[{"page":"2523-2541","publication":"Letters in Mathematical Physics","citation":{"chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.","short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.","apa":"Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y"},"date_published":"2018-05-11T00:00:00Z","scopus_import":"1","day":"11","article_processing_charge":"No","has_accepted_license":"1","status":"public","ddc":["510"],"title":"Fermionic behavior of ideal anyons","intvolume":" 108","_id":"295","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"relation":"main_file","file_id":"5698","checksum":"8beb9632fa41bbd19452f55f31286a31","date_updated":"2020-07-14T12:45:55Z","date_created":"2018-12-17T12:14:17Z","access_level":"open_access","file_name":"2018_LettMathPhys_Lundholm.pdf","content_type":"application/pdf","file_size":551996,"creator":"dernst"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"lang":"eng","text":"We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons."}],"issue":"11","isi":1,"quality_controlled":"1","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"external_id":{"arxiv":["1712.06218"],"isi":["000446491500008"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s11005-018-1091-y","month":"05","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.","year":"2018","date_updated":"2023-09-11T14:01:57Z","date_created":"2018-12-11T11:45:40Z","volume":108,"author":[{"full_name":"Lundholm, Douglas","first_name":"Douglas","last_name":"Lundholm"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"file_date_updated":"2020-07-14T12:45:55Z","publist_id":"7586","ec_funded":1},{"title":"Persistence of translational symmetry in the BCS model with radial pair interaction","status":"public","ddc":["510"],"intvolume":" 19","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"400","file":[{"date_created":"2018-12-12T10:12:47Z","date_updated":"2020-07-14T12:46:22Z","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","relation":"main_file","file_id":"4966","file_size":582680,"content_type":"application/pdf","creator":"system","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","access_level":"open_access"}],"oa_version":"Published Version","pubrep_id":"1011","type":"journal_article","abstract":[{"text":"We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum, our results carry over to the three-dimensional case.","lang":"eng"}],"issue":"5","page":"1507 - 1527","publication":"Annales Henri Poincare","citation":{"chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare. Springer, 2018. https://doi.org/10.1007/s00023-018-0665-7.","mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.","ista":"Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 19(5), 1507–1527.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., & Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-0665-7","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 2018;19(5):1507-1527. doi:10.1007/s00023-018-0665-7"},"date_published":"2018-05-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"year":"2018","date_updated":"2023-09-15T12:04:15Z","date_created":"2018-12-11T11:46:15Z","volume":19,"author":[{"full_name":"Deuchert, Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert"},{"last_name":"Geisinge","first_name":"Alissa","full_name":"Geisinge, Alissa"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"full_name":"Loss, Michael","first_name":"Michael","last_name":"Loss"}],"file_date_updated":"2020-07-14T12:46:22Z","publist_id":"7429","ec_funded":1,"isi":1,"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"external_id":{"isi":["000429799900008"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00023-018-0665-7","month":"05"},{"citation":{"ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3","apa":"Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-018-9275-3","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 3. Springer, 2018.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3."},"publication":"Mathematical Physics Analysis and Geometry","article_type":"original","date_published":"2018-09-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","has_accepted_license":"1","day":"01","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"154","intvolume":" 21","status":"public","title":"Stability of the 2+2 fermionic system with point interactions","ddc":["530"],"oa_version":"Published Version","file":[{"date_updated":"2020-07-14T12:45:01Z","date_created":"2018-12-17T16:49:02Z","checksum":"411c4db5700d7297c9cd8ebc5dd29091","relation":"main_file","file_id":"5729","content_type":"application/pdf","file_size":496973,"creator":"dernst","file_name":"2018_MathPhysics_Moser.pdf","access_level":"open_access"}],"type":"journal_article","issue":"3","abstract":[{"text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.","lang":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000439639700001"]},"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund","call_identifier":"FWF"}],"isi":1,"quality_controlled":"1","doi":"10.1007/s11040-018-9275-3","language":[{"iso":"eng"}],"publication_identifier":{"issn":["13850172"],"eissn":["15729656"]},"month":"09","year":"2018","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","publisher":"Springer","department":[{"_id":"RoSe"}],"publication_status":"published","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"52"}]},"author":[{"full_name":"Moser, Thomas","first_name":"Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"volume":21,"date_created":"2018-12-11T11:44:55Z","date_updated":"2023-09-19T09:31:15Z","article_number":"19","ec_funded":1,"publist_id":"7767","file_date_updated":"2020-07-14T12:45:01Z"},{"date_published":"2018-04-01T00:00:00Z","page":"1167 - 1214","publication":"Annales Henri Poincare","citation":{"ama":"Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 2018;19(4):1167-1214. doi:10.1007/s00023-018-0644-z","ista":"Benedikter NP, Sok J, Solovej J. 2018. