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations."}],"type":"journal_article","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2021_JMathPhy_Lauritsen.pdf","creator":"cziletti","content_type":"application/pdf","file_size":4352640,"file_id":"10188","relation":"main_file","success":1,"checksum":"d035be2b894c4d50d90ac5ce252e27cd","date_created":"2021-10-27T12:57:06Z","date_updated":"2021-10-27T12:57:06Z"}],"intvolume":" 62","title":"Floating Wigner crystal and periodic jellium configurations","status":"public","ddc":["530"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9891","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"month":"08","language":[{"iso":"eng"}],"doi":"10.1063/5.0053494","isi":1,"quality_controlled":"1","external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"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,"file_date_updated":"2021-10-27T12:57:06Z","article_number":"083305","volume":62,"date_created":"2021-08-12T07:08:36Z","date_updated":"2023-08-11T10:29:48Z","author":[{"first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard"}],"publisher":"AIP Publishing","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publication_status":"published","year":"2021","acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes."},{"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","ddc":["530"],"status":"public","intvolume":" 242","_id":"10224","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"success":1,"checksum":"672e9c21b20f1a50854b7c821edbb92f","date_updated":"2021-12-14T08:35:42Z","date_created":"2021-12-14T08:35:42Z","file_id":"10544","relation":"main_file","creator":"alisjak","content_type":"application/pdf","file_size":990529,"access_level":"open_access","file_name":"2021_Springer_Feliciangeli.pdf"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"issue":"3","article_type":"original","page":"1835–1906","publication":"Archive for Rational Mechanics and Analysis","citation":{"ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7","ista":"Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.","apa":"Feliciangeli, D., & Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01715-7","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” Archive for Rational Mechanics and Analysis, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:10.1007/s00205-021-01715-7.","short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7."},"date_published":"2021-10-25T00:00:00Z","scopus_import":"1","day":"25","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","year":"2021","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","date_created":"2021-11-07T23:01:26Z","date_updated":"2023-08-14T10:32:19Z","volume":242,"author":[{"orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario","full_name":"Feliciangeli, Dario"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"9787"}]},"file_date_updated":"2021-12-14T08:35:42Z","ec_funded":1,"quality_controlled":"1","isi":1,"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"external_id":{"arxiv":["2101.12566"],"isi":["000710850600001"]},"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/s00205-021-01715-7","month":"10","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]}},{"type":"journal_article","abstract":[{"text":"We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations.","lang":"eng"}],"status":"public","title":"Bosonization of fermionic many-body dynamics","_id":"10537","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","scopus_import":"1","day":"02","article_processing_charge":"No","article_type":"original","publication":"Annales Henri Poincaré","citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).","mla":"Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. Springer Nature. https://doi.org/10.1007/s00023-021-01136-y","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” Annales Henri Poincaré. Springer Nature, 2021.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y"},"date_published":"2021-12-02T00:00:00Z","ec_funded":1,"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"acknowledgement":"NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM). RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates,” and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the ERC-AdG CLaQS (Grant Agreement No. 834782).","year":"2021","date_updated":"2023-08-17T06:19:14Z","date_created":"2021-12-12T23:01:28Z","author":[{"full_name":"Benedikter, Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","first_name":"Niels P","last_name":"Benedikter"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"last_name":"Porta","first_name":"Marcello","full_name":"Porta, Marcello"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"month":"12","publication_identifier":{"issn":["1424-0637"]},"quality_controlled":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2103.08224"}],"external_id":{"arxiv":["2103.08224"],"isi":["000725405700001"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01136-y"},{"file_date_updated":"2022-05-16T12:23:40Z","ec_funded":1,"author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","first_name":"Niels P","last_name":"Benedikter","full_name":"Benedikter, Niels P"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"date_updated":"2023-08-21T06:30:30Z","date_created":"2020-05-28T16:48:20Z","volume":225,"acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","year":"2021","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","month":"05","publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"doi":"10.1007/s00222-021-01041-5","language":[{"iso":"eng"}],"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":{"arxiv":["2005.08933"],"isi":["000646573600001"]},"isi":1,"quality_controlled":"1","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.","lang":"eng"}],"type":"journal_article","file":[{"date_created":"2022-05-16T12:23:40Z","date_updated":"2022-05-16T12:23:40Z","checksum":"f38c79dfd828cdc7f49a34b37b83d376","success":1,"relation":"main_file","file_id":"11386","file_size":1089319,"content_type":"application/pdf","creator":"dernst","file_name":"2021_InventMath_Benedikter.pdf","access_level":"open_access"}],"oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7901","title":"Correlation energy of a weakly interacting Fermi gas","status":"public","ddc":["510"],"intvolume":" 225","day":"03","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","date_published":"2021-05-03T00:00:00Z","publication":"Inventiones Mathematicae","citation":{"mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979, doi:10.1007/s00222-021-01041-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 2021;225:885-979. doi:10.1007/s00222-021-01041-5","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-021-01041-5","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” Inventiones Mathematicae, vol. 225. Springer, pp. 885–979, 2021."},"article_type":"original","page":"885-979"},{"oa_version":"Preprint","status":"public","title":"Bosonic collective excitations in Fermi gases","intvolume":" 33","_id":"7900","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","abstract":[{"lang":"eng","text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation."}],"issue":"1","type":"journal_article","date_published":"2021-01-01T00:00:00Z","article_type":"original","publication":"Reviews in Mathematical Physics","citation":{"chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/s0129055x20600090.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:10.1142/s0129055x20600090.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/s0129055x20600090","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/s0129055x20600090"},"day":"01","article_processing_charge":"No","scopus_import":"1","date_updated":"2023-09-05T16:07:40Z","date_created":"2020-05-28T16:47:55Z","volume":33,"author":[{"last_name":"Benedikter","first_name":"Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P"}],"publication_status":"published","publisher":"World Scientific","department":[{"_id":"RoSe"}],"year":"2021","ec_funded":1,"article_number":"2060009","language":[{"iso":"eng"}],"doi":"10.1142/s0129055x20600090","quality_controlled":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"month":"01","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]}},{"ec_funded":1,"article_number":"2060012","volume":33,"date_updated":"2023-09-05T16:08:02Z","date_created":"2022-03-18T08:11:34Z","author":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"department":[{"_id":"RoSe"}],"publisher":"World Scientific Publishing","publication_status":"published","year":"2021","acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"month":"02","language":[{"iso":"eng"}],"doi":"10.1142/s0129055x20600120","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","oa":1,"external_id":{"isi":["000613313200013"],"arxiv":["1912.12509"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"issue":"01","abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}],"type":"journal_article","oa_version":"Preprint","intvolume":" 33","status":"public","title":"The polaron at strong coupling","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"10852","article_processing_charge":"No","day":"01","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","date_published":"2021-02-01T00:00:00Z","article_type":"original","citation":{"short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.","ama":"Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics. 2021;33(01). doi:10.1142/s0129055x20600120","apa":"Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120","ieee":"R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical Physics, vol. 33, no. 01. World Scientific Publishing, 2021.