[{"volume":282,"article_type":"original","isi":1,"quality_controlled":"1","publication_identifier":{"issn":["0022-1236"]},"month":"06","keyword":["Analysis"],"intvolume":"       282","article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"file_date_updated":"2022-08-02T10:37:55Z","acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"article_number":"109455","date_created":"2022-03-16T08:41:53Z","date_published":"2022-06-15T00:00:00Z","oa":1,"_id":"10850","author":[{"full_name":"Roos, Barbara","first_name":"Barbara","orcid":"0000-0002-9071-5880","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","last_name":"Roos"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"type":"journal_article","publisher":"Elsevier","year":"2022","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2022.109455","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"external_id":{"isi":["000795160200009"],"arxiv":["2105.04874"]},"title":"Two-particle bound states at interfaces and corners","file":[{"creator":"dernst","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","file_size":631391,"checksum":"63efcefaa1f2717244ef5407bd564426","file_id":"11720","date_created":"2022-08-02T10:37:55Z","date_updated":"2022-08-02T10:37:55Z","success":1}],"publication":"Journal of Functional Analysis","has_accepted_license":"1","issue":"12","scopus_import":"1","project":[{"grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"citation":{"chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>.","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” <i>Journal of Functional Analysis</i>, vol. 282, no. 12. Elsevier, 2022.","mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>, vol. 282, no. 12, 109455, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>.","apa":"Roos, B., &#38; Seiringer, R. (2022). Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. 2022;282(12). doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>"},"arxiv":1,"ec_funded":1,"abstract":[{"text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1.","lang":"eng"}],"publication_status":"published","oa_version":"Published Version","day":"15","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"license":"https://creativecommons.org/licenses/by/4.0/","status":"public","date_updated":"2023-10-27T10:37:29Z"},{"language":[{"iso":"eng"}],"doi":"10.15479/at:ista:11473","publisher":"Institute of Science and Technology Austria","year":"2022","type":"dissertation","author":[{"last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof"}],"oa":1,"_id":"11473","date_published":"2022-07-01T00:00:00Z","date_created":"2022-06-30T12:15:03Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"ddc":["515","539"],"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file_date_updated":"2022-07-05T08:17:12Z","month":"07","publication_identifier":{"issn":["2663-337X"]},"supervisor":[{"first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2023-09-07T13:43:52Z","acknowledged_ssus":[{"_id":"SSU"}],"status":"public","degree_awarded":"PhD","publication_status":"published","oa_version":"Published Version","page":"138","day":"01","ec_funded":1,"abstract":[{"text":"The polaron model is a basic model of quantum field theory describing a single particle\r\ninteracting with a bosonic field. It arises in many physical contexts. We are mostly concerned\r\nwith models applicable in the context of an impurity atom in a Bose-Einstein condensate as\r\nwell as the problem of electrons moving in polar crystals.\r\nThe model has a simple structure in which the interaction of the particle with the field is given\r\nby a term linear in the field’s creation and annihilation operators. In this work, we investigate\r\nthe properties of this model by providing rigorous estimates on various energies relevant to the\r\nproblem. The estimates are obtained, for the most part, by suitable operator techniques which\r\nconstitute the principal mathematical substance of the thesis.\r\nThe first application of these techniques is to derive the polaron model rigorously from first\r\nprinciples, i.e., from a full microscopic quantum-mechanical many-body problem involving an\r\nimpurity in an otherwise homogeneous system. We accomplish this for the N + 1 Bose gas\r\nin the mean-field regime by showing that a suitable polaron-type Hamiltonian arises at weak\r\ninteractions as a low-energy effective theory for this problem.\r\nIn the second part, we investigate rigorously the ground state of the model at fixed momentum\r\nand for large values of the coupling constant. Qualitatively, the system is expected to display\r\na transition from the quasi-particle behavior at small momenta, where the dispersion relation\r\nis parabolic and the particle moves through the medium dragging along a cloud of phonons, to\r\nthe radiative behavior at larger momenta where the polaron decelerates and emits free phonons.\r\nAt the same time, in the strong coupling regime, the bosonic field is expected to behave purely\r\nclassically. Accordingly, the effective mass of the polaron at strong coupling is conjectured to\r\nbe asymptotically equal to the one obtained from the semiclassical counterpart of the problem,\r\nfirst studied by Landau and Pekar in the 1940s. For polaron models with regularized form\r\nfactors and phonon dispersion relations of superfluid type, i.e., bounded below by a linear\r\nfunction of the wavenumbers for all phonon momenta as in the interacting Bose gas, we prove\r\nthat for a large window of momenta below the radiation threshold, the energy-momentum\r\nrelation at strong coupling is indeed essentially a parabola with semi-latus rectum equal to the\r\nLandau–Pekar effective mass, as expected.\r\nFor the Fröhlich polaron describing electrons in polar crystals where the dispersion relation is\r\nof the optical type and the form factor is formally UV–singular due to the nature of the point\r\ncharge-dipole interaction, we are able to give the corresponding upper bound. In contrast to\r\nthe regular case, this requires the inclusion of the quantum fluctuations of the phonon field,\r\nwhich makes the problem considerably more difficult.