[{"external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"isi":1,"quality_controlled":"1","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"}],"doi":"10.1063/5.0089983","language":[{"iso":"eng"}],"month":"06","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"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.","year":"2022","publication_status":"published","publisher":"AIP Publishing","department":[{"_id":"RoSe"}],"author":[{"last_name":"Bossmann","first_name":"Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea"}],"date_updated":"2023-08-03T12:46:28Z","date_created":"2022-08-11T06:37:52Z","volume":63,"article_number":"061102","file_date_updated":"2022-08-11T07:03:02Z","ec_funded":1,"license":"https://creativecommons.org/licenses/by/4.0/","publication":"Journal of Mathematical Physics","citation":{"ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 2022;63(6). doi:10.1063/5.0089983","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0089983","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 63, no. 6. AIP Publishing, 2022.","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:10.1063/5.0089983.","chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0089983."},"article_type":"original","date_published":"2022-06-10T00:00:00Z","scopus_import":"1","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"day":"10","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","_id":"11783","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","ddc":["530"],"title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","intvolume":" 63","oa_version":"Published Version","file":[{"success":1,"checksum":"d0d32c338c1896680174be88c70968fa","date_updated":"2022-08-11T07:03:02Z","date_created":"2022-08-11T07:03:02Z","file_id":"11784","relation":"main_file","creator":"dernst","file_size":5957888,"content_type":"application/pdf","access_level":"open_access","file_name":"2022_JourMathPhysics_Bossmann.pdf"}],"type":"journal_article","abstract":[{"lang":"eng","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."}],"issue":"6"},{"ec_funded":1,"file_date_updated":"2022-08-18T08:09:00Z","article_number":"9","volume":188,"date_created":"2022-08-18T07:23:26Z","date_updated":"2023-08-03T12:55:58Z","author":[{"full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","first_name":"Simone Anna Elvira"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","year":"2022","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.","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"month":"07","language":[{"iso":"eng"}],"doi":"10.1007/s10955-022-02940-4","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"}],"isi":1,"quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000805175000001"]},"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."}],"type":"journal_article","oa_version":"Published Version","file":[{"creator":"dernst","content_type":"application/pdf","file_size":483481,"file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","access_level":"open_access","date_created":"2022-08-18T08:09:00Z","date_updated":"2022-08-18T08:09:00Z","success":1,"checksum":"44418cb44f07fa21ed3907f85abf7f39","file_id":"11922","relation":"main_file"}],"intvolume":" 188","title":"Large deviation estimates for weakly interacting bosons","ddc":["510"],"status":"public","_id":"11917","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","date_published":"2022-07-01T00:00:00Z","article_type":"original","citation":{"ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4","apa":"Rademacher, S. A. E., & Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02940-4","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” Journal of Statistical Physics, vol. 188. Springer Nature, 2022.","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188, 9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4."},"publication":"Journal of Statistical Physics"},{"article_number":"081902","ec_funded":1,"file_date_updated":"2022-09-12T07:35:34Z","department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","publication_status":"published","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.","year":"2022","volume":63,"date_created":"2022-09-11T22:01:56Z","date_updated":"2023-08-03T13:57:19Z","author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira"}],"publication_identifier":{"issn":["0022-2488"]},"month":"08","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"}],"isi":1,"quality_controlled":"1","external_id":{"arxiv":["2112.04817"],"isi":["000844402500001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1063/5.0086712","type":"journal_article","issue":"8","abstract":[{"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.","lang":"eng"}],"intvolume":" 63","title":"Dependent random variables in quantum dynamics","ddc":["510"],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"12083","file":[{"file_id":"12089","relation":"main_file","success":1,"checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","date_created":"2022-09-12T07:35:34Z","date_updated":"2022-09-12T07:35:34Z","access_level":"open_access","file_name":"2022_JourMathPhysics_Rademacher.pdf","creator":"dernst","file_size":4552261,"content_type":"application/pdf"}],"oa_version":"Published Version","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"25","article_type":"original","citation":{"mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:10.1063/5.0086712.","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).","chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0086712.","ama":"Rademacher SAE. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 2022;63(8). doi:10.1063/5.0086712","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.","ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” Journal of Mathematical Physics, vol. 63, no. 8. AIP Publishing, 2022.","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0086712"},"publication":"Journal of Mathematical Physics","date_published":"2022-08-25T00:00:00Z"},{"citation":{"short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","mla":"Brooks, Morris. Translation-Invariant Quantum Systems with Effectively Broken Symmetry. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12390.","chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12390.","ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:10.15479/at:ista:12390","ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022.","apa":"Brooks, M. (2022). Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12390","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria."},"page":"196","date_published":"2022-12-15T00:00:00Z","day":"15","article_processing_charge":"No","has_accepted_license":"1","_id":"12390","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"Translation-invariant quantum systems with effectively broken symmetry","status":"public","ddc":["500"],"oa_version":"Published Version","file":[{"creator":"cchlebak","content_type":"application/pdf","file_size":3095225,"file_name":"Brooks_Thesis.pdf","access_level":"open_access","date_created":"2023-01-26T10:02:34Z","date_updated":"2023-01-26T10:02:34Z","success":1,"checksum":"b31460e937f33b557abb40ebef02b567","file_id":"12391","relation":"main_file"},{"checksum":"9751869fa5e7981588ad4228f4fd4bd6","date_updated":"2023-01-26T10:02:42Z","date_created":"2023-01-26T10:02:42Z","file_id":"12392","relation":"source_file","creator":"cchlebak","file_size":809842,"content_type":"application/octet-stream","access_level":"closed","file_name":"Brooks_Thesis.tex"}],"type":"dissertation","alternative_title":["ISTA Thesis"],"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"}],"oa":1,"tmp":{"name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","short":"CC BY-NC-SA (4.0)"},"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"doi":"10.15479/at:ista:12390","supervisor":[{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"degree_awarded":"PhD","language":[{"iso":"eng"}],"month":"12","publication_identifier":{"issn":["2663-337X"]},"year":"2022","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"Institute of Science and Technology Austria","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","first_name":"Morris","last_name":"Brooks","full_name":"Brooks, Morris"}],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"9005"}]},"date_created":"2023-01-26T10:00:42Z","date_updated":"2023-08-07T13:32:09Z","file_date_updated":"2023-01-26T10:02:42Z","ec_funded":1,"license":"https://creativecommons.org/licenses/by-nc-sa/4.0/"},{"ec_funded":1,"file_date_updated":"2022-08-08T07:36:34Z","article_number":"5","volume":189,"date_updated":"2023-09-05T14:57:49Z","date_created":"2022-08-05T11:36:56Z","author":[{"full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X"},{"orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard"}],"publisher":"Springer Nature","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"publication_status":"published","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)","year":"2022","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"month":"07","language":[{"iso":"eng"}],"doi":"10.1007/s10955-022-02965-9","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"isi":1,"quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000833007200002"]},"abstract":[{"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.","lang":"eng"}],"type":"journal_article","file":[{"file_name":"2022_JourStatisticalPhysics_Henheik.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":419563,"file_id":"11746","relation":"main_file","date_updated":"2022-08-08T07:36:34Z","date_created":"2022-08-08T07:36:34Z","success":1,"checksum":"b398c4dbf65f71d417981d6e366427e9"}],"oa_version":"Published Version","intvolume":" 189","title":"The BCS energy gap at high density","status":"public","ddc":["530"],"_id":"11732","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"29","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","date_published":"2022-07-29T00:00:00Z","article_type":"original","citation":{"short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022.","apa":"Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5."