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012."},"publication":"Reviews in Mathematical Physics"},{"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"11","citation":{"apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5."},"publication":"Letters in Mathematical Physics","article_type":"original","date_published":"2021-02-11T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times."}],"_id":"9225","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 111","ddc":["510"],"title":"Persistence of the spectral gap for the Landau–Pekar equations","status":"public","file":[{"creator":"dernst","file_size":391205,"content_type":"application/pdf","access_level":"open_access","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","success":1,"checksum":"ffbfe1aad623bce7ff529c207e343b53","date_created":"2021-03-09T11:44:34Z","date_updated":"2021-03-09T11:44:34Z","file_id":"9232","relation":"main_file"}],"oa_version":"Published Version","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"month":"02","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":["000617195700001"]},"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"quality_controlled":"1","doi":"10.1007/s11005-020-01350-5","language":[{"iso":"eng"}],"article_number":"19","ec_funded":1,"file_date_updated":"2021-03-09T11:44:34Z","year":"2021","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"9733"}]},"author":[{"last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario"},{"full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"volume":111,"date_created":"2021-03-07T23:01:25Z","date_updated":"2023-09-07T13:30:11Z"},{"abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"type":"preprint","oa_version":"Preprint","status":"public","ddc":["510"],"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","_id":"9787","day":"01","has_accepted_license":"1","article_processing_charge":"No","date_published":"2021-02-01T00:00:00Z","publication":"arXiv","citation":{"mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” arXiv. .","apa":"Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv."},"ec_funded":1,"article_number":"2101.12566","date_updated":"2023-09-07T13:30:10Z","date_created":"2021-08-06T08:25:57Z","author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"status":"public","relation":"later_version","id":"10224"},{"relation":"dissertation_contains","status":"public","id":"9733"}]},"publication_status":"submitted","department":[{"_id":"RoSe"}],"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","year":"2021","month":"02","language":[{"iso":"eng"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2101.12566"}],"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":{"arxiv":["2101.12566"]}},{"publication":"Analysis and PDE","citation":{"ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” Analysis and PDE, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/APDE.2021.14.2079","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 2021;14(7):2079-2100. doi:10.2140/APDE.2021.14.2079","chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079.","short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079."},"article_type":"original","page":"2079-2100","date_published":"2021-11-10T00:00:00Z","scopus_import":"1","day":"10","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"10738","title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","status":"public","intvolume":" 14","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2."}],"issue":"7","oa":1,"external_id":{"isi":["000733976600004"],"arxiv":["1904.12532"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"quality_controlled":"1","isi":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"doi":"10.2140/APDE.2021.14.2079","language":[{"iso":"eng"}],"month":"11","publication_identifier":{"issn":["2157-5045"],"eissn":["1948-206X"]},"acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n","year":"2021","publication_status":"published","publisher":"Mathematical Sciences Publishers","department":[{"_id":"RoSe"}],"author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K","full_name":"Leopold, Nikolai K"},{"full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","first_name":"Simone Anna Elvira"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"date_created":"2022-02-06T23:01:33Z","date_updated":"2023-10-17T11:26:45Z","volume":14,"ec_funded":1},{"month":"07","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":{"arxiv":["2106.11217"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"doi":"10.48550/arXiv.2106.11217","language":[{"iso":"eng"}],"article_number":"2106.11217","ec_funded":1,"year":"2021","acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","publication_status":"submitted","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario"},{"full_name":"Gerolin, Augusto","first_name":"Augusto","last_name":"Gerolin"},{"first_name":"Lorenzo","last_name":"Portinale","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","full_name":"Portinale, Lorenzo"}],"related_material":{"record":[{"id":"9733","relation":"dissertation_contains","status":"public"},{"relation":"dissertation_contains","status":"public","id":"10030"},{"id":"12911","status":"public","relation":"later_version"}]},"date_updated":"2023-11-14T13:21:01Z","date_created":"2021-08-06T09:07:12Z","day":"21","article_processing_charge":"No","has_accepted_license":"1","publication":"arXiv","citation":{"ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217.","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. .","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. https://doi.org/10.48550/arXiv.2106.11217","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. doi:10.48550/arXiv.2106.11217","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, 2106.11217, doi:10.48550/arXiv.2106.11217.","short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.)."},"date_published":"2021-07-21T00:00:00Z","type":"preprint","abstract":[{"lang":"eng","text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem."}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"9792","status":"public","ddc":["510"],"title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","oa_version":"Preprint"},{"project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"quality_controlled":"1","oa":1,"external_id":{"arxiv":["2005.02098"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.653","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"month":"10","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_updated":"2024-02-05T10:02:45Z","date_created":"2024-01-28T23:01:43Z","author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","last_name":"Leopold","full_name":"Leopold, Nikolai K"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"ec_funded":1,"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","scopus_import":"1","article_processing_charge":"No","day":"01","intvolume":" 3","title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","status":"public","_id":"14889","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","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"}]},{"ec_funded":1,"date_created":"2024-01-28T23:01:43Z","date_updated":"2024-02-05T09:26:31Z","volume":3,"author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","first_name":"Lea","last_name":"Bossmann"},{"full_name":"Petrat, Sören P","last_name":"Petrat","first_name":"Sören P","orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"},{"last_name":"Soffer","first_name":"Avy","full_name":"Soffer, Avy"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Mathematical Sciences Publishers","year":"2021","acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411.","month":"10","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.677","quality_controlled":"1","project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"external_id":{"arxiv":["1912.11004"]},"oa":1,"abstract":[{"text":"We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in terms of the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the condensate, as well as the reduced densities of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. In this way, the complex problem of computing all n-point correlation functions for an interacting N-body system is essentially reduced to the problem of solving the Hartree equation and the PDEs for the Bogoliubov two-point functions.","lang":"eng"}],"issue":"4","type":"journal_article","oa_version":"Preprint","title":"Beyond Bogoliubov dynamics","status":"public","intvolume":" 3","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14890","day":"01","article_processing_charge":"No","scopus_import":"1","date_published":"2021-10-01T00:00:00Z","article_type":"original","page":"677-726","publication":"Pure and Applied Analysis","citation":{"short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:10.2140/paa.2021.3.677.","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.677.","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 2021;3(4):677-726. doi:10.2140/paa.2021.3.677","apa":"Bossmann, L., Petrat, S. P., Pickl, P., & Soffer, A. (2021). Beyond Bogoliubov dynamics. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.677","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726."}},{"month":"08","publication_identifier":{"issn":["2663-337X"]},"tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"oa":1,"project":[{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"doi":"10.15479/at:ista:9733","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"},{"full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","first_name":"Jan"}],"degree_awarded":"PhD","language":[{"iso":"eng"}],"file_date_updated":"2022-03-10T12:13:57Z","ec_funded":1,"license":"https://creativecommons.org/licenses/by-nd/4.0/","year":"2021","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"publisher":"Institute of Science and Technology Austria","author":[{"full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"}],"related_material":{"record":[{"id":"9787","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"9792"},{"relation":"part_of_dissertation","status":"public","id":"9225"},{"id":"9781","relation":"part_of_dissertation","status":"public"},{"id":"9791","status":"public","relation":"part_of_dissertation"}]},"date_created":"2021-07-27T15:48:30Z","date_updated":"2024-03-06T12:30:44Z","day":"20","article_processing_charge":"No","has_accepted_license":"1","citation":{"short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","mla":"Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9733.","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:10.15479/at:ista:9733","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","apa":"Feliciangeli, D. (2021). The polaron at strong coupling. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9733","ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria."},"page":"180","date_published":"2021-08-20T00:00:00Z","type":"dissertation","alternative_title":["ISTA Thesis"],"abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"_id":"9733","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","ddc":["515","519","539"],"title":"The polaron at strong coupling","file":[{"creator":"dfelicia","content_type":"application/pdf","file_size":1958710,"access_level":"open_access","file_name":"Thesis_FeliciangeliA.pdf","checksum":"e88bb8ca43948abe060eb2d2fa719881","date_created":"2021-08-19T14:03:48Z","date_updated":"2021-09-06T09:28:56Z","file_id":"9944","relation":"main_file"},{"file_id":"9945","relation":"source_file","date_created":"2021-08-19T14:06:35Z","date_updated":"2022-03-10T12:13:57Z","checksum":"72810843abee83705853505b3f8348aa","file_name":"thesis.7z","access_level":"closed","creator":"dfelicia","content_type":"application/octet-stream","file_size":3771669}],"oa_version":"Published Version"},{"author":[{"last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario"},{"first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"related_material":{"record":[{"status":"public","relation":"later_version","id":"10755"},{"id":"9733","status":"public","relation":"dissertation_contains"}]},"date_created":"2021-08-06T08:49:45Z","date_updated":"2024-03-06T12:30:45Z","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"9791","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","year":"2021","ddc":["510"],"publication_status":"submitted","status":"public","title":"The effective mass problem for the Landau-Pekar equations","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar."}],"ec_funded":1,"article_number":"2107.03720 ","type":"preprint","date_published":"2021-07-08T00:00:00Z","language":[{"iso":"eng"}],"publication":"arXiv","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"external_id":{"arxiv":["2107.03720"]},"citation":{"ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” arXiv. .","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. arXiv.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.","short":"D. Feliciangeli, S.A.E. Rademacher, R. 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We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","status":"public","ddc":["530"],"intvolume":" 374","_id":"6649","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"creator":"dernst","file_size":853289,"content_type":"application/pdf","file_name":"2019_CommMathPhysics_Benedikter.pdf","access_level":"open_access","date_updated":"2020-07-14T12:47:35Z","date_created":"2019-07-24T07:19:10Z","checksum":"f9dd6dd615a698f1d3636c4a092fed23","file_id":"6668","relation":"main_file"}],"oa_version":"Published Version","scopus_import":"1","day":"01","article_processing_charge":"No","has_accepted_license":"1","article_type":"original","page":"2097–2150","publication":"Communications in Mathematical Physics","citation":{"short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374. Springer Nature, pp. 2097–2150, 2020.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. 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This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","year":"2020","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","first_name":"Lea","last_name":"Bossmann"},{"full_name":"Pavlović, Nataša","last_name":"Pavlović","first_name":"Nataša"},{"full_name":"Pickl, Peter","first_name":"Peter","last_name":"Pickl"},{"first_name":"Avy","last_name":"Soffer","full_name":"Soffer, Avy"}],"volume":178,"date_created":"2020-02-23T09:45:51Z","date_updated":"2023-08-18T06:37:46Z","ec_funded":1,"file_date_updated":"2020-11-20T09:26:46Z","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":["1905.06164"],"isi":["000516342200001"]},"oa":1,"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","isi":1,"doi":"10.1007/s10955-020-02500-8","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"month":"02","_id":"7508","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 178","ddc":["510"],"title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","status":"public","oa_version":"Published Version","file":[{"file_size":576726,"content_type":"application/pdf","creator":"dernst","file_name":"2020_JournStatPhysics_Bossmann.pdf","access_level":"open_access","date_created":"2020-11-20T09:26:46Z","date_updated":"2020-11-20T09:26:46Z","checksum":"643e230bf147e64d9cdb3f6cc573679d","success":1,"relation":"main_file","file_id":"8780"}],"type":"journal_article","abstract":[{"text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution.","lang":"eng"}],"citation":{"mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8.","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8.","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8","ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396.","apa":"Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020."},"publication":"Journal of Statistical Physics","page":"1362-1396","article_type":"original","date_published":"2020-02-21T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"21"},{"language":[{"iso":"eng"}],"doi":"10.1017/fms.2020.17","quality_controlled":"1","isi":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"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":["000527342000001"],"arxiv":["1910.03372"]},"month":"03","publication_identifier":{"eissn":["20505094"]},"date_created":"2020-05-03T22:00:48Z","date_updated":"2023-08-21T06:18:49Z","volume":8,"author":[{"last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas"},{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","last_name":"Mayer","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"related_material":{"record":[{"id":"7524","relation":"earlier_version","status":"public"}]},"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Cambridge University Press","year":"2020","file_date_updated":"2020-07-14T12:48:03Z","ec_funded":1,"article_number":"e20","date_published":"2020-03-14T00:00:00Z","article_type":"original","publication":"Forum of Mathematics, Sigma","citation":{"ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2020.17","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8. Cambridge University Press, 2020.","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.","short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17."