\r\nThe results are supplemented by studies on the absolute ground-state energy at strong coupling,\r\na proof of the divergence of the effective mass with the coupling constant for a wide class of\r\npolaron models, as well as the discussion of the apparent UV singularity of the Fröhlich model\r\nand the application of the techniques used for its removal for the energy estimates.\r\n","lang":"eng"}],"project":[{"call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"citation":{"ama":"Mysliwy K. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:11473\">10.15479/at:ista:11473</a>","apa":"Mysliwy, K. (2022). <i>Polarons in Bose gases and polar crystals: Some rigorous energy estimates</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:11473\">https://doi.org/10.15479/at:ista:11473</a>","mla":"Mysliwy, Krzysztof. <i>Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:11473\">10.15479/at:ista:11473</a>.","short":"K. Mysliwy, Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates, Institute of Science and Technology Austria, 2022.","ista":"Mysliwy K. 2022. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria.","ieee":"K. Mysliwy, “Polarons in Bose gases and polar crystals: Some rigorous energy estimates,” Institute of Science and Technology Austria, 2022.","chicago":"Mysliwy, Krzysztof. “Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:11473\">https://doi.org/10.15479/at:ista:11473</a>."},"alternative_title":["ISTA Thesis"],"has_accepted_license":"1","related_material":{"record":[{"relation":"part_of_dissertation","id":"10564","status":"public"},{"id":"8705","status":"public","relation":"part_of_dissertation"}]},"file":[{"date_updated":"2022-07-05T08:12:56Z","success":1,"file_id":"11486","checksum":"7970714a20a6052f75fb27a6c3e9976e","date_created":"2022-07-05T08:12:56Z","file_size":1830973,"file_name":"thes1_no_isbn_2_1b.pdf","relation":"main_file","content_type":"application/pdf","access_level":"open_access","creator":"kmysliwy"},{"access_level":"closed","content_type":"application/zip","relation":"source_file","creator":"kmysliwy","file_id":"11487","checksum":"647a2011fdf56277096c9350fefe1097","date_created":"2022-07-05T08:15:52Z","date_updated":"2022-07-05T08:17:12Z","file_name":"thes_source.zip","file_size":5831060}],"title":"Polarons in Bose gases and polar crystals: Some rigorous energy estimates"},{"date_updated":"2023-09-05T14:57:49Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"29","oa_version":"Published Version","publication_status":"published","abstract":[{"lang":"eng","text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature."}],"ec_funded":1,"citation":{"short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","apa":"Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>.","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. 2022;189. doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>.","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal of Statistical Physics</i>, vol. 189. Springer Nature, 2022."},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"}],"scopus_import":"1","has_accepted_license":"1","publication":"Journal of Statistical Physics","file":[{"file_size":419563,"file_name":"2022_JourStatisticalPhysics_Henheik.pdf","success":1,"date_updated":"2022-08-08T07:36:34Z","date_created":"2022-08-08T07:36:34Z","checksum":"b398c4dbf65f71d417981d6e366427e9","file_id":"11746","creator":"dernst","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"title":"The BCS energy gap at high density","external_id":{"isi":["000833007200002"]},"doi":"10.1007/s10955-022-02965-9","language":[{"iso":"eng"}],"year":"2022","publisher":"Springer Nature","type":"journal_article","author":[{"orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha"},{"orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard"}],"_id":"11732","oa":1,"date_published":"2022-07-29T00:00:00Z","article_number":"5","date_created":"2022-08-05T11:36:56Z","acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"file_date_updated":"2022-08-08T07:36:34Z","ddc":["530"],"article_processing_charge":"Yes (via OA deal)","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":"       189","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"month":"07","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"quality_controlled":"1","isi":1,"article_type":"original","volume":189},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"10","publication_status":"published","oa_version":"Published Version","abstract":[{"text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix.","lang":"eng"}],"ec_funded":1,"date_updated":"2023-08-03T12:46:28Z","status":"public","publication":"Journal of Mathematical Physics","file":[{"creator":"dernst","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_size":5957888,"file_name":"2022_JourMathPhysics_Bossmann.pdf","success":1,"date_updated":"2022-08-11T07:03:02Z","date_created":"2022-08-11T07:03:02Z","file_id":"11784","checksum":"d0d32c338c1896680174be88c70968fa"}],"title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"citation":{"ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6. AIP Publishing, 2022.","chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>.","ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2022;63(6). doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102."