},"publication":"Journal of Statistical Physics"},{"title":"Improved Lieb–Oxford bound on the indirect and exchange energies","status":"public","intvolume":" 112","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"12246","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","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."}],"issue":"5","article_type":"original","publication":"Letters in Mathematical Physics","citation":{"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.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer Nature, 2022, doi:10.1007/s11005-022-01584-5.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5.","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 2022;112(5). doi:10.1007/s11005-022-01584-5","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” Letters in Mathematical Physics, vol. 112, no. 5. Springer Nature, 2022.","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-022-01584-5","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."},"date_published":"2022-09-15T00:00:00Z","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","day":"15","article_processing_charge":"No","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","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.","year":"2022","date_updated":"2023-09-05T15:17:34Z","date_created":"2023-01-16T09:53:54Z","volume":112,"author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"last_name":"Lieb","first_name":"Elliott H.","full_name":"Lieb, Elliott H."},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"article_number":"92","ec_funded":1,"quality_controlled":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12473"}],"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s11005-022-01584-5","month":"09","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]}},{"_id":"11473","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","ddc":["515","539"],"title":"Polarons in Bose gases and polar crystals: Some rigorous energy estimates","file":[{"access_level":"open_access","file_name":"thes1_no_isbn_2_1b.pdf","creator":"kmysliwy","file_size":1830973,"content_type":"application/pdf","file_id":"11486","relation":"main_file","success":1,"checksum":"7970714a20a6052f75fb27a6c3e9976e","date_created":"2022-07-05T08:12:56Z","date_updated":"2022-07-05T08:12:56Z"},{"access_level":"closed","file_name":"thes_source.zip","file_size":5831060,"content_type":"application/zip","creator":"kmysliwy","relation":"source_file","file_id":"11487","checksum":"647a2011fdf56277096c9350fefe1097","date_created":"2022-07-05T08:15:52Z","date_updated":"2022-07-05T08:17:12Z"}],"oa_version":"Published Version","type":"dissertation","alternative_title":["ISTA Thesis"],"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"}],"citation":{"chicago":"Mysliwy, Krzysztof. “Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:11473.","short":"K. Mysliwy, Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates, Institute of Science and Technology Austria, 2022.","mla":"Mysliwy, Krzysztof. Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:11473.","ieee":"K. Mysliwy, “Polarons in Bose gases and polar crystals: Some rigorous energy estimates,” Institute of Science and Technology Austria, 2022.","apa":"Mysliwy, K. (2022). Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:11473","ista":"Mysliwy K. 2022. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria.","ama":"Mysliwy K. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. 2022. doi:10.15479/at:ista:11473"},"page":"138","date_published":"2022-07-01T00:00:00Z","day":"01","article_processing_charge":"No","has_accepted_license":"1","year":"2022","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"Institute of Science and Technology Austria","author":[{"full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87"}],"related_material":{"record":[{"id":"10564","relation":"part_of_dissertation","status":"public"},{"id":"8705","status":"public","relation":"part_of_dissertation"}]},"date_updated":"2023-09-07T13:43:52Z","date_created":"2022-06-30T12:15:03Z","file_date_updated":"2022-07-05T08:17:12Z","ec_funded":1,"oa":1,"project":[{"grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"International IST Doctoral Program"}],"doi":"10.15479/at:ista:11473","acknowledged_ssus":[{"_id":"SSU"}],"degree_awarded":"PhD","supervisor":[{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"language":[{"iso":"eng"}],"month":"07","publication_identifier":{"issn":["2663-337X"]}},{"file_date_updated":"2022-02-02T14:24:41Z","ec_funded":1,"article_number":"5","author":[{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"id":"11473","status":"public","relation":"dissertation_contains"}]},"date_created":"2021-12-19T23:01:32Z","date_updated":"2023-09-07T13:43:51Z","volume":186,"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).","year":"2022","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","month":"01","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"doi":"10.1007/s10955-021-02851-w","language":[{"iso":"eng"}],"external_id":{"arxiv":["2106.09328"],"isi":["000726275600001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"isi":1,"quality_controlled":"1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"abstract":[{"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.","lang":"eng"}],"issue":"1","type":"journal_article","file":[{"success":1,"checksum":"da03f6d293c4b9802091bce9471b1d29","date_created":"2022-02-02T14:24:41Z","date_updated":"2022-02-02T14:24:41Z","file_id":"10716","relation":"main_file","creator":"cchlebak","content_type":"application/pdf","file_size":434957,"access_level":"open_access","file_name":"2022_JournalStatPhys_Myśliwy.pdf"}],"oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10564","ddc":["530"],"title":"Polaron