},"day":"14","article_processing_charge":"No","has_accepted_license":"1","scopus_import":"1","oa_version":"Published Version","file":[{"checksum":"8a64da99d107686997876d7cad8cfe1e","date_updated":"2020-07-14T12:48:03Z","date_created":"2020-05-04T12:02:41Z","relation":"main_file","file_id":"7797","content_type":"application/pdf","file_size":692530,"creator":"dernst","access_level":"open_access","file_name":"2020_ForumMath_Deuchert.pdf"}],"status":"public","title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","ddc":["510"],"intvolume":" 8","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7790","abstract":[{"lang":"eng","text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 ."}],"type":"journal_article"},{"date_updated":"2023-08-22T07:47:04Z","date_created":"2020-06-29T07:59:35Z","volume":22,"author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","first_name":"Chiara","full_name":"Boccato, Chiara"},{"last_name":"Brennecke","first_name":"Christian","full_name":"Brennecke, Christian"},{"full_name":"Cenatiempo, Serena","first_name":"Serena","last_name":"Cenatiempo"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"}],"publication_status":"published","publisher":"European Mathematical Society","department":[{"_id":"RoSe"}],"year":"2020","language":[{"iso":"eng"}],"doi":"10.4171/JEMS/966","isi":1,"quality_controlled":"1","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1704.04819","open_access":"1"}],"external_id":{"isi":["000548174700006"],"arxiv":["1704.04819"]},"month":"07","publication_identifier":{"issn":["14359855"]},"oa_version":"Preprint","status":"public","title":"The excitation spectrum of Bose gases interacting through singular potentials","intvolume":" 22","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8042","abstract":[{"lang":"eng","text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N."}],"issue":"7","type":"journal_article","date_published":"2020-07-01T00:00:00Z","article_type":"original","page":"2331-2403","publication":"Journal of the European Mathematical Society","citation":{"ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society. European Mathematical Society, 2020. https://doi.org/10.4171/JEMS/966."},"day":"01","article_processing_charge":"No","scopus_import":"1"},{"author":[{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"volume":181,"date_created":"2020-07-05T22:00:46Z","date_updated":"2023-08-22T07:51:47Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","year":"2020","publisher":"Springer","department":[{"_id":"RoSe"}],"publication_status":"published","ec_funded":1,"file_date_updated":"2020-11-25T15:05:04Z","doi":"10.1007/s10955-020-02586-0","language":[{"iso":"eng"}],"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":["2001.07144"],"isi":["000543030000002"]},"oa":1,"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"isi":1,"quality_controlled":"1","publication_identifier":{"issn":["00224715"],"eissn":["15729613"]},"month":"10","oa_version":"Published Version","file":[{"date_created":"2020-11-25T15:05:04Z","date_updated":"2020-11-25T15:05:04Z","checksum":"5cbeef52caf18d0d952f17fed7b5545a","success":1,"relation":"main_file","file_id":"8812","file_size":404778,"content_type":"application/pdf","creator":"dernst","file_name":"2020_JourStatPhysics_Seiringer.pdf","access_level":"open_access"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8091","intvolume":" 181","title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","ddc":["530"],"status":"public","abstract":[{"text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level.","lang":"eng"}],"type":"journal_article","date_published":"2020-10-01T00:00:00Z","citation":{"chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0.","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.","short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.","ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.","ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” Journal of Statistical Physics, vol. 181. Springer, pp. 448–464, 2020.","apa":"Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-020-02586-0","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 2020;181:448-464. doi:10.1007/s10955-020-02586-0"},"publication":"Journal of Statistical Physics","page":"448-464","article_type":"original","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01","scopus_import":"1"},{"year":"2020","publisher":"AIP Publishing","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"last_name":"Mayer","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"volume":61,"date_updated":"2023-08-22T08:12:40Z","date_created":"2020-07-19T22:00:59Z","article_number":"061901","ec_funded":1,"external_id":{"arxiv":["2002.08281"],"isi":["000544595100001"]},"main_file_link":[{"url":"https://arxiv.org/abs/2002.08281","open_access":"1"}],"oa":1,"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","doi":"10.1063/5.0005950","language":[{"iso":"eng"}],"publication_identifier":{"issn":["00222488"]},"month":"06","_id":"8134","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 61","title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","status":"public","oa_version":"Preprint","type":"journal_article","issue":"6","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."}],"citation":{"short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (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.","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.","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","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.","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","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."},"publication":"Journal of Mathematical Physics","article_type":"original","date_published":"2020-06-22T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"22"},{"month":"10","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"doi":"10.1103/physrevb.102.144109","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.07890"}],"external_id":{"arxiv":["1912.07890"],"isi":["000582563300001"]},"quality_controlled":"1","isi":1,"project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020"}],"ec_funded":1,"article_number":"144109","author":[{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","first_name":"Enderalp","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp"},{"orcid":"0000-0001-9666-3543","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","last_name":"Ghazaryan","first_name":"Areg","full_name":"Ghazaryan, Areg"},{"last_name":"Lundholm","first_name":"D.","full_name":"Lundholm, D."},{"first_name":"N.","last_name":"Rougerie","full_name":"Rougerie, N."},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","last_name":"Lemeshko","full_name":"Lemeshko, Mikhail"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"date_updated":"2023-09-05T12:12:30Z","date_created":"2020-11-18T07:34:17Z","volume":102,"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).","year":"2020","publication_status":"published","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"American Physical Society","day":"01","article_processing_charge":"No","scopus_import":"1","date_published":"2020-10-01T00:00:00Z","publication":"Physical Review B","citation":{"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","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.","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","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.","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.","short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","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."},"article_type":"original","abstract":[{"lang":"eng","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."