},"arxiv":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411"}],"scopus_import":"1","issue":"6","has_accepted_license":"1","author":[{"first_name":"Lea","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","last_name":"Bossmann","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"}],"_id":"11783","oa":1,"date_published":"2022-06-10T00:00:00Z","doi":"10.1063/5.0089983","language":[{"iso":"eng"}],"year":"2022","publisher":"AIP Publishing","type":"journal_article","month":"06","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"quality_controlled":"1","isi":1,"volume":63,"article_type":"original","date_created":"2022-08-11T06:37:52Z","article_number":"061102","department":[{"_id":"RoSe"}],"acknowledgement":"The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from the European Union’s Horizon 2020 Research and Innovation Programme under Marie Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged.","file_date_updated":"2022-08-11T07:03:02Z","article_processing_charge":"Yes (via OA deal)","ddc":["530"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":"        63","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"]},{"intvolume":"       186","file_date_updated":"2022-02-02T14:24:41Z","article_processing_charge":"Yes (via OA deal)","ddc":["530"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","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. Open access funding provided by Institute of Science and Technology (IST Austria).","department":[{"_id":"RoSe"}],"article_number":"5","date_created":"2021-12-19T23:01:32Z","article_type":"original","volume":186,"isi":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"quality_controlled":"1","month":"01","type":"journal_article","year":"2022","publisher":"Springer Nature","doi":"10.1007/s10955-021-02851-w","language":[{"iso":"eng"}],"date_published":"2022-01-01T00:00:00Z","_id":"10564","oa":1,"author":[{"full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"has_accepted_license":"1","scopus_import":"1","issue":"1","citation":{"ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022)."},"arxiv":1,"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"file":[{"relation":"main_file","content_type":"application/pdf","access_level":"open_access","creator":"cchlebak","date_updated":"2022-02-02T14:24:41Z","success":1,"checksum":"da03f6d293c4b9802091bce9471b1d29","file_id":"10716","date_created":"2022-02-02T14:24:41Z","file_size":434957,"file_name":"2022_JournalStatPhys_Myśliwy.pdf"}],"title":"Polaron models with regular interactions at strong coupling","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"11473"}]},"external_id":{"isi":["000726275600001"],"arxiv":["2106.09328"]},"publication":"Journal of Statistical Physics","status":"public","date_updated":"2023-09-07T13:43:51Z","abstract":[{"lang":"eng","text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass."}],"ec_funded":1,"day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"publication_status":"published","oa_version":"Published Version"},{"author":[{"orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"oa":1,"_id":"11917","date_published":"2022-07-01T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.1007/s10955-022-02940-4","publisher":"Springer Nature","year":"2022","type":"journal_article","month":"07","quality_controlled":"1","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"isi":1,"article_type":"original","volume":188,"article_number":"9","date_created":"2022-08-18T07:23:26Z","department":[{"_id":"RoSe"}],"acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. 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 Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"article_processing_charge":"Yes (via OA deal)","file_date_updated":"2022-08-18T08:09:00Z","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"intvolume":"       188","oa_version":"Published Version","publication_status":"published","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"abstract":[{"lang":"eng","text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order."}],"date_updated":"2023-08-03T12:55:58Z","status":"public","publication":"Journal of Statistical Physics","external_id":{"isi":["000805175000001"]},"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","creator":"dernst","date_created":"2022-08-18T08:09:00Z","checksum":"44418cb44f07fa21ed3907f85abf7f39","file_id":"11922","date_updated":"2022-08-18T08:09:00Z","success":1,"file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","file_size":483481}],"title":"Large deviation estimates for weakly interacting bosons","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships"}],"citation":{"ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. 2022;188. doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 188, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","apa":"Rademacher, S. A. E., &#38; Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 188. Springer Nature, 2022.","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>."},"scopus_import":"1","has_accepted_license":"1"},{"intvolume":"        63","file_date_updated":"2022-09-12T07:35:34Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"article_processing_charge":"No","acknowledgement":"S.R. would like to thank Robert Seiringer and Benedikt Stufler for helpful discussions. Funding from the European Union’s Horizon 2020 Research and Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.","department":[{"_id":"RoSe"}],"date_created":"2022-09-11T22:01:56Z","article_number":"081902","volume":63,"article_type":"original","isi":1,"publication_identifier":{"issn":["0022-2488"]},"quality_controlled":"1","month":"08","type":"journal_article","year":"2022","publisher":"AIP Publishing","doi":"10.1063/5.0086712","language":[{"iso":"eng"}],"date_published":"2022-08-25T00:00:00Z","_id":"12083","oa":1,"author":[{"first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","orcid":"0000-0001-5059-4466"}],"has_accepted_license":"1","scopus_import":"1","issue":"8","arxiv":1,"citation":{"ama":"Rademacher SAE. Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. 2022;63(8). doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.","mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>.","ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8. AIP Publishing, 2022.","chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>."