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 19(4), 1167–1214.","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri Poincare, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.","apa":"Benedikter, N. P., Sok, J., & Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-018-0644-z","mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.","chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare. Birkhäuser, 2018. https://doi.org/10.1007/s00023-018-0644-z."},"day":"01","article_processing_charge":"No","has_accepted_license":"1","scopus_import":"1","file":[{"access_level":"open_access","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","creator":"system","content_type":"application/pdf","file_size":923252,"file_id":"4914","relation":"main_file","checksum":"883eeccba8384ad7fcaa28761d99a0fa","date_created":"2018-12-12T10:11:57Z","date_updated":"2020-07-14T12:46:31Z"}],"oa_version":"Published Version","pubrep_id":"993","title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations","ddc":["510","539"],"status":"public","intvolume":" 19","_id":"455","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","abstract":[{"text":"The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities","lang":"eng"}],"issue":"4","alternative_title":["Annales Henri Poincare"],"type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1007/s00023-018-0644-z","quality_controlled":"1","isi":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":["000427578900006"]},"month":"04","date_created":"2018-12-11T11:46:34Z","date_updated":"2023-09-19T10:07:41Z","volume":19,"author":[{"full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","first_name":"Niels P"},{"last_name":"Sok","first_name":"Jérémy","full_name":"Sok, Jérémy"},{"full_name":"Solovej, Jan","last_name":"Solovej","first_name":"Jan"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Birkhäuser","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The authors acknowledge support by ERC Advanced Grant 321029 and by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes equations.","year":"2018","file_date_updated":"2020-07-14T12:46:31Z","publist_id":"7367"},{"month":"03","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1606.07355","open_access":"1"}],"external_id":{"arxiv":["1606.07355"],"isi":["000422675800004"]},"quality_controlled":"1","isi":1,"doi":"10.1002/cpa.21717","language":[{"iso":"eng"}],"publist_id":"7377","year":"2018","acknowledgement":"We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).\r\n","publication_status":"published","publisher":"Wiley-Blackwell","department":[{"_id":"RoSe"}],"author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Nam","last_name":"Phan Thanh","full_name":"Phan Thanh, Nam"},{"last_name":"Van Den Bosch","first_name":"Hanne","full_name":"Van Den Bosch, Hanne"}],"date_created":"2018-12-11T11:46:31Z","date_updated":"2023-09-19T10:09:40Z","volume":71,"day":"01","article_processing_charge":"No","publication":"Communications on Pure and Applied Mathematics","citation":{"chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717.","apa":"Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.","ista":"Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614.","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614. doi:10.1002/cpa.21717"},"article_type":"original","page":"577 - 614","date_published":"2018-03-01T00:00:00Z","type":"journal_article","abstract":[{"text":"We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.","lang":"eng"}],"issue":"3","_id":"446","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","status":"public","intvolume":" 71","oa_version":"Preprint"},{"quality_controlled":"1","isi":1,"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"external_id":{"isi":["000452992700008"],"arxiv":["1809.01204"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01204"}],"language":[{"iso":"eng"}],"doi":"10.1103/physrevb.98.224506","month":"12","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"publication_status":"published","publisher":"American Physical Society","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"year":"2018","date_updated":"2023-09-19T14:29:03Z","date_created":"2019-02-14T10:37:09Z","volume":98,"author":[{"first_name":"Enderalp","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp"},{"id":"456187FC-F248-11E8-B48F-1D18A9856A87","first_name":"Bikashkali","last_name":"Midya","full_name":"Midya, Bikashkali"},{"last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas"},{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail"}],"article_number":"224506","ec_funded":1,"publication":"Physical Review B","citation":{"ama":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 2018;98(22). doi:10.1103/physrevb.98.224506","ista":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22), 224506.","apa":"Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., & Lemeshko, M. (2018). Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.98.224506","ieee":"E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” Physical Review B, vol. 98, no. 22. American Physical Society, 2018.","mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:10.1103/physrevb.98.224506.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","chicago":"Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/physrevb.98.224506."},"date_published":"2018-12-12T00:00:00Z","scopus_import":"1","day":"12","article_processing_charge":"No","status":"public","title":"Theory of the rotating polaron: Spectrum and self-localization","intvolume":" 98","_id":"5983","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","text":"We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a “rotating polaron,” which can be used to model, e.g., a rotating molecule immersed in an ultracold Bose gas or superfluid helium. We derive the Hamiltonian of the rotating polaron and study its spectrum in the weak- and strong-coupling regimes using a combination of variational, diagrammatic, and mean-field approaches. We reveal how the coupling between linear and angular momenta affects stable quasiparticle states, and demonstrate that internal rotation leads to an enhanced self-localization in the translational degrees of freedom."}],"issue":"22"},{"oa_version":"Preprint","intvolume":" 229","status":"public","title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"6002","issue":"3","abstract":[{"text":"The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove the existence of a phase transition in this model and provide its phase diagram.","lang":"eng"}],"type":"journal_article","date_published":"2018-09-01T00:00:00Z","page":"1037-1090","citation":{"apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6","ieee":"M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” Archive for Rational Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.","ista":"Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 229(3), 1037–1090.","ama":"Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.","short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090.","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6."},"publication":"Archive for Rational Mechanics and Analysis","article_processing_charge":"No","day":"01","scopus_import":"1","volume":229,"date_created":"2019-02-14T13:40:53Z","date_updated":"2023-09-19T14:33:12Z","author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"},{"full_name":"Reuvers, Robin","last_name":"Reuvers","first_name":"Robin"},{"last_name":"Solovej","first_name":"Jan Philip","full_name":"Solovej, Jan Philip"}],"department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","year":"2018","language":[{"iso":"eng"}],"doi":"10.1007/s00205-018-1232-6","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"quality_controlled":"1","isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/1511.05935","open_access":"1"}],"oa":1,"external_id":{"arxiv":["1511.05935"],"isi":["000435367300003"]},"publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"month":"09"},{"date_created":"2018-12-11T11:44:22Z","date_updated":"2023-09-27T12:34:14Z","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"5856"},{"id":"154","status":"public","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"1198"},{"id":"741","relation":"part_of_dissertation","status":"public"}]},"author":[{"last_name":"Moser","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas"}],"department":[{"_id":"RoSe"}],"publisher":"Institute of Science and Technology Austria","publication_status":"published","year":"2018","publist_id":"8002","file_date_updated":"2020-07-14T12:46:37Z","language":[{"iso":"eng"}],"degree_awarded":"PhD","supervisor":[{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"doi":"10.15479/AT:ISTA:th_1043","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"oa":1,"publication_identifier":{"issn":["2663-337X"]},"month":"09","oa_version":"Published Version","file":[{"file_id":"6256","relation":"main_file","date_updated":"2020-07-14T12:46:37Z","date_created":"2019-04-09T07:45:38Z","checksum":"fbd8c747d148b468a21213b7cf175225","file_name":"2018_Thesis_Moser.pdf","access_level":"open_access","creator":"dernst","file_size":851164,"content_type":"application/pdf"},{"access_level":"closed","file_name":"2018_Thesis_Moser_Source.zip","creator":"dernst","content_type":"application/zip","file_size":1531516,"file_id":"6257","relation":"source_file","checksum":"c28e16ecfc1126d3ce324ec96493c01e","date_updated":"2020-07-14T12:46:37Z","date_created":"2019-04-09T07:45:38Z"}],"pubrep_id":"1043","ddc":["515","530","519"],"status":"public","title":"Point interactions in systems of fermions","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"52","abstract":[{"lang":"eng","text":"In this thesis we will discuss systems of point interacting fermions, their stability and other spectral properties. Whereas for bosons a point interacting system is always unstable this ques- tion is more subtle for a gas of two species of fermions. In particular the answer depends on the mass ratio between these two species. Most of this work will be focused on the N + M model which consists of two species of fermions with N, M particles respectively which interact via point interactions. We will introduce this model using