[{"publication":"Archive for Rational Mechanics and Analysis","title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"01","doi":"10.1007/s00205-018-1232-6","department":[{"_id":"RoSe"}],"volume":229,"scopus_import":"1","quality_controlled":"1","type":"journal_article","main_file_link":[{"url":"https://arxiv.org/abs/1511.05935","open_access":"1"}],"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"}],"month":"09","oa_version":"Preprint","publisher":"Springer Nature","author":[{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Reuvers, Robin","first_name":"Robin","last_name":"Reuvers"},{"last_name":"Solovej","first_name":"Jan Philip","full_name":"Solovej, Jan Philip"}],"year":"2018","isi":1,"date_published":"2018-09-01T00:00:00Z","_id":"6002","citation":{"apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-018-1232-6\">https://doi.org/10.1007/s00205-018-1232-6</a>","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2018. <a href=\"https://doi.org/10.1007/s00205-018-1232-6\">https://doi.org/10.1007/s00205-018-1232-6</a>.","ama":"Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. <i>Archive for Rational Mechanics and Analysis</i>. 2018;229(3):1037-1090. doi:<a href=\"https://doi.org/10.1007/s00205-018-1232-6\">10.1007/s00205-018-1232-6</a>","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:<a href=\"https://doi.org/10.1007/s00205-018-1232-6\">10.1007/s00205-018-1232-6</a>.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” <i>Archive for Rational Mechanics and Analysis</i>, 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.","short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090."},"article_processing_charge":"No","date_created":"2019-02-14T13:40:53Z","date_updated":"2025-04-15T08:26:15Z","oa":1,"arxiv":1,"intvolume":"       229","project":[{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"page":"1037-1090","status":"public","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"language":[{"iso":"eng"}],"issue":"3","external_id":{"isi":["000435367300003"],"arxiv":["1511.05935"]}},{"article_processing_charge":"No","citation":{"ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. <i>EPL</i>. 2018;121(1). doi:<a href=\"https://doi.org/10.1209/0295-5075/121/10007\">10.1209/0295-5075/121/10007</a>","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” <i>EPL</i>, vol. 121, no. 1. IOP Publishing, 2018.","mla":"Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” <i>EPL</i>, vol. 121, no. 1, 10007, IOP Publishing, 2018, doi:<a href=\"https://doi.org/10.1209/0295-5075/121/10007\">10.1209/0295-5075/121/10007</a>.","apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. <i>EPL</i>. IOP Publishing. <a href=\"https://doi.org/10.1209/0295-5075/121/10007\">https://doi.org/10.1209/0295-5075/121/10007</a>","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” <i>EPL</i>. IOP Publishing, 2018. <a href=\"https://doi.org/10.1209/0295-5075/121/10007\">https://doi.org/10.1209/0295-5075/121/10007</a>.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007."},"_id":"399","date_published":"2018-01-01T00:00:00Z","oa":1,"publist_id":"7432","date_created":"2018-12-11T11:46:15Z","date_updated":"2025-04-15T08:26:14Z","author":[{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Reuvers, Robin","first_name":"Robin","last_name":"Reuvers"},{"full_name":"Solovej, Jan","last_name":"Solovej","first_name":"Jan"}],"month":"01","oa_version":"Preprint","publisher":"IOP Publishing","year":"2018","isi":1,"article_type":"original","language":[{"iso":"eng"}],"status":"public","external_id":{"arxiv":["1706.01822"],"isi":["000460003000003"]},"issue":"1","intvolume":"       121","arxiv":1,"article_number":"10007","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"doi":"10.1209/0295-5075/121/10007","department":[{"_id":"RoSe"}],"title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","publication":"EPL","acknowledgement":"We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","abstract":[{"text":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1706.01822","open_access":"1"}],"type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":121},{"quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":19,"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"}],"has_accepted_license":"1","corr_author":"1","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","publication":"Annales Henri Poincare","title":"Persistence of translational symmetry in the BCS model with radial pair