},"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships"}],"file":[{"file_name":"2022_JourMathPhysics_Rademacher.pdf","file_size":4552261,"checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","file_id":"12089","date_created":"2022-09-12T07:35:34Z","date_updated":"2022-09-12T07:35:34Z","success":1,"creator":"dernst","access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"title":"Dependent random variables in quantum dynamics","external_id":{"isi":["000844402500001"],"arxiv":["2112.04817"]},"publication":"Journal of Mathematical Physics","status":"public","date_updated":"2023-08-03T13:57:19Z","abstract":[{"lang":"eng","text":"We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem."}],"ec_funded":1,"day":"25","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"oa_version":"Published Version","publication_status":"published"},{"type":"journal_article","doi":"10.1007/s11005-022-01584-5","language":[{"iso":"eng"}],"year":"2022","publisher":"Springer Nature","date_published":"2022-09-15T00:00:00Z","author":[{"last_name":"Lewin","first_name":"Mathieu","full_name":"Lewin, Mathieu"},{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"}],"_id":"12246","oa":1,"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":"       112","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"date_created":"2023-01-16T09:53:54Z","article_number":"92","acknowledgement":"We would like to thank David Gontier for useful advice on the numerical simulations. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful for the hospitality of the Institut Henri Poincaré in Paris, where part of this work was done.","department":[{"_id":"RoSe"}],"isi":1,"volume":112,"article_type":"original","month":"09","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"quality_controlled":"1","status":"public","date_updated":"2023-09-05T15:17:34Z","day":"15","oa_version":"Preprint","publication_status":"published","abstract":[{"text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy.","lang":"eng"}],"ec_funded":1,"scopus_import":"1","issue":"5","citation":{"ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. 2022;112(5). doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>","ista":"Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5, 92, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>.","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5. Springer Nature, 2022.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>."},"arxiv":1,"project":[{"grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication":"Letters in Mathematical Physics","title":"Improved Lieb–Oxford bound on the indirect and exchange energies","external_id":{"arxiv":["2203.12473"],"isi":["000854762600001"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2203.12473","open_access":"1"}]},{"date_created":"2023-01-16T10:01:56Z","article_number":"030343","acknowledgement":"We thank A. A. Michailidis for insightful discussions. M.L. and M.S. acknowledge support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). D.A. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and by the Swiss National Science Foundation. The infinite TEBD simulations were performed using the ITensor library [67].","department":[{"_id":"MaSe"},{"_id":"RoSe"}],"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["530"],"file_date_updated":"2023-01-30T11:02:50Z","keyword":["General Medicine"],"intvolume":"         3","month":"09","quality_controlled":"1","publication_identifier":{"eissn":["2691-3399"]},"article_type":"original","volume":3,"language":[{"iso":"eng"}],"doi":"10.1103/prxquantum.3.030343","publisher":"American Physical Society","year":"2022","type":"journal_article","author":[{"id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","last_name":"Ljubotina","first_name":"Marko","full_name":"Ljubotina, Marko"},{"first_name":"Barbara","full_name":"Roos, Barbara","last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880"},{"full_name":"Abanin, Dmitry A.","first_name":"Dmitry A.","last_name":"Abanin"},{"first_name":"Maksym","full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","orcid":"0000-0002-2399-5827"}],"oa":1,"_id":"12276","date_published":"2022-09-23T00:00:00Z","project":[{"name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","grant_number":"850899","call_identifier":"H2020"}],"arxiv":1,"citation":{"ieee":"M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix product states and quantum many-body scars,” <i>PRX Quantum</i>, vol. 3, no. 3. American Physical Society, 2022.","chicago":"Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>.","ama":"Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. 2022;3(3). doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>","apa":"Ljubotina, M., Roos, B., Abanin, D. A., &#38; Serbyn, M. (2022). Optimal steering of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. American Physical Society. <a href=\"https://doi.org/10.1103/prxquantum.3.030343\">https://doi.org/10.1103/prxquantum.3.030343</a>","ista":"Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 3(3), 030343.","short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).","mla":"Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>, vol. 3, no. 3, 030343, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/prxquantum.3.030343\">10.1103/prxquantum.3.030343</a>."},"issue":"3","scopus_import":"1","has_accepted_license":"1","publication":"PRX Quantum","external_id":{"arxiv":["2204.02899"]},"title":"Optimal steering of matrix product states and quantum many-body scars","file":[{"file_name":"2022_PRXQuantum_Ljubotina.pdf","file_size":7661905,"checksum":"ef8f0a1b5a019b3958009162de0fa4c3","date_created":"2023-01-30T11:02:50Z","file_id":"12457","date_updated":"2023-01-30T11:02:50Z","success":1,"creator":"dernst","access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"date_updated":"2023-01-30T11:05:23Z","status":"public","publication_status":"published","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"23","ec_funded":1,"abstract":[{"lang":"eng","text":"Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of nontrivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPSs). We compare counterdiabatic and leakage minimization approaches to the so-called local steering problem that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counterdiabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally, we apply our leakage minimization approach to construct quantum scars in the periodically driven nonintegrable Ising model."