}],"issue":"14","type":"journal_article","oa_version":"Preprint","_id":"8769","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Quantum impurity model for anyons","status":"public","intvolume":" 102"},{"doi":"10.1007/s00205-020-01489-4","language":[{"iso":"eng"}],"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":["000519415000001"],"arxiv":["1901.11363"]},"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"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"month":"03","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"date_updated":"2023-09-05T14:18:49Z","date_created":"2020-04-08T15:18:03Z","volume":236,"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.","year":"2020","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-20T13:17:42Z","ec_funded":1,"date_published":"2020-03-09T00:00:00Z","publication":"Archive for Rational Mechanics and Analysis","citation":{"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.","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.","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","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","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.","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.","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271."},"article_type":"original","page":"1217-1271","day":"09","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":704633,"creator":"dernst","access_level":"open_access","file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","checksum":"b645fb64bfe95bbc05b3eea374109a9c","success":1,"date_updated":"2020-11-20T13:17:42Z","date_created":"2020-11-20T13:17:42Z","relation":"main_file","file_id":"8785"}],"_id":"7650","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","ddc":["510"],"status":"public","title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","intvolume":" 236","abstract":[{"lang":"eng","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."}],"issue":"6","type":"journal_article"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"8130","title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons","status":"public","ddc":["510"],"intvolume":" 238","oa_version":"Published Version","file":[{"file_name":"2020_ArchiveRatMech_Bossmann.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":942343,"file_id":"8826","relation":"main_file","date_updated":"2020-12-02T08:50:38Z","date_created":"2020-12-02T08:50:38Z","success":1,"checksum":"cc67a79a67bef441625fcb1cd031db3d"}],"type":"journal_article","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."}],"issue":"11","publication":"Archive for Rational Mechanics and Analysis","citation":{"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.","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.","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","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.","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.","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"},"article_type":"original","page":"541-606","date_published":"2020-11-01T00:00:00Z","scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","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.","year":"2020","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","first_name":"Lea","last_name":"Bossmann","full_name":"Bossmann, Lea"}],"date_updated":"2023-09-05T14:19:06Z","date_created":"2020-07-18T15:06:35Z","volume":238,"file_date_updated":"2020-12-02T08:50:38Z","ec_funded":1,"external_id":{"isi":["000550164400001"],"arxiv":["1907.04547"]},"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,"isi":1,"quality_controlled":"1","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"doi":"10.1007/s00205-020-01548-w","language":[{"iso":"eng"}],"month":"11","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]}},{"publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","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.","year":"2020","volume":180,"date_updated":"2023-09-05T14:57:29Z","date_created":"2020-01-07T09:42:03Z","author":[{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"ec_funded":1,"file_date_updated":"2020-11-19T11:13:55Z","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"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":["000556199700003"]},"language":[{"iso":"eng"}],"doi":"10.1007/s10955-019-02322-3","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"month":"09","intvolume":" 180","ddc":["510","530"],"status":"public","title":"Divergence of the effective mass of a polaron in the strong coupling limit","_id":"7235","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2020_JourStatPhysics_Lieb.pdf","creator":"dernst","content_type":"application/pdf","file_size":279749,"file_id":"8774","relation":"main_file","success":1,"checksum":"1e67bee6728592f7bdcea2ad2d9366dc","date_updated":"2020-11-19T11:13:55Z","date_created":"2020-11-19T11:13:55Z"}],"type":"journal_article","abstract":[{"lang":"eng","text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit."}],"page":"23-33","article_type":"original","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.","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.","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","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.","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","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."},"publication":"Journal of Statistical Physics","date_published":"2020-09-01T00:00:00Z","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"01"},{"type":"journal_article","abstract":[{"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.","lang":"eng"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7611","intvolume":" 110","title":"Central limit theorem for Bose gases interacting through singular potentials","status":"public","ddc":["510"],"oa_version":"Published Version","file":[{"relation":"main_file","file_id":"8784","checksum":"3bdd41f10ad947b67a45b98f507a7d4a","success":1,"date_updated":"2020-11-20T12:04:26Z","date_created":"2020-11-20T12:04:26Z","access_level":"open_access","file_name":"2020_LettersMathPhysics_Rademacher.pdf","file_size":478683,"content_type":"application/pdf","creator":"dernst"}],"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"12","citation":{"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","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.","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","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 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.","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."},"publication":"Letters in Mathematical Physics","page":"2143-2174","article_type":"original","date_published":"2020-03-12T00:00:00Z","ec_funded":1,"file_date_updated":"2020-11-20T12:04:26Z","year":"2020","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.","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher"}],"volume":110,"date_updated":"2023-09-05T15:14:50Z","date_created":"2020-03-23T11:11:47Z","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"month":"03","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":["000551556000006"]},"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"quality_controlled":"1","doi":"10.1007/s11005-020-01286-w","language":[{"iso":"eng"}]},{"file":[{"file_id":"7515","relation":"main_file","date_created":"2020-02-24T09:15:06Z","date_updated":"2020-07-14T12:47:59Z","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6","file_name":"thesis.pdf","access_level":"open_access","creator":"dernst","file_size":1563429,"content_type":"application/pdf"},{"checksum":"ad7425867b52d7d9e72296e87bc9cb67","date_created":"2020-02-24T09:15:16Z","date_updated":"2020-07-14T12:47:59Z","relation":"source_file","file_id":"7516","file_size":2028038,"content_type":"application/x-zip-compressed","creator":"dernst","access_level":"closed","file_name":"thesis_source.zip"}],"oa_version":"Published Version","status":"public","ddc":["510"],"title":"The free energy of a dilute two-dimensional Bose gas","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7514","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."}],"alternative_title":["ISTA Thesis"],"type":"dissertation","date_published":"2020-02-24T00:00:00Z","page":"148","citation":{"ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514","ieee":"S. Mayer, “The free energy of a dilute two-dimensional Bose gas,” Institute of Science and Technology Austria, 2020.","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","ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.","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.","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."},"has_accepted_license":"1","article_processing_charge":"No","day":"24","date_updated":"2023-09-07T13:12:42Z","date_created":"2020-02-24T09:17:27Z","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"7524"}]},"author":[{"last_name":"Mayer","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","full_name":"Mayer, Simon"}],"department":[{"_id":"RoSe"},{"_id":"GradSch"}],"publisher":"Institute of Science and Technology Austria","publication_status":"published","year":"2020","ec_funded":1,"file_date_updated":"2020-07-14T12:47:59Z","language":[{"iso":"eng"}],"supervisor":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"degree_awarded":"PhD","doi":"10.15479/AT:ISTA:7514","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,"publication_identifier":{"issn":["2663-337X"]},"month":"02"},{"publication":"The Journal of Chemical Physics","citation":{"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.","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.