interaction","ddc":["510"],"department":[{"_id":"RoSe"}],"license":"https://creativecommons.org/licenses/by/4.0/","file":[{"creator":"system","access_level":"open_access","date_updated":"2020-07-14T12:46:22Z","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","content_type":"application/pdf","date_created":"2018-12-12T10:12:47Z","file_size":582680,"relation":"main_file","file_id":"4966"}],"ec_funded":1,"doi":"10.1007/s00023-018-0665-7","pubrep_id":"1011","file_date_updated":"2020-07-14T12:46:22Z","page":"1507 - 1527","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"intvolume":"        19","external_id":{"isi":["000429799900008"]},"issue":"5","language":[{"iso":"eng"}],"status":"public","year":"2018","isi":1,"author":[{"orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Geisinge, Alissa","first_name":"Alissa","last_name":"Geisinge"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"last_name":"Loss","first_name":"Michael","full_name":"Loss, Michael"}],"publisher":"Springer","oa_version":"Published Version","month":"05","oa":1,"publist_id":"7429","date_updated":"2025-04-14T07:26:53Z","date_created":"2018-12-11T11:46:15Z","article_processing_charge":"Yes (via OA deal)","citation":{"chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” <i>Annales Henri Poincare</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s00023-018-0665-7\">https://doi.org/10.1007/s00023-018-0665-7</a>.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., &#38; Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. <i>Annales Henri Poincare</i>. Springer. <a href=\"https://doi.org/10.1007/s00023-018-0665-7\">https://doi.org/10.1007/s00023-018-0665-7</a>","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” <i>Annales Henri Poincare</i>, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” <i>Annales Henri Poincare</i>, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:<a href=\"https://doi.org/10.1007/s00023-018-0665-7\">10.1007/s00023-018-0665-7</a>.","ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. <i>Annales Henri Poincare</i>. 2018;19(5):1507-1527. doi:<a href=\"https://doi.org/10.1007/s00023-018-0665-7\">10.1007/s00023-018-0665-7</a>","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.","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527."},"_id":"400","date_published":"2018-05-01T00:00:00Z"},{"isi":1,"year":"2018","article_type":"original","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Nam","last_name":"Phan Thanh","full_name":"Phan Thanh, Nam"},{"first_name":"Hanne","last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne"}],"oa_version":"Preprint","publisher":"Wiley-Blackwell","month":"03","oa":1,"date_created":"2018-12-11T11:46:31Z","date_updated":"2023-09-19T10:09:40Z","publist_id":"7377","article_processing_charge":"No","citation":{"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.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","apa":"Frank, R., Nam, P., &#38; Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. <i>Communications on Pure and Applied Mathematics</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1002/cpa.21717\">https://doi.org/10.1002/cpa.21717</a>","chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” <i>Communications on Pure and Applied Mathematics</i>. Wiley-Blackwell, 2018. <a href=\"https://doi.org/10.1002/cpa.21717\">https://doi.org/10.1002/cpa.21717</a>.","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. <i>Communications on Pure and Applied Mathematics</i>. 2018;71(3):577-614. doi:<a href=\"https://doi.org/10.1002/cpa.21717\">10.1002/cpa.21717</a>","mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” <i>Communications on Pure and Applied Mathematics</i>, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:<a href=\"https://doi.org/10.1002/cpa.21717\">10.1002/cpa.21717</a>.","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” <i>Communications on Pure and Applied Mathematics</i>, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018."},"_id":"446","date_published":"2018-03-01T00:00:00Z","page":"577 - 614","intvolume":"        71","arxiv":1,"external_id":{"arxiv":["1606.07355"],"isi":["000422675800004"]},"issue":"3","language":[{"iso":"eng"}],"status":"public","day":"01","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","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","publication":"Communications on Pure and Applied Mathematics","department":[{"_id":"RoSe"}],"doi":"10.1002/cpa.21717","quality_controlled":"1","type":"journal_article","volume":71,"abstract":[{"text":"We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z &gt; 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"}],"main_file_link":[{"url":"https://arxiv.org/abs/1606.07355","open_access":"1"}]},{"issue":"4","external_id":{"isi":["000427578900006"]},"status":"public","language":[{"iso":"eng"}],"alternative_title":["Annales Henri Poincare"],"page":"1167 - 1214","intvolume":"        19","publist_id":"7367","date_created":"2018-12-11T11:46:34Z","date_updated":"2024-10-09T20:58:43Z","oa":1,"article_processing_charge":"No","citation":{"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.