}]},{"abstract":[{"lang":"eng","text":"The scope of this thesis is to study quantum systems exhibiting a continuous symmetry that\r\nis broken on the level of the corresponding effective theory. In particular we are going to\r\ninvestigate translation-invariant Bose gases in the mean field limit, effectively described by\r\nthe Hartree functional, and the Fröhlich Polaron in the regime of strong coupling, effectively\r\ndescribed by the Pekar functional. The latter is a model describing the interaction between a\r\ncharged particle and the optical modes of a polar crystal. Regarding the former, we assume in\r\naddition that the particles in the gas are unconfined, and typically we will consider particles\r\nthat are subject to an attractive interaction. In both cases the ground state energy of the\r\nHamiltonian is not a proper eigenvalue due to the underlying translation-invariance, while on\r\nthe contrary there exists a whole invariant orbit of minimizers for the corresponding effective\r\nfunctionals. Both, the absence of proper eigenstates and the broken symmetry of the effective\r\ntheory, make the study significantly more involved and it is the content of this thesis to\r\ndevelop a frameworks which allows for a systematic way to circumvent these issues.\r\nIt is a well-established result that the ground state energy of Bose gases in the mean field limit,\r\nas well as the ground state energy of the Fröhlich Polaron in the regime of strong coupling, is\r\nto leading order given by the minimal energy of the corresponding effective theory. As part\r\nof this thesis we identify the sub-leading term in the expansion of the ground state energy,\r\nwhich can be interpreted as the quantum correction to the classical energy, since the effective\r\ntheories under consideration can be seen as classical counterparts.\r\nWe are further going to establish an asymptotic expression for the energy-momentum relation\r\nof the Fröhlich Polaron in the strong coupling limit. In the regime of suitably small momenta,\r\nthis asymptotic expression agrees with the energy-momentum relation of a free particle having\r\nan effectively increased mass, and we find that this effectively increased mass agrees with the\r\nconjectured value in the physics literature.\r\nIn addition we will discuss two unrelated papers written by the author during his stay at ISTA\r\nin the appendix. The first one concerns the realization of anyons, which are quasi-particles\r\nacquiring a non-trivial phase under the exchange of two particles, as molecular impurities.\r\nThe second one provides a classification of those vector fields defined on a given manifold\r\nthat can be written as the gradient of a given functional with respect to a suitable metric,\r\nprovided that some mild smoothness assumptions hold. This classification is subsequently\r\nused to identify those quantum Markov semigroups that can be written as a gradient flow of\r\nthe relative entropy.\r\n"}],"ec_funded":1,"day":"15","tmp":{"image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode"},"oa_version":"Published Version","publication_status":"published","page":"196","degree_awarded":"PhD","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","status":"public","date_updated":"2023-08-07T13:32:09Z","title":"Translation-invariant quantum systems with effectively broken symmetry","file":[{"file_size":3095225,"file_name":"Brooks_Thesis.pdf","date_updated":"2023-01-26T10:02:34Z","success":1,"file_id":"12391","date_created":"2023-01-26T10:02:34Z","checksum":"b31460e937f33b557abb40ebef02b567","creator":"cchlebak","relation":"main_file","content_type":"application/pdf","access_level":"open_access"},{"relation":"source_file","content_type":"application/octet-stream","access_level":"closed","creator":"cchlebak","date_updated":"2023-01-26T10:02:42Z","file_id":"12392","date_created":"2023-01-26T10:02:42Z","checksum":"9751869fa5e7981588ad4228f4fd4bd6","file_size":809842,"file_name":"Brooks_Thesis.tex"}],"related_material":{"record":[{"status":"public","id":"9005","relation":"part_of_dissertation"}]},"has_accepted_license":"1","alternative_title":["ISTA Thesis"],"citation":{"apa":"Brooks, M. (2022). <i>Translation-invariant quantum systems with effectively broken symmetry</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>","mla":"Brooks, Morris. <i>Translation-Invariant Quantum Systems with Effectively Broken Symmetry</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>.","short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria.","ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>","chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>.","ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022."},"project":[{"grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"date_published":"2022-12-15T00:00:00Z","_id":"12390","oa":1,"author":[{"full_name":"Brooks, Morris","first_name":"Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928"}],"type":"dissertation","year":"2022","publisher":"Institute of Science and Technology Austria","doi":"10.15479/at:ista:12390","language":[{"iso":"eng"}],"supervisor":[{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert"}],"publication_identifier":{"issn":["2663-337X"]},"month":"12","file_date_updated":"2023-01-26T10:02:42Z","ddc":["500"],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","article_processing_charge":"No","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"date_created":"2023-01-26T10:00:42Z"},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"publication":"Analysis and PDE","external_id":{"isi":["000733976600004"],"arxiv":["1904.12532"]},"title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","project":[{"grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"arxiv":1,"citation":{"chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>.","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” <i>Analysis and PDE</i>, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","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.","short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021).  