models with regular interactions at strong coupling","status":"public","intvolume":" 186","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","date_published":"2022-01-01T00:00:00Z","publication":"Journal of Statistical Physics","citation":{"mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5, Springer Nature, 2022, doi:10.1007/s10955-021-02851-w.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 2022;186(1). doi:10.1007/s10955-021-02851-w","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","apa":"Mysliwy, K., & Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-021-02851-w","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” Journal of Statistical Physics, vol. 186, no. 1. Springer Nature, 2022."},"article_type":"original"},{"month":"06","publication_identifier":{"issn":["0022-1236"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000795160200009"],"arxiv":["2105.04874"]},"oa":1,"quality_controlled":"1","isi":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"doi":"10.1016/j.jfa.2022.109455","language":[{"iso":"eng"}],"article_number":"109455","file_date_updated":"2022-08-02T10:37:55Z","ec_funded":1,"year":"2022","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.","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"Elsevier","author":[{"full_name":"Roos, Barbara","first_name":"Barbara","last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"related_material":{"record":[{"id":"14374","relation":"dissertation_contains","status":"public"}]},"date_created":"2022-03-16T08:41:53Z","date_updated":"2023-10-27T10:37:29Z","volume":282,"scopus_import":"1","keyword":["Analysis"],"day":"15","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication":"Journal of Functional Analysis","citation":{"ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 2022;282(12). doi:10.1016/j.jfa.2022.109455","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” Journal of Functional Analysis, vol. 282, no. 12. Elsevier, 2022.","apa":"Roos, B., & Seiringer, R. (2022). Two-particle bound states at interfaces and corners. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2022.109455","mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis, vol. 282, no. 12, 109455, Elsevier, 2022, doi:10.1016/j.jfa.2022.109455.","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109455."},"article_type":"original","date_published":"2022-06-15T00:00:00Z","type":"journal_article","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"}],"issue":"12","_id":"10850","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","ddc":["510"],"title":"Two-particle bound states at interfaces and corners","intvolume":" 282","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":631391,"creator":"dernst","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","access_level":"open_access","date_created":"2022-08-02T10:37:55Z","date_updated":"2022-08-02T10:37:55Z","checksum":"63efcefaa1f2717244ef5407bd564426","success":1,"relation":"main_file","file_id":"11720"}]},{"file_date_updated":"2022-02-14T08:20:19Z","ec_funded":1,"article_number":"015201","date_updated":"2024-03-06T12:30:44Z","date_created":"2022-02-13T23:01:35Z","volume":55,"author":[{"full_name":"Feliciangeli, Dario","last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"9791"}]},"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"IOP Publishing","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon\r\n2020 research and innovation programme under the ERC Grant Agreement No. 694227\r\n(DF and RS) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (SR) is\r\ngratefully acknowledged.","year":"2022","month":"01","publication_identifier":{"eissn":["1751-8121"],"issn":["1751-8113"]},"language":[{"iso":"eng"}],"doi":"10.1088/1751-8121/ac3947","quality_controlled":"1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2107.03720"]},"abstract":[{"text":"We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423).","lang":"eng"}],"issue":"1","type":"journal_article","file":[{"file_name":"2022_JournalPhysicsA_Feliciangeli.