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.","apa":"Benedikter, N. P., Sok, J., &#38; Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. <i>Annales Henri Poincare</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00023-018-0644-z\">https://doi.org/10.1007/s00023-018-0644-z</a>","chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” <i>Annales Henri Poincare</i>. Birkhäuser, 2018. <a href=\"https://doi.org/10.1007/s00023-018-0644-z\">https://doi.org/10.1007/s00023-018-0644-z</a>.","ama":"Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. <i>Annales Henri Poincare</i>. 2018;19(4):1167-1214. doi:<a href=\"https://doi.org/10.1007/s00023-018-0644-z\">10.1007/s00023-018-0644-z</a>","mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” <i>Annales Henri Poincare</i>, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:<a href=\"https://doi.org/10.1007/s00023-018-0644-z\">10.1007/s00023-018-0644-z</a>.","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” <i>Annales Henri Poincare</i>, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018."},"date_published":"2018-04-01T00:00:00Z","_id":"455","year":"2018","isi":1,"author":[{"last_name":"Benedikter","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P"},{"full_name":"Sok, Jérémy","first_name":"Jérémy","last_name":"Sok"},{"full_name":"Solovej, Jan","last_name":"Solovej","first_name":"Jan"}],"publisher":"Birkhäuser","oa_version":"Published Version","month":"04","has_accepted_license":"1","corr_author":"1","abstract":[{"lang":"eng","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"}],"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":19,"department":[{"_id":"RoSe"}],"file":[{"access_level":"open_access","content_type":"application/pdf","date_created":"2018-12-12T10:11:57Z","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","date_updated":"2020-07-14T12:46:31Z","checksum":"883eeccba8384ad7fcaa28761d99a0fa","creator":"system","relation":"main_file","file_id":"4914","file_size":923252}],"pubrep_id":"993","doi":"10.1007/s00023-018-0644-z","file_date_updated":"2020-07-14T12:46:31Z","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.","day":"01","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["510","539"],"publication":"Annales Henri Poincare","title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations"},{"alternative_title":["ISTA Thesis"],"project":[{"call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"page":"115","related_material":{"record":[{"id":"5856","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"741","relation":"part_of_dissertation"},{"id":"1198","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","id":"154","status":"public"}]},"publication_identifier":{"issn":["2663-337X"]},"status":"public","language":[{"iso":"eng"}],"year":"2018","author":[{"full_name":"Moser, Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas"}],"oa_version":"Published Version","month":"09","publisher":"Institute of Science and Technology Austria","date_created":"2018-12-11T11:44:22Z","date_updated":"2026-04-16T12:20:40Z","publist_id":"8002","oa":1,"supervisor":[{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"citation":{"chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. <a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">https://doi.org/10.15479/AT:ISTA:th_1043</a>.","apa":"Moser, T. (2018). <i>Point interactions in systems of fermions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">https://doi.org/10.15479/AT:ISTA:th_1043</a>","ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018.","mla":"Moser, Thomas. <i>Point Interactions in Systems of Fermions</i>. Institute of Science and Technology Austria, 2018, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">10.15479/AT:ISTA:th_1043</a>.","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">10.15479/AT:ISTA:th_1043</a>","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria.","short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018."},"article_processing_charge":"No","date_published":"2018-09-04T00:00:00Z","_id":"52","type":"dissertation","degree_awarded":"PhD","has_accepted_license":"1","corr_author":"1","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."