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>.","ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R.  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. 2021;14(7):2079-2100. doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>"},"issue":"7","scopus_import":"1","oa_version":"Preprint","publication_status":"published","page":"2079-2100","day":"10","ec_funded":1,"abstract":[{"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.","lang":"eng"}],"date_updated":"2023-10-17T11:26:45Z","status":"public","month":"11","quality_controlled":"1","publication_identifier":{"issn":["2157-5045"],"eissn":["1948-206X"]},"isi":1,"article_type":"original","volume":14,"date_created":"2022-02-06T23:01:33Z","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","department":[{"_id":"RoSe"}],"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"        14","author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","full_name":"Leopold, Nikolai K","first_name":"Nikolai K"},{"full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","orcid":"0000-0001-5059-4466"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"oa":1,"_id":"10738","date_published":"2021-11-10T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.2140/APDE.2021.14.2079","publisher":"Mathematical Sciences Publishers","year":"2021","type":"journal_article"},{"doi":"10.1142/s0129055x20600120","language":[{"iso":"eng"}],"year":"2021","publisher":"World Scientific Publishing","type":"journal_article","author":[{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"_id":"10852","oa":1,"date_published":"2021-02-01T00:00:00Z","date_created":"2022-03-18T08:11:34Z","article_number":"2060012","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).","department":[{"_id":"RoSe"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","intvolume":"        33","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"month":"02","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"quality_controlled":"1","isi":1,"volume":33,"article_type":"original","date_updated":"2023-09-05T16:08:02Z","status":"public","day":"01","publication_status":"published","oa_version":"Preprint","abstract":[{"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.","lang":"eng"}],"ec_funded":1,"citation":{"ama":"Seiringer R. The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","apa":"Seiringer, R. (2021). The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","ieee":"R. Seiringer, “The polaron at strong coupling,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>."},"arxiv":1,"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"scopus_import":"1","issue":"01","main_file_link":[{"url":"https://arxiv.org/abs/1912.12509","open_access":"1"}],"publication":"Reviews in Mathematical Physics","title":"The polaron at strong coupling","external_id":{"arxiv":["1912.12509"],"isi":["000613313200013"]}},{"main_file_link":[{"url":"https://arxiv.org/abs/1910.08190","open_access":"1"}],"publication":"Reviews in Mathematical Physics","title":"Bosonic collective excitations in Fermi gases","external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"arxiv":1,"citation":{"apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. World Scientific. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>. World Scientific, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific, 2021."},"project":[{"call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"scopus_import":"1","issue":"1","day":"01","oa_version":"Preprint","publication_status":"published","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."}],"ec_funded":1,"date_updated":"2023-09-05T16:07:40Z","status":"public","month":"01","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"quality_controlled":"1","isi":1,"article_type":"original","volume":33,"date_created":"2020-05-28T16:47:55Z","article_number":"2060009","department":[{"_id":"RoSe"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","intvolume":"        33","author":[{"full_name":"Benedikter, Niels P","first_name":"Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter"}],"_id":"7900","oa":1,"date_published":"2021-01-01T00:00:00Z","doi":"10.1142/s0129055x20600090","language":[{"iso":"eng"}],"year":"2021","publisher":"World Scientific","type":"journal_article"},{"_id":"7901","oa":1,"author":[{"orcid":"0000-0002-1071-6091","last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P","full_name":"Benedikter, Niels P"},{"last_name":"Nam","first_name":"Phan Thành","full_name":"Nam, Phan Thành"},{"first_name":"Marcello","full_name":"Porta, Marcello","last_name":"Porta"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"date_published":"2021-05-03T00:00:00Z","year":"2021","publisher":"Springer","doi":"10.1007/s00222-021-01041-5","language":[{"iso":"eng"}],"type":"journal_article","publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"quality_controlled":"1","month":"05","volume":225,"article_type":"original","isi":1,"department":[{"_id":"RoSe"}],"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.","date_created":"2020-05-28T16:48:20Z","intvolume":"       225","file_date_updated":"2022-05-16T12:23:40Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"article_processing_charge":"Yes (via OA deal)","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"}],"ec_funded":1,"day":"03","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"page":"885-979","oa_version":"Published Version","publication_status":"published","date_updated":"2023-08-21T06:30:30Z","status":"public","title":"Correlation energy of a weakly interacting Fermi gas","file":[{"relation":"main_file","content_type":"application/pdf","access_level":"open_access","creator":"dernst","date_updated":"2022-05-16T12:23:40Z","success":1,"date_created":"2022-05-16T12:23:40Z","checksum":"f38c79dfd828cdc7f49a34b37b83d376","file_id":"11386","file_size":1089319,"file_name":"2021_InventMath_Benedikter.pdf"}],"external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"publication":"Inventiones Mathematicae","arxiv":1,"citation":{"ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>","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.