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":1132380,"file_id":"10757","relation":"main_file","date_updated":"2022-02-14T08:20:19Z","date_created":"2022-02-14T08:20:19Z","success":1,"checksum":"0875e562705563053d6dd98fba4d8578"}],"oa_version":"Published Version","ddc":["510"],"title":"The effective mass problem for the Landau-Pekar equations","status":"public","intvolume":" 55","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"10755","day":"19","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","date_published":"2022-01-19T00:00:00Z","article_type":"original","publication":"Journal of Physics A: Mathematical and Theoretical","citation":{"chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2022. https://doi.org/10.1088/1751-8121/ac3947.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:10.1088/1751-8121/ac3947.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2022). The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/ac3947","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1. IOP Publishing, 2022.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 2022;55(1). doi:10.1088/1751-8121/ac3947"}},{"file_date_updated":"2022-01-03T10:15:05Z","article_number":"106","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","first_name":"Morris","last_name":"Brooks","full_name":"Brooks, Morris"},{"full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","last_name":"Lemeshko"},{"first_name":"Douglas","last_name":"Lundholm","full_name":"Lundholm, Douglas"},{"full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","first_name":"Enderalp"}],"date_created":"2022-01-02T23:01:33Z","date_updated":"2023-06-15T14:51:49Z","volume":9,"acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804).","year":"2021","publication_status":"published","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"MDPI","month":"12","publication_identifier":{"eissn":["2218-2004"]},"doi":"10.3390/atoms9040106","language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2108.06966"]},"oa":1,"quality_controlled":"1","abstract":[{"lang":"eng","text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle"}],"issue":"4","type":"journal_article","oa_version":"Published Version","file":[{"file_name":"2021_Atoms_Brooks.pdf","access_level":"open_access","content_type":"application/pdf","file_size":303070,"creator":"alisjak","relation":"main_file","file_id":"10592","date_created":"2022-01-03T10:15:05Z","date_updated":"2022-01-03T10:15:05Z","checksum":"d0e44b95f36c9e06724f66832af0f8c3","success":1}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"10585","status":"public","ddc":["530"],"title":"Emergence of anyons on the two-sphere in molecular impurities","intvolume":" 9","day":"02","has_accepted_license":"1","article_processing_charge":"Yes","scopus_import":"1","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"date_published":"2021-12-02T00:00:00Z","publication":"Atoms","citation":{"ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. Atoms. MDPI. https://doi.org/10.3390/atoms9040106","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” Atoms, vol. 9, no. 4. MDPI, 2021.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106","chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms. MDPI, 2021. https://doi.org/10.3390/atoms9040106.","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms, vol. 9, no. 4, 106, MDPI, 2021, doi:10.3390/atoms9040106.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021)."},"article_type":"original"},{"publication_identifier":{"issn":["0129-055X"]},"month":"01","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"quality_controlled":"1","isi":1,"oa":1,"external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"main_file_link":[{"url":"https://arxiv.org/abs/2001.00497","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.1142/S0129055X20600065","article_number":"2060006","ec_funded":1,"department":[{"_id":"RoSe"}],"publisher":"World Scientific","publication_status":"published","year":"2021","volume":33,"date_created":"2020-04-26T22:00:45Z","date_updated":"2023-08-04T10:50:13Z","author":[{"full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","last_name":"Boccato"}],"scopus_import":"1","article_processing_charge":"No","day":"01","article_type":"original","citation":{"ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/S0129055X20600065","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/S0129055X20600065","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060006, World Scientific, 2021, doi:10.1142/S0129055X20600065.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/S0129055X20600065."},"publication":"Reviews in Mathematical Physics","date_published":"2021-01-01T00:00:00Z","type":"journal_article","issue":"1","abstract":[{"lang":"eng","text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein."}],"intvolume":" 33","status":"public","title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","_id":"7685","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint"},{"ec_funded":1,"file_date_updated":"2021-03-11T10:03:30Z","year":"2021","acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","department":[{"_id":"RoSe"}],"publisher":"Wiley","publication_status":"published","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"volume":74,"date_updated":"2023-08-04T11:02:16Z","date_created":"2020-10-04T22:01:37Z","publication_identifier":{"issn":["00103640"],"eissn":["10970312"]},"month":"03","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000572991500001"]},"oa":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"quality_controlled":"1","isi":1,"doi":"10.1002/cpa.21944","language":[{"iso":"eng"}],"type":"journal_article","issue":"3","abstract":[{"text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.","lang":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8603","intvolume":" 74","ddc":["510"],"title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","status":"public","file":[{"content_type":"application/pdf","file_size":334987,"creator":"dernst","file_name":"2021_CommPureApplMath_Frank.pdf","access_level":"open_access","date_updated":"2021-03-11T10:03:30Z","date_created":"2021-03-11T10:03:30Z","checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","success":1,"relation":"main_file","file_id":"9236"}],"oa_version":"Published Version","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"01","citation":{"chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944.","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","apa":"Frank, R., & Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21944","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” Communications on Pure and Applied Mathematics, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 2021;74(3):544-588. doi:10.1002/cpa.21944"},"publication":"Communications on Pure and Applied Mathematics","page":"544-588","article_type":"original","date_published":"2021-03-01T00:00:00Z"},{"publication_identifier":{"eissn":["10797114"],"issn":["00319007"]},"month":"01","doi":"10.1103/PhysRevLett.126.015301","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2009.05948","open_access":"1"}],"oa":1,"external_id":{"arxiv":["2009.05948"],"isi":["000606325000003"]},"project":[{"call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770"}],"isi":1,"quality_controlled":"1","ec_funded":1,"article_number":"015301","related_material":{"record":[{"id":"12390","status":"public","relation":"dissertation_contains"}],"link":[{"relation":"press_release","description":"News on IST Homepage","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/"}]},"author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","first_name":"Morris","last_name":"Brooks","full_name":"Brooks, Morris"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail"},{"full_name":"Lundholm, D.","last_name":"Lundholm","first_name":"D."},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","first_name":"Enderalp","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp"}],"volume":126,"date_updated":"2023-08-07T13:32:10Z","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).","year":"2021","publisher":"American Physical Society","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publication_status":"published","article_processing_charge":"No","day":"08","scopus_import":"1","date_published":"2021-01-08T00:00:00Z","citation":{"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.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.126.015301","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” Physical Review Letters, vol. 126, no. 1. American Physical Society, 2021.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.015301.","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:10.1103/PhysRevLett.126.015301.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021)."},"publication":"Physical Review Letters","article_type":"original","issue":"1","abstract":[{"lang":"eng","text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field."}],"type":"journal_article","oa_version":"Preprint","_id":"9005","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 126","title":"Molecular impurities as a realization of anyons on the two-sphere","status":"public"},{"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","isi":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2001.03993"],"isi":["000622226200001"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00205-021-01616-9","publication_identifier":{"eissn":["14320673"],"issn":["00039527"]},"month":"02","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","year":"2021","acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","volume":240,"date_updated":"2023-08-07T14:12:27Z","date_created":"2021-03-14T23:01:34Z","author":[{"full_name":"Leopold, Nikolai K","last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"ec_funded":1,"file_date_updated":"2021-03-22T08:31:29Z","page":"383-417","article_type":"original","citation":{"chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9.","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.","short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.","ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” Archive for Rational Mechanics and Analysis, vol. 240. Springer Nature, pp. 383–417, 2021.","apa":"Leopold, N. K., Mitrouskas, D. J., & Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01616-9","ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 2021;240:383-417. doi:10.1007/s00205-021-01616-9"},"publication":"Archive