}],"day":"04","publication_status":"published","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","title":"Point interactions in systems of fermions","ddc":["515","530","519"],"department":[{"_id":"RoSe"}],"OA_place":"publisher","file":[{"file_name":"2018_Thesis_Moser.pdf","date_created":"2019-04-09T07:45:38Z","content_type":"application/pdf","date_updated":"2020-07-14T12:46:37Z","checksum":"fbd8c747d148b468a21213b7cf175225","access_level":"open_access","creator":"dernst","file_id":"6256","relation":"main_file","file_size":851164},{"creator":"dernst","content_type":"application/zip","file_name":"2018_Thesis_Moser_Source.zip","checksum":"c28e16ecfc1126d3ce324ec96493c01e","date_created":"2019-04-09T07:45:38Z","date_updated":"2020-07-14T12:46:37Z","access_level":"closed","file_size":1531516,"file_id":"6257","relation":"source_file"}],"pubrep_id":"1043","doi":"10.15479/AT:ISTA:th_1043","file_date_updated":"2020-07-14T12:46:37Z"},{"oa":1,"publist_id":"7767","date_updated":"2026-04-08T14:12:30Z","date_created":"2018-12-11T11:44:55Z","citation":{"ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. 2018;21(3). doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3, 19, Springer, 2018, doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>.","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3. Springer, 2018.","apa":"Moser, T., &#38; Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (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."},"article_processing_charge":"No","_id":"154","date_published":"2018-09-01T00:00:00Z","year":"2018","isi":1,"article_type":"original","author":[{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","full_name":"Moser, Thomas"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publisher":"Springer","month":"09","oa_version":"Published Version","external_id":{"isi":["000439639700001"]},"issue":"3","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund"}],"intvolume":"        21","article_number":"19","department":[{"_id":"RoSe"}],"ec_funded":1,"file":[{"date_created":"2018-12-17T16:49:02Z","file_name":"2018_MathPhysics_Moser.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:45:01Z","checksum":"411c4db5700d7297c9cd8ebc5dd29091","access_level":"open_access","creator":"dernst","file_id":"5729","relation":"main_file","file_size":496973}],"doi":"10.1007/s11040-018-9275-3","file_date_updated":"2020-07-14T12:45:01Z","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","publication":"Mathematical Physics Analysis and Geometry","title":"Stability of the 2+2 fermionic system with point interactions","ddc":["530"],"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"}],"has_accepted_license":"1","type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":21},{"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":20,"abstract":[{"text":"We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1603.07368"}],"day":"01","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Mathematical Physics, Analysis and Geometry","title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","department":[{"_id":"RoSe"}],"doi":"10.1007/s11040-017-9238-0","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"intvolume":"        20","arxiv":1,"article_number":"6","issue":"2","external_id":{"isi":["000401270000004"],"arxiv":["1603.07368"]},"status":"public","publication_identifier":{"issn":["1385-0172"]},"language":[{"iso":"eng"}],"year":"2017","isi":1,"author":[{"full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam"},{"full_name":"Van Den Bosch, Hanne","first_name":"Hanne","last_name":"Van Den Bosch"}],"oa_version":"Submitted Version","publisher":"Springer","month":"06","date_created":"2018-12-11T11:50:02Z","publist_id":"6300","date_updated":"2025-06-04T08:11:50Z","oa":1,"article_processing_charge":"No","citation":{"short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017).","ista":"Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 20(2), 6.","ama":"Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. 2017;20(2). doi:<a href=\"https://doi.org/10.1007/s11040-017-9238-0\">10.1007/s11040-017-9238-0</a>","mla":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2, 6, Springer, 2017, doi:<a href=\"https://doi.org/10.1007/s11040-017-9238-0\">10.1007/s11040-017-9238-0</a>.","ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2. Springer, 2017.","apa":"Nam, P., &#38; Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>."},"date_published":"2017-06-01T00:00:00Z","_id":"1079"},{"citation":{"ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. <i> Journal of Mathematical Physics</i>. 