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>."},"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"has_accepted_license":"1","scopus_import":"1"},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"01","page":"544-588","oa_version":"Published Version","publication_status":"published","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"}],"ec_funded":1,"status":"public","date_updated":"2023-08-04T11:02:16Z","publication":"Communications on Pure and Applied Mathematics","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","file":[{"file_id":"9236","date_created":"2021-03-11T10:03:30Z","checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","success":1,"date_updated":"2021-03-11T10:03:30Z","file_name":"2021_CommPureApplMath_Frank.pdf","file_size":334987,"access_level":"open_access","content_type":"application/pdf","relation":"main_file","creator":"dernst"}],"external_id":{"isi":["000572991500001"]},"scopus_import":"1","issue":"3","has_accepted_license":"1","citation":{"mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>.","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.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","apa":"Frank, R., &#38; Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. 2021;74(3):544-588. doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>","chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2021. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>.","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3. Wiley, pp. 544–588, 2021."},"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"}],"date_published":"2021-03-01T00:00:00Z","author":[{"full_name":"Frank, Rupert","first_name":"Rupert","last_name":"Frank"},{"first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"_id":"8603","oa":1,"type":"journal_article","doi":"10.1002/cpa.21944","language":[{"iso":"eng"}],"year":"2021","publisher":"Wiley","isi":1,"volume":74,"article_type":"original","month":"03","publication_identifier":{"eissn":["10970312"],"issn":["00103640"]},"quality_controlled":"1","file_date_updated":"2021-03-11T10:03:30Z","article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"intvolume":"        74","date_created":"2020-10-04T22:01:37Z","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"}]},{"year":"2021","publisher":"World Scientific","doi":"10.1142/S0129055X20600065","language":[{"iso":"eng"}],"type":"journal_article","_id":"7685","oa":1,"author":[{"full_name":"Boccato, Chiara","first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato"}],"date_published":"2021-01-01T00:00:00Z","department":[{"_id":"RoSe"}],"date_created":"2020-04-26T22:00:45Z","article_number":"2060006","intvolume":"        33","article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_identifier":{"issn":["0129-055X"]},"quality_controlled":"1","month":"01","volume":33,"article_type":"original","isi":1,"date_updated":"2023-08-04T10:50:13Z","status":"public","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."}],"ec_funded":1,"day":"01","oa_version":"Preprint","publication_status":"published","arxiv":1,"citation":{"ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific, 2021.","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>. World Scientific, 2021. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>.","ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060006, World Scientific, 2021, doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. World Scientific. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006."},"project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"scopus_import":"1","issue":"1","main_file_link":[{"url":"https://arxiv.org/abs/2001.00497","open_access":"1"}],"title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"publication":"Reviews in Mathematical Physics"},{"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"         3","date_created":"2024-01-28T23:01:43Z","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.","department":[{"_id":"RoSe"}],"article_type":"original","volume":3,"month":"10","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"quality_controlled":"1","type":"journal_article","doi":"10.2140/paa.2021.3.653","language":[{"iso":"eng"}],"year":"2021","publisher":"Mathematical Sciences Publishers","date_published":"2021-10-01T00:00:00Z","author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","full_name":"Leopold, Nikolai K","first_name":"Nikolai K"},{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"_id":"14889","oa":1,"scopus_import":"1","issue":"4","citation":{"chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>.","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","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.","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. 2021;3(4):653-676. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>"},"arxiv":1,"project":[{"name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020"},{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication":"Pure and Applied Analysis","title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","external_id":{"arxiv":["2005.02098"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"status":"public","date_updated":"2024-02-05T10:02:45Z","day":"01","page":"653-676","publication_status":"published","oa_version":"Preprint","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},{"month":"10","quality_controlled":"1","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"article_type":"original","volume":3,"date_created":"2024-01-28T23:01:43Z","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.","department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","intvolume":"         3","author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","first_name":"Lea"},{"full_name":"Petrat, Sören P","first_name":"Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"},{"last_name":"Soffer","full_name":"Soffer, Avy","first_name":"Avy"}],"oa":1,"_id":"14890","date_published":"2021-10-01T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.677","publisher":"Mathematical Sciences Publishers","year":"2021","type":"journal_article","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1912.11004"}],"publication":"Pure and Applied Analysis","external_id":{"arxiv":["1912.11004"]},"title":"Beyond Bogoliubov dynamics","project":[{"name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411"}],"arxiv":1,"citation":{"apa":"Bossmann, L., Petrat, S. P., Pickl, P., &#38; Soffer, A. (2021). Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>","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.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>.","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726.","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. 2021;3(4):677-726. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>.","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021."},"issue":"4","scopus_import":"1","page":"677-726","oa_version":"Preprint","publication_status":"published","day":"01","ec_funded":1,"abstract":[{"lang":"eng","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."}],"date_updated":"2024-02-05T09:26:31Z","status":"public"},{"language":[{"iso":"eng"}],"doi":"10.1103/PhysRevLett.126.015301","publisher":"American Physical Society","year":"2021","type":"journal_article","author":[{"orcid":"0000-0002-6249-0928","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks","full_name":"Brooks, Morris","first_name":"Morris"},{"full_name":"Lemeshko, Mikhail","first_name":"Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Lundholm","first_name":"D.","full_name":"Lundholm, D."},{"full_name":"Yakaboylu, Enderalp","first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","orcid":"0000-0001-5973-0874"}],"oa":1,"_id":"9005","date_published":"2021-01-08T00:00:00Z","article_number":"015301","date_created":"2021-01-17T23:01:10Z","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).","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","intvolume":"       126","month":"01","quality_controlled":"1","publication_identifier":{"eissn":["10797114"],"issn":["00319007"]},"isi":1,"article_type":"original","volume":126,"date_updated":"2023-08-07T13:32:10Z","status":"public","publication_status":"published","oa_version":"Preprint","day":"08","ec_funded":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."}],"project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","call_identifier":"H2020"}],"arxiv":1,"citation":{"ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” <i>Physical Review Letters</i>, vol. 126, no. 1. American Physical Society, 2021.","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. 2021;126(1). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>","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.","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>"},"issue":"1","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2009.05948","open_access":"1"}],"publication":"Physical Review Letters","external_id":{"arxiv":["2009.05948"],"isi":["000606325000003"]},"related_material":{"link":[{"description":"News on IST Homepage","relation":"press_release","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/"}],"record":[{"relation":"dissertation_contains","status":"public","id":"12390"}]},"title":"Molecular impurities as a realization of anyons on the two-sphere"},{"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)","department":[{"_id":"RoSe"}],"date_created":"2021-03-07T23:01:25Z","article_number":"19","intvolume":"       111","ddc":["510"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"Yes (via OA deal)","file_date_updated":"2021-03-09T11:44:34Z","quality_controlled":"1","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"month":"02","volume":111,"article_type":"original","isi":1,"publisher":"Springer Nature","year":"2021","language":[{"iso":"eng"}],"doi":"10.1007/s11005-020-01350-5","type":"journal_article","oa":1,"_id":"9225","author":[{"orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario","full_name":"Feliciangeli, Dario"},{"first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"},{"first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"date_published":"2021-02-11T00:00:00Z","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>, vol. 111, 19, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021."},"has_accepted_license":"1","scopus_import":"1","external_id":{"isi":["000617195700001"]},"related_material":{"record":[{"relation":"dissertation_contains","id":"9733","status":"public"}]},"title":"Persistence of the spectral gap for the Landau–Pekar equations","file":[{"file_size":391205,"file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","success":1,"date_updated":"2021-03-09T11:44:34Z","checksum":"ffbfe1aad623bce7ff529c207e343b53","date_created":"2021-03-09T11:44:34Z","file_id":"9232","creator":"dernst","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"publication":"Letters in Mathematical Physics","date_updated":"2023-09-07T13:30:11Z","status":"public","ec_funded":1,"abstract":[{"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.","lang":"eng"}],"publication_status":"published","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"11"}]