a formal limit and discuss the N + 1 system in more detail. In particular, we will show that for mass ratios above a critical one, which does not depend on the particle number, the N + 1 system is stable. In the context of this model we will prove rigorous versions of Tan relations which relate various quantities of the point-interacting model. By restricting the N + 1 system to a box we define a finite density model with point in- teractions. In the context of this system we will discuss the energy change when introducing a point-interacting impurity into a system of non-interacting fermions. We will see that this change in energy is bounded independently of the particle number and in particular the bound only depends on the density and the scattering length. As another special case of the N + M model we will show stability of the 2 + 2 model for mass ratios in an interval around one. Further we will investigate a different model of point interactions which was discussed before in the literature and which is, contrary to the N + M model, not given by a limiting procedure but is based on a Dirichlet form. We will show that this system behaves trivially in the thermodynamic limit, i.e. the free energy per particle is the same as the one of the non-interacting system."}],"alternative_title":["ISTA Thesis"],"type":"dissertation","date_published":"2018-09-04T00:00:00Z","page":"115","citation":{"mla":"Moser, Thomas. Point Interactions in Systems of Fermions. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043.","short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria.","apa":"Moser, T. (2018). Point interactions in systems of fermions. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_1043","ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018."},"has_accepted_license":"1","article_processing_charge":"No","day":"04"},{"scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"01","citation":{"apa":"Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.64","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5. Ecole Polytechnique, pp. 79–116, 2018.","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64.","short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64."},"publication":"Journal de l'Ecole Polytechnique - Mathematiques","page":"79 - 116","article_type":"original","date_published":"2018-07-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density."}],"_id":"180","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 5","status":"public","title":"Statistical mechanics of the uniform electron gas","ddc":["510"],"file":[{"date_updated":"2020-07-14T12:45:16Z","date_created":"2018-12-17T16:38:18Z","checksum":"1ba7cccdf3900f42c4f715ae75d6813c","relation":"main_file","file_id":"5726","file_size":843938,"content_type":"application/pdf","creator":"dernst","file_name":"2018_JournaldeLecoleMath_Lewi.pdf","access_level":"open_access"}],"oa_version":"Published Version","publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"month":"07","tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"oa":1,"external_id":{"arxiv":["1705.10676"]},"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","doi":"10.5802/jep.64","language":[{"iso":"eng"}],"publist_id":"7741","ec_funded":1,"file_date_updated":"2020-07-14T12:45:16Z","license":"https://creativecommons.org/licenses/by-nd/4.0/","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged.","year":"2018","department":[{"_id":"RoSe"}],"publisher":"Ecole Polytechnique","publication_status":"published","author":[{"full_name":"Lewi, Mathieu","first_name":"Mathieu","last_name":"Lewi"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"volume":5,"date_created":"2018-12-11T11:45:03Z","date_updated":"2023-10-17T08:05:28Z"},{"ec_funded":1,"publist_id":"7336","author":[{"full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","first_name":"Phan"},{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2021-01-12T08:00:58Z","date_created":"2018-12-11T11:46:43Z","volume":21,"year":"2017","publication_status":"published","publisher":"International Press","department":[{"_id":"RoSe"}],"month":"01","publication_identifier":{"issn":["10950761"]},"doi":"10.4310/ATMP.2017.v21.n3.a4","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1509.04631","open_access":"1"}],"quality_controlled":"1","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"abstract":[{"text":"We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory.","lang":"eng"}],"issue":"3","type":"journal_article","oa_version":"Submitted Version","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","_id":"484","title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","status":"public","intvolume":" 21","day":"01","scopus_import":1,"date_published":"2017-01-01T00:00:00Z","publication":"Advances in Theoretical and Mathematical Physics","citation":{"ista":"Nam P, Napiórkowski MM. 2017. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 21(3), 683–738.","apa":"Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.2017.v21.n3.a4","ieee":"P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3. International Press, pp. 683–738, 2017.","ama":"Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 2017;21(3):683-738. doi:10.4310/ATMP.2017.v21.n3.a4","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4.","mla":"Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738."},"page":"683 - 738"}]