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","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.","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.","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"},"article_type":"original","date_published":"2020-04-27T00:00:00Z","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"day":"27","article_processing_charge":"No","_id":"8587","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","title":"Intermolecular forces and correlations mediated by a phonon bath","intvolume":" 152","oa_version":"Preprint","type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"16","external_id":{"isi":["000530448300001"],"arxiv":["1912.02658"]},"main_file_link":[{"url":"https://arxiv.org/abs/1912.02658","open_access":"1"}],"oa":1,"isi":1,"quality_controlled":"1","project":[{"name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902"},{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle"},{"_id":"26986C82-B435-11E9-9278-68D0E5697425","grant_number":"M02641","name":"A path-integral approach to composite impurities","call_identifier":"FWF"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"doi":"10.1063/1.5144759","language":[{"iso":"eng"}],"month":"04","publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"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.","year":"2020","publication_status":"published","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"AIP Publishing","author":[{"last_name":"Li","first_name":"Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Xiang"},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","first_name":"Enderalp","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp"},{"orcid":"0000-0001-8823-9777","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","last_name":"Bighin","first_name":"Giacomo","full_name":"Bighin, Giacomo"},{"last_name":"Schmidt","first_name":"Richard","full_name":"Schmidt, Richard"},{"last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail"},{"first_name":"Andreas","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8958"}]},"date_created":"2020-09-30T10:33:17Z","date_updated":"2023-09-07T13:16:42Z","volume":152,"article_number":"164302","ec_funded":1},{"type":"journal_article","issue":"1","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"}],"intvolume":" 52","status":"public","ddc":["510"],"title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","_id":"9781","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"scopus_import":"1","article_processing_charge":"No","has_accepted_license":"1","day":"12","page":"605-622","article_type":"original","citation":{"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","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","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.","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.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","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.","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."},"publication":"SIAM Journal on Mathematical Analysis","date_published":"2020-02-12T00:00:00Z","ec_funded":1,"publisher":"Society for Industrial & Applied Mathematics ","department":[{"_id":"RoSe"}],"publication_status":"published","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.","year":"2020","volume":52,"date_created":"2021-08-06T07:34:16Z","date_updated":"2023-09-07T13:30:11Z","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"9733"}]},"author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"month":"02","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","isi":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.08647"}],"tmp":{"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","short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png"},"oa":1,"external_id":{"isi":["000546967700022"],"arxiv":["1904.08647 "]},"language":[{"iso":"eng"}],"doi":"10.1137/19m126284x"},{"day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","date_published":"2020-12-01T00:00:00Z","article_type":"original","page":"4003-4025","publication":"Annales Henri Poincare","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.","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.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.","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.","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.","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","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"},"abstract":[{"lang":"eng","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."}],"issue":"12","type":"journal_article","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2020_Annales_Mysliwy.pdf","creator":"cziletti","file_size":469831,"content_type":"application/pdf","file_id":"8711","relation":"main_file","success":1,"checksum":"c12c9c1e6f08def245e42f3cb1d83827","date_created":"2020-10-27T12:49:04Z","date_updated":"2020-10-27T12:49:04Z"}],"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","ddc":["530"],"status":"public","intvolume":" 21","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8705","month":"12","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00023-020-00969-3","isi":1,"quality_controlled":"1","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"}],"external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"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,"file_date_updated":"2020-10-27T12:49:04Z","ec_funded":1,"date_created":"2020-10-25T23:01:19Z","date_updated":"2023-09-07T13:43:51Z","volume":21,"author":[{"last_name":"Mysliwy","first_name":"Krzysztof","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"}],"related_material":{"record":[{"id":"11473","status":"public","relation":"dissertation_contains"}]},"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","year":"2020","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)"},{"oa_version":"Preprint","intvolume":" 2","title":" The local density approximation in density functional theory","status":"public","_id":"14891","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"1","abstract":[{"lang":"eng","text":"We give the first mathematically rigorous justification of the local density approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy–Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the uniform electron gas energy of this density. The error involves gradient terms and justifies the use of the local density approximation in the situation where the density is very flat on sufficiently large regions in space."}],"type":"journal_article","date_published":"2020-01-01T00:00:00Z","page":"35-73","article_type":"original","citation":{"apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2020). The local density approximation in density functional theory. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2020.2.35","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation in density functional theory,” Pure and Applied Analysis, vol. 2, no. 1. Mathematical Sciences Publishers, pp. 35–73, 2020.","ista":"Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.","ama":"Lewin M, Lieb EH, Seiringer R. The local density approximation in density functional theory. Pure and Applied Analysis. 2020;2(1):35-73. doi:10.2140/paa.2020.2.35","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.","mla":"Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35."},"publication":"Pure and Applied Analysis","article_processing_charge":"No","day":"01","scopus_import":"1","volume":2,"date_updated":"2024-01-29T09:01:12Z","date_created":"2024-01-28T23:01:44Z","author":[{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"publisher":"Mathematical Sciences Publishers","department":[{"_id":"RoSe"}],"publication_status":"published","year":"2020","language":[{"iso":"eng"}],"doi":"10.2140/paa.2020.2.35","quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1903.04046"}],"external_id":{"arxiv":["1903.04046"]},"publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"month":"01"},{"scopus_import":"1","day":"01","article_processing_charge":"No","publication":"Communications in Mathematical Physics","citation":{"short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics 376 (2020) 1311–1395.","mla":"Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, vol. 376, Springer, 2020, pp. 1311–95, doi:10.1007/s00220-019-03555-9.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics. Springer, 2020. https://doi.org/10.1007/s00220-019-03555-9.