for Rational Mechanics and Analysis","date_published":"2021-02-26T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"26","intvolume":" 240","ddc":["510"],"status":"public","title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9246","file":[{"file_name":"2021_ArchRationalMechAnal_Leopold.pdf","access_level":"open_access","creator":"dernst","file_size":558006,"content_type":"application/pdf","file_id":"9270","relation":"main_file","date_created":"2021-03-22T08:31:29Z","date_updated":"2021-03-22T08:31:29Z","success":1,"checksum":"23449e44dc5132501a5c86e70638800f"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order.","lang":"eng"}]},{"issue":"2","abstract":[{"lang":"eng","text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature."}],"type":"journal_article","file":[{"date_created":"2021-03-22T11:01:09Z","date_updated":"2021-03-22T11:01:09Z","checksum":"687fef1525789c0950de90468dd81604","success":1,"relation":"main_file","file_id":"9273","file_size":397962,"content_type":"application/pdf","creator":"dernst","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","access_level":"open_access"}],"oa_version":"Published Version","intvolume":" 111","title":"Free energy asymptotics of the quantum Heisenberg spin chain","ddc":["510"],"status":"public","_id":"9256","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"09","scopus_import":"1","date_published":"2021-03-09T00:00:00Z","article_type":"original","citation":{"chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.","apa":"Napiórkowski, M. M., & Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01375-4","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” Letters in Mathematical Physics, vol. 111, no. 2. Springer Nature, 2021.","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 2021;111(2). doi:10.1007/s11005-021-01375-4"},"publication":"Letters in Mathematical Physics","file_date_updated":"2021-03-22T11:01:09Z","article_number":"31","volume":111,"date_updated":"2023-08-07T14:17:00Z","date_created":"2021-03-21T23:01:19Z","author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","year":"2021","acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"month":"03","language":[{"iso":"eng"}],"doi":"10.1007/s11005-021-01375-4","quality_controlled":"1","isi":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000626837400001"]},"oa":1},{"article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"26","scopus_import":"1","date_published":"2021-03-26T00:00:00Z","citation":{"apa":"Bossmann, L., Petrat, S. P., & Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.22","ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.","ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.22","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22."},"publication":"Forum of Mathematics, Sigma","article_type":"original","abstract":[{"text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N.","lang":"eng"}],"type":"journal_article","oa_version":"Published Version","file":[{"file_name":"2021_ForumMath_Bossmann.pdf","access_level":"open_access","content_type":"application/pdf","file_size":883851,"creator":"dernst","relation":"main_file","file_id":"9319","date_created":"2021-04-12T07:15:58Z","date_updated":"2021-04-12T07:15:58Z","checksum":"17a3e6786d1e930cf0c14a880a6d7e92","success":1}],"_id":"9318","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 9","ddc":["510"],"status":"public","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","publication_identifier":{"eissn":["20505094"]},"month":"03","doi":"10.1017/fms.2021.22","language":[{"iso":"eng"}],"external_id":{"isi":["000634006900001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"quality_controlled":"1","isi":1,"ec_funded":1,"file_date_updated":"2021-04-12T07:15:58Z","article_number":"e28","author":[{"orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","first_name":"Lea","full_name":"Bossmann, Lea"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"volume":9,"date_updated":"2023-08-07T14:35:06Z","date_created":"2021-04-11T22:01:15Z","acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","year":"2021","department":[{"_id":"RoSe"}],"publisher":"Cambridge University Press","publication_status":"published"},{"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","acknowledgement":"I thank Marcel Griesemer for many interesting discussions about the Fröhlich polaron and also for valuable comments on this manuscript. Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL.","year":"2021","date_updated":"2023-08-08T13:09:28Z","date_created":"2021-04-18T22:01:41Z","volume":111,"author":[{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"}],"article_number":"45","file_date_updated":"2021-04-19T10:40:01Z","isi":1,"quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000637359300002"]},"language":[{"iso":"eng"}],"doi":"10.1007/s11005-021-01380-7","month":"04","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"status":"public","ddc":["510"],"title":"A note on the Fröhlich dynamics in the strong coupling limit","intvolume":" 111","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9333","file":[{"creator":"dernst","file_size":438084,"content_type":"application/pdf","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","access_level":"open_access","date_updated":"2021-04-19T10:40:01Z","date_created":"2021-04-19T10:40:01Z","success":1,"checksum":"be56c0845a43c0c5c772ee0b5053f7d7","file_id":"9341","relation":"main_file"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"lang":"eng","text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation."}],"article_type":"original","publication":"Letters in Mathematical Physics","citation":{"ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01380-7","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-021-01380-7","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01380-7.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","mla":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics, vol. 111, 45, Springer Nature, 2021, doi:10.1007/s11005-021-01380-7."},"date_published":"2021-04-05T00:00:00Z","scopus_import":"1","day":"05","has_accepted_license":"1","article_processing_charge":"No"},{"file":[{"file_name":"2021_Annales_Kirkpatrick.pdf","access_level":"open_access","creator":"cchlebak","content_type":"application/pdf","file_size":522669,"file_id":"10143","relation":"main_file","date_updated":"2021-10-15T11:15:40Z","date_created":"2021-10-15T11:15:40Z","success":1,"checksum":"1a0fb963f2f415ba470881a794f20eb6"}],"oa_version":"Published Version","_id":"9351","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"A large deviation principle in many-body quantum dynamics","ddc":["530"],"status":"public","intvolume":" 22","abstract":[{"lang":"eng","text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. "}],"type":"journal_article","date_published":"2021-04-08T00:00:00Z","publication":"Annales Henri Poincare","citation":{"ama":"Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 2021;22:2595-2618. doi:10.1007/s00023-021-01044-1","apa":"Kirkpatrick, K., Rademacher, S. A. E., & Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-021-01044-1","ieee":"K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” Annales Henri Poincare, vol. 22. Springer Nature, pp. 2595–2618, 2021.","ista":"Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.","short":"K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618.","mla":"Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:10.1007/s00023-021-01044-1.","chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01044-1."},"article_type":"original","page":"2595-2618","day":"08","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","author":[{"first_name":"Kay","last_name":"Kirkpatrick","full_name":"Kirkpatrick, Kay"},{"full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"date_updated":"2023-08-08T13:14:40Z","date_created":"2021-04-25T22:01:30Z","volume":22,"year":"2021","acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","file_date_updated":"2021-10-15T11:15:40Z","ec_funded":1,"doi":"10.1007/s00023-021-01044-1","language":[{"iso":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2010.13754"],"isi":["000638022600001"]},"isi":1,"quality_controlled":"1","project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"month":"04","publication_identifier":{"issn":["1424-0637"]}},{"oa_version":"Preprint","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9348","status":"public","title":"Sharp tunneling estimates for a double-well model in infinite dimension","intvolume":" 281","abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"issue":"3","type":"journal_article","date_published":"2021-04-07T00:00:00Z","publication":"Journal of Functional Analysis","citation":{"ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029.","apa":"Brooks, M., & Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109029","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” Journal of Functional Analysis, vol. 281, no. 3. Elsevier, 2021.","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109029.","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis, vol. 281, no. 3, 109029, Elsevier, 2021, doi:10.1016/j.jfa.2021.109029.","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021)."},"article_type":"original","day":"07","article_processing_charge":"No","scopus_import":"1","author":[{"full_name":"Brooks, Morris","last_name":"Brooks","first_name":"Morris","orcid":"0000-0002-6249-0928","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"last_name":"Di Gesù","first_name":"Giacomo","full_name":"Di Gesù, Giacomo"}],"date_created":"2021-04-25T22:01:29Z","date_updated":"2023-08-08T13:15:11Z","volume":281,"acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","year":"2021","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Elsevier","article_number":"109029","doi":"10.1016/j.jfa.2021.109029","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1911.03187"}],"oa":1,"external_id":{"isi":["000644702800005"],"arxiv":["1911.03187"]},"quality_controlled":"1","isi":1,"month":"04","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]}}]