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 2020;376:1311-1395. doi:10.1007/s00220-019-03555-9","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications in Mathematical Physics, vol. 376. Springer, pp. 1311–1395, 2020.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-019-03555-9","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 376, 1311–1395."},"article_type":"original","page":"1311-1395","date_published":"2020-06-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential."}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"6906","status":"public","title":"Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime","intvolume":" 376","oa_version":"Preprint","month":"06","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"oa":1,"external_id":{"isi":["000536053300012"],"arxiv":["1812.03086"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1812.03086"}],"quality_controlled":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"doi":"10.1007/s00220-019-03555-9","language":[{"iso":"eng"}],"ec_funded":1,"year":"2020","acknowledgement":"We would like to thank P. T. Nam and R. Seiringer for several useful discussions and\r\nfor suggesting us to use the localization techniques from [9]. C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges support from the NCCR SwissMAP and from the Swiss National Foundation of Science (Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties of Bose–Einstein condensates”.","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","first_name":"Chiara","full_name":"Boccato, Chiara"},{"full_name":"Brennecke, Christian","first_name":"Christian","last_name":"Brennecke"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"}],"date_created":"2019-09-24T17:30:59Z","date_updated":"2024-02-22T13:33:02Z","volume":376},{"date_updated":"2024-03-12T12:02:00Z","date_created":"2024-03-04T11:46:12Z","volume":16,"oa_version":"None","author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"},{"full_name":"Warzel, Simone","last_name":"Warzel","first_name":"Simone"}],"status":"public","publication_status":"published","title":"Many-body quantum systems","publisher":"European Mathematical Society","department":[{"_id":"RoSe"}],"intvolume":" 16","_id":"15072","year":"2020","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions.","lang":"eng"}],"issue":"3","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.4171/owr/2019/41","date_published":"2020-09-10T00:00:00Z","article_type":"original","quality_controlled":"1","page":"2541-2603","publication":"Oberwolfach Reports","citation":{"ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” Oberwolfach Reports, vol. 16, no. 3. European Mathematical Society, pp. 2541–2603, 2020.","apa":"Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2020). Many-body quantum systems. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/41","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach Reports. 2020;16(3):2541-2603. doi:10.4171/owr/2019/41","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” Oberwolfach Reports. European Mathematical Society, 2020. https://doi.org/10.4171/owr/2019/41.","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603."},"day":"10","month":"09","publication_identifier":{"issn":["1660-8933"]},"article_processing_charge":"No"},{"day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","date_published":"2019-06-01T00:00:00Z","article_type":"original","page":"723-776","publication":"Communications in Mathematical Physics","citation":{"short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.","chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 2019;368(2):723-776. doi:10.1007/s00220-018-3239-0","apa":"Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776."},"abstract":[{"lang":"eng","text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer."}],"issue":"2","type":"journal_article","oa_version":"Published Version","file":[{"file_name":"2018_CommunMathPhys_Deuchert.pdf","access_level":"open_access","creator":"dernst","file_size":893902,"content_type":"application/pdf","file_id":"5688","relation":"main_file","date_updated":"2020-07-14T12:48:07Z","date_created":"2018-12-17T10:34:06Z","checksum":"c7e9880b43ac726712c1365e9f2f73a6"}],"ddc":["530"],"title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","status":"public","intvolume":" 368","_id":"80","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"06","language":[{"iso":"eng"}],"doi":"10.1007/s00220-018-3239-0","quality_controlled":"1","isi":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"external_id":{"isi":["000467796800007"]},"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,"file_date_updated":"2020-07-14T12:48:07Z","publist_id":"7974","ec_funded":1,"date_created":"2018-12-11T11:44:31Z","date_updated":"2023-08-24T14:27:51Z","volume":368,"author":[{"full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","year":"2019"},{"publication_identifier":{"eissn":["1424-0661"],"issn":["1424-0637"]},"month":"10","language":[{"iso":"eng"}],"doi":"10.1007/s00023-019-00828-w","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"isi":1,"quality_controlled":"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"},"oa":1,"external_id":{"isi":["000487036900008"],"arxiv":["1807.06781"]},"ec_funded":1,"file_date_updated":"2020-07-14T12:47:40Z","volume":20,"date_created":"2019-08-11T21:59:21Z","date_updated":"2023-08-29T07:09:06Z","author":[{"full_name":"Leopold, Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","last_name":"Leopold"},{"full_name":"Petrat, Sören P","first_name":"Sören P","last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889"}],"publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","year":"2019","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01","scopus_import":"1","date_published":"2019-10-01T00:00:00Z","page":"3471–3508","article_type":"original","citation":{"chicago":"Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare. Springer Nature, 2019. https://doi.org/10.1007/s00023-019-00828-w.","mla":"Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare, vol. 20, no. 10, Springer Nature, 2019, pp. 3471–3508, doi:10.1007/s00023-019-00828-w.","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508.","ieee":"N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” Annales Henri Poincare, vol. 20, no. 10. Springer Nature, pp. 3471–3508, 2019.","apa":"Leopold, N. K., & Petrat, S. P. (2019). Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-019-00828-w","ama":"Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 2019;20(10):3471–3508. doi:10.1007/s00023-019-00828-w"},"publication":"Annales Henri Poincare","issue":"10","abstract":[{"lang":"eng","text":"We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations."}],"type":"journal_article","file":[{"access_level":"open_access","file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","creator":"dernst","file_size":681139,"content_type":"application/pdf","file_id":"6801","relation":"main_file","checksum":"b6dbf0d837d809293d449adf77138904","date_updated":"2020-07-14T12:47:40Z","date_created":"2019-08-12T12:05:58Z"}],"oa_version":"Published Version","intvolume":" 20","ddc":["510"],"title":"Mean-field dynamics for the Nelson model with fermions","status":"public","_id":"6788","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"},{"scopus_import":"1","day":"13","article_processing_charge":"No","publication":"Journal of Statistical Mechanics: Theory and Experiment","citation":{"ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6. IOP Publishing, 2019.","apa":"Mysliwy, K., & Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab190d","ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019;2019(6). doi:10.1088/1742-5468/ab190d","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing, 2019. https://doi.org/10.1088/1742-5468/ab190d.","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:10.1088/1742-5468/ab190d.","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019)."},"date_published":"2019-06-13T00:00:00Z","type":"journal_article","abstract":[{"text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases.","lang":"eng"}],"issue":"6","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"6840","title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","status":"public","intvolume":" 2019","oa_version":"Preprint","month":"06","publication_identifier":{"eissn":["1742-5468"]},"external_id":{"isi":["000471650100001"],"arxiv":["1810.02209"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02209"}],"oa":1,"isi":1,"quality_controlled":"1","project":[{"name":"International IST Doctoral Program","call_identifier":"H2020","grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"doi":"10.1088/1742-5468/ab190d","language":[{"iso":"eng"}],"article_number":"063101","ec_funded":1,"year":"2019","publication_status":"published","publisher":"IOP Publishing","department":[{"_id":"RoSe"}],"author":[{"full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","last_name":"Mysliwy"},{"full_name":"Napiórkowski, Marek","first_name":"Marek","last_name":"Napiórkowski"}],"date_updated":"2023-08-29T07:19:13Z","date_created":"2019-09-01T22:00:59Z","volume":2019},{"scopus_import":"1","day":"08","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication":"Communications in Mathematical Physics","citation":{"chicago":"Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03599-x.","short":"M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69.","mla":"Jeblick, Maximilian, et al. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics, vol. 372, no. 1, Springer Nature, 2019, pp. 1–69, doi:10.1007/s00220-019-03599-x.","ieee":"M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent Gross–Pitaevskii equation in two dimensions,” Communications in Mathematical Physics, vol. 372, no. 1. Springer Nature, pp. 1–69, 2019.","apa":"Jeblick, M., Leopold, N. K., & Pickl, P. (2019). Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03599-x","ista":"Jeblick M, Leopold NK, Pickl P. 2019. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 372(1), 1–69.","ama":"Jeblick M, Leopold NK, Pickl P. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 2019;372(1):1-69. doi:10.1007/s00220-019-03599-x"},"article_type":"original","page":"1-69","date_published":"2019-11-08T00:00:00Z","type":"journal_article","abstract":[{"text":"We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting froman interacting N-particle system of bosons. We consider the interaction potential to be given either by Wβ(x)=N−1+2βW(Nβx), for any β>0, or to be given by VN(x)=e2NV(eNx), for some spherical symmetric, nonnegative and compactly supported W,V∈L∞(R2,R). In both cases we prove the convergence of the reduced density corresponding to the exact time evolution to the projector onto the solution of the corresponding nonlinear Schrödinger equation in trace norm. For the latter potential VN we show that it is crucial to take the microscopic structure of the condensate into account in order to obtain the correct dynamics.","lang":"eng"}],"issue":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7100","status":"public","title":"Derivation of the time dependent Gross–Pitaevskii equation in two dimensions","ddc":["510"],"intvolume":" 372","file":[{"relation":"main_file","file_id":"7101","date_created":"2019-11-25T08:11:11Z","date_updated":"2020-07-14T12:47:49Z","checksum":"cd283b475dd739e04655315abd46f528","file_name":"2019_CommMathPhys_Jeblick.pdf","access_level":"open_access","content_type":"application/pdf","file_size":884469,"creator":"dernst"}],"oa_version":"Published Version","month":"11","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"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":["000495193700002"]},"oa":1,"quality_controlled":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"doi":"10.1007/s00220-019-03599-x","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:47:49Z","ec_funded":1,"acknowledgement":"OA fund by IST Austria","year":"2019","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"author":[{"full_name":"Jeblick, Maximilian","first_name":"Maximilian","last_name":"Jeblick"},{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","last_name":"Leopold","full_name":"Leopold, Nikolai K"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"}],"date_updated":"2023-09-06T10:47:43Z","date_created":"2019-11-25T08:08:02Z","volume":372},{"date_published":"2019-06-07T00:00:00Z","citation":{"chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica. International Press of Boston, 2019. https://doi.org/10.4310/acta.2019.v222.n2.a1.","mla":"Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica, vol. 222, no. 2, International Press of Boston, 2019, pp. 219–335, doi:10.4310/acta.2019.v222.n2.a1.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2019). Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. International Press of Boston. https://doi.org/10.4310/acta.2019.v222.n2.a1","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” Acta Mathematica, vol. 222, no. 2. International Press of Boston, pp. 219–335, 2019.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 2019;222(2):219-335. doi:10.4310/acta.2019.v222.n2.a1"},"publication":"Acta Mathematica","page":"219-335","article_type":"original","article_processing_charge":"No","day":"07","scopus_import":"1","oa_version":"Preprint","_id":"7413","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":" 222","status":"public","title":"Bogoliubov theory in the Gross–Pitaevskii limit","issue":"2","abstract":[{"text":"We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions.","lang":"eng"}],"type":"journal_article","doi":"10.4310/acta.2019.v222.n2.a1","language":[{"iso":"eng"}],"oa":1,"external_id":{"isi":["000495865300001"],"arxiv":["1801.01389"]},"main_file_link":[{"url":"https://arxiv.org/abs/1801.01389","open_access":"1"}],"quality_controlled":"1","isi":1,"publication_identifier":{"issn":["0001-5962"],"eissn":["1871-2509"]},"month":"06","author":[{"first_name":"Chiara","last_name":"Boccato","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","full_name":"Boccato, Chiara"},{"full_name":"Brennecke, Christian","first_name":"Christian","last_name":"Brennecke"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"}],"volume":222,"date_updated":"2023-09-06T15:24:31Z","date_created":"2020-01-30T09:30:41Z","year":"2019","publisher":"International Press of Boston","department":[{"_id":"RoSe"}],"publication_status":"published"},{"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":["1807.00739"],"isi":["000462444300008"]},"oa":1,"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"quality_controlled":"1","isi":1,"doi":"10.1007/s00023-018-00757-0","language":[{"iso":"eng"}],"publication_identifier":{"issn":["14240637"]},"month":"04","year":"2019","department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"volume":20,"date_updated":"2023-09-07T12:37:42Z","date_created":"2019-01-20T22:59:17Z","ec_funded":1,"file_date_updated":"2020-07-14T12:47:12Z","citation":{"ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0","apa":"Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-00757-0","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4. Springer, pp. 1325–1365, 2019.","ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.","chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0."},"publication":"Annales Henri Poincare","page":"1325–1365","article_type":"original","date_published":"2019-04-01T00:00:00Z","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"01","_id":"5856","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 20","title":"Energy contribution of a point-interacting impurity in a Fermi gas","status":"public","ddc":["530"],"oa_version":"Published Version","file":[{"creator":"dernst","content_type":"application/pdf","file_size":859846,"access_level":"open_access","file_name":"2019_Annales_Moser.pdf","checksum":"255e42f957a8e2b10aad2499c750a8d6","date_created":"2019-01-28T15:27:17Z","date_updated":"2020-07-14T12:47:12Z","file_id":"5894","relation":"main_file"}],"type":"journal_article","issue":"4","abstract":[{"lang":"eng","text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system."}]},{"publisher":"ArXiv","department":[{"_id":"RoSe"}],"status":"public","title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","publication_status":"draft","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7524","year":"2019","oa_version":"Preprint","date_updated":"2023-09-07T13:12:41Z","date_created":"2020-02-26T08:46:40Z","related_material":{"record":[{"relation":"later_version","status":"public","id":"7790"},{"status":"public","relation":"dissertation_contains","id":"7514"}]},"author":[{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert","first_name":"Andreas"},{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","first_name":"Simon","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"type":"preprint","ec_funded":1,"abstract":[{"lang":"eng","text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$."}],"page":"61","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"citation":{"ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372.","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372, .","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv.","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372. ArXiv.","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d."},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.03372"}],"oa":1,"publication":"arXiv:1910.03372","language":[{"iso":"eng"}],"date_published":"2019-10-08T00:00:00Z","scopus_import":1,"article_processing_charge":"No","day":"08","month":"10"}]