2017;58(8). doi:<a href=\"https://doi.org/10.1063/1.4996580\">10.1063/1.4996580</a>","mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” <i> Journal of Mathematical Physics</i>, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:<a href=\"https://doi.org/10.1063/1.4996580\">10.1063/1.4996580</a>.","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” <i> Journal of Mathematical Physics</i>, vol. 58, no. 8. AIP Publishing, 2017.","apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. <i> Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.4996580\">https://doi.org/10.1063/1.4996580</a>","chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” <i> Journal of Mathematical Physics</i>. AIP Publishing, 2017. <a href=\"https://doi.org/10.1063/1.4996580\">https://doi.org/10.1063/1.4996580</a>.","short":"A. Deuchert,  Journal of Mathematical Physics 58 (2017).","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity.  Journal of Mathematical Physics. 58(8), 081901."},"article_processing_charge":"No","date_published":"2017-08-01T00:00:00Z","_id":"912","date_updated":"2025-06-04T08:19:58Z","publist_id":"6531","date_created":"2018-12-11T11:49:10Z","oa":1,"author":[{"last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"}],"month":"08","publisher":"AIP Publishing","oa_version":"Submitted Version","year":"2017","isi":1,"status":"public","publication_identifier":{"issn":["0022-2488"]},"language":[{"iso":"eng"}],"issue":"8","external_id":{"isi":["000409197200015"],"arxiv":["1703.04616"]},"intvolume":"        58","arxiv":1,"article_number":"081901","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"doi":"10.1063/1.4996580","department":[{"_id":"RoSe"}],"ec_funded":1,"publication":" Journal of Mathematical Physics","title":"A lower bound for the BCS functional with boundary conditions at infinity","day":"01","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","abstract":[{"text":"We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1703.04616","open_access":"1"}],"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":58},{"publisher":"International Press","oa_version":"Submitted Version","month":"01","author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam","full_name":"Nam, Phan"},{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"}],"year":"2017","isi":1,"date_published":"2017-01-01T00:00:00Z","_id":"484","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.","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” <i>Advances in Theoretical and Mathematical Physics</i>. International Press, 2017. <a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">https://doi.org/10.4310/ATMP.2017.v21.n3.a4</a>.","apa":"Nam, P., &#38; Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. <i>Advances in Theoretical and Mathematical Physics</i>. International Press. <a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">https://doi.org/10.4310/ATMP.2017.v21.n3.a4</a>","mla":"Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:<a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">10.4310/ATMP.2017.v21.n3.a4</a>.","ieee":"P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” <i>Advances in Theoretical and Mathematical Physics</i>, 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. <i>Advances in Theoretical and Mathematical Physics</i>. 2017;21(3):683-738. doi:<a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">10.4310/ATMP.2017.v21.n3.a4</a>"},"article_processing_charge":"No","publist_id":"7336","date_updated":"2025-09-18T09:52:14Z","date_created":"2018-12-11T11:46:43Z","oa":1,"arxiv":1,"intvolume":"        21","project":[{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"}],"page":"683 - 738","publication_identifier":{"issn":["1095-0761"]},"status":"public","language":[{"iso":"eng"}],"issue":"3","external_id":{"isi":["000409382300004"],"arxiv":["1509.04631"]},"publication":"Advances in Theoretical and Mathematical Physics","title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","publication_status":"published","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"01","doi":"10.4310/ATMP.2017.v21.n3.a4","ec_funded":1,"department":[{"_id":"RoSe"}],"volume":21,"scopus_import":"1","quality_controlled":"1","type":"journal_article","main_file_link":[{"url":"https://arxiv.org/abs/1509.04631","open_access":"1"}],"abstract":[{"lang":"eng","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 &lt; 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."}]},{"title":"A note on 2D focusing many boson systems","publication":"Proceedings of the American Mathematical Society","day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"published","doi":"10.1090/proc/13468","department":[{"_id":"RoSe"}],"ec_funded":1,"quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":145,"abstract":[{"lang":"eng","text":"We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 &lt; β &lt; (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w &lt; 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 &lt; β &lt; 3/4. "}],"corr_author":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.09045"}],"author":[{"last_name":"Lewin","first_name":"Mathieu","full_name":"Lewin, Mathieu"},{"last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","full_name":"Nam, Phan"},{"full_name":"Rougerie, Nicolas","first_name":"Nicolas","last_name":"Rougerie"}],"month":"01","publisher":"American Mathematical Society","oa_version":"Submitted Version","isi":1,"year":"2017","citation":{"apa":"Lewin, M., Nam, P., &#38; Rougerie, N. (2017). A note on 2D focusing many boson systems. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/13468\">https://doi.org/10.1090/proc/13468</a>","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2017. <a href=\"https://doi.org/10.1090/proc/13468\">https://doi.org/10.1090/proc/13468</a>.","ama":"Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. <i>Proceedings of the American Mathematical Society</i>. 2017;145(6):2441-2454. doi:<a href=\"https://doi.org/10.1090/proc/13468\">10.1090/proc/13468</a>","ieee":"M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” <i>Proceedings of the American Mathematical Society</i>, vol. 145, no. 6. American Mathematical Society, pp. 2441–2454, 2017.","mla":"Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” <i>Proceedings of the American Mathematical Society</i>, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:<a href=\"https://doi.org/10.1090/proc/13468\">10.1090/proc/13468</a>.","ista":"Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 145(6), 2441–2454.","short":"M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454."},"article_processing_charge":"No","_id":"632","date_published":"2017-01-01T00:00:00Z","oa":1,"publist_id":"7160","date_updated":"2025-09-11T07:26:38Z","date_created":"2018-12-11T11:47:36Z","intvolume":"       145","arxiv":1,"page":"2441 - 2454","project":[{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734"}],"language":[{"iso":"eng"}],"status":"public","external_id":{"arxiv":["1509.09045"],"isi":["000398833500014"]},"issue":"6"},{"corr_author":"1","abstract":[{"text":"We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states.","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1604.05240","open_access":"1"}],"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":108,"doi":"10.1016/j.matpur.2017.05.013","department":[{"_id":"RoSe"}],"title":"A note on the validity of Bogoliubov correction to mean field dynamics","publication":"Journal de Mathématiques Pures et Appliquées","day":"01","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["0021-7824"]},"status":"public","language":[{"iso":"eng"}],"issue":"5","external_id":{"arxiv":["1604.05240"],"isi":["000414113600003"]},"intvolume":"       108","arxiv":1,"project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"page":"662 - 688","article_processing_charge":"No","citation":{"chicago":"Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">https://doi.org/10.1016/j.matpur.2017.05.013</a>.","apa":"Nam, P., &#38; Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov correction to mean field dynamics. <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">https://doi.org/10.1016/j.matpur.2017.05.013</a>","mla":"Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:<a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">10.1016/j.matpur.2017.05.013</a>.","ieee":"P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 108, no. 5. Elsevier, pp. 662–688, 2017.","ama":"Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. <i>Journal de Mathématiques Pures et Appliquées</i>. 2017;108(5):662-688. doi:<a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">10.1016/j.matpur.2017.05.013</a>","ista":"Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5), 662–688.","short":"P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688."},"date_published":"2017-11-01T00:00:00Z","_id":"739","date_updated":"2025-06-04T09:41:48Z","date_created":"2018-12-11T11:48:15Z","publist_id":"6928","oa":1,"author":[{"full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam"},{"full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski"}],"oa_version":"Submitted Version","month":"11","publisher":"Elsevier","isi":1,"year":"2017"},{"external_id":{"isi":["000417132100007"],"arxiv":["1705.05162"]},"issue":"23","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["0031-9007"]},"project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment"}],"arxiv":1,"article_number":"235301","intvolume":"       119","oa":1,"publist_id":"6401","date_updated":"2025-04-14T07:26:54Z","date_created":"2018-12-11T11:49:36Z","_id":"997","date_published":"2017-12-06T00:00:00Z","citation":{"apa":"Yakaboylu, E., Deuchert, A., &#38; Lemeshko, M. (2017). Emergence of non-abelian magnetic monopoles in a quantum impurity problem. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">https://doi.org/10.1103/PhysRevLett.119.235301</a>","chicago":"Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” <i>Physical Review Letters</i>. American Physical Society, 2017. <a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">https://doi.org/10.1103/PhysRevLett.119.235301</a>.","ama":"Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. <i>Physical Review Letters</i>. 2017;119(23). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">10.1103/PhysRevLett.119.235301</a>","ieee":"E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” <i>Physical Review Letters</i>, vol. 119, no. 23. American Physical Society, 2017.","mla":"Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” <i>Physical Review Letters</i>, vol. 119, no. 23, 235301, American Physical Society, 2017, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">10.1103/PhysRevLett.119.235301</a>.","ista":"Yakaboylu E, Deuchert A, Lemeshko M. 2017. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 119(23), 235301.","short":"E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017)."},"article_processing_charge":"No","article_type":"original","isi":1,"year":"2017","oa_version":"Preprint","publisher":"American Physical Society","month":"12","author":[{"orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu"},{"orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert"},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05162"}],"abstract":[{"lang":"eng","text":"Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrate that in the experimentally realized regime the angulon can be seen as a point charge on a 2-sphere interacting with a gauge field of a non-abelian magnetic monopole. Unlike in several other settings, the gauge fields of the angulon problem emerge in the real coordinate space, as opposed to the momentum space or some effective parameter space. Furthermore, we find a topological transition associated with making the monopole abelian, which takes place in the vicinity of the previously reported angulon instabilities. These results pave the way for studying topological phenomena in experiments on molecules trapped in superfluid helium nanodroplets, as well as on other realizations of orbital impurity problems."}],"corr_author":"1","volume":119,"type":"journal_article","quality_controlled":"1","scopus_import":"1","ec_funded":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"doi":"10.1103/PhysRevLett.119.235301","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","day":"06","publication":"Physical Review Letters","title":"Emergence of non-abelian magnetic monopoles in a quantum impurity problem"},{"volume":95,"type":"journal_article","quality_controlled":"1","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1610.04908","open_access":"1"}],"abstract":[{"lang":"eng","text":"The existence of a self-localization transition in the polaron problem has been under an active debate ever since Landau suggested it 83 years ago. Here we reveal the self-localization transition for the rotational analogue of the polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of the symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. The predicted effects can potentially be addressed in experiments on cold molecules trapped in superfluid helium droplets and ultracold quantum gases, as well as on electronic excitations in solids and Bose-Einstein condensates. "}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","day":"06","publication":"Physical Review A","title":"Angular self-localization of impurities rotating in a bosonic bath","ec_funded":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"doi":"10.1103/PhysRevA.95.033608","related_material":{"record":[{"relation":"dissertation_contains","id":"8958","status":"public"}]},"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"arxiv":1,"article_number":"033608","intvolume":"        95","external_id":{"arxiv":["1610.04908"],"isi":["000395981900009"]},"issue":"3","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["2469-9926"]},"isi":1,"year":"2017","publisher":"American Physical Society","month":"03","oa_version":"Published Version","author":[{"full_name":"Li, Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang","last_name":"Li"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"},{"first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail"}],"oa":1,"date_updated":"2026-04-08T07:26:09Z","date_created":"2018-12-11T11:50:15Z","publist_id":"6242","_id":"1120","date_published":"2017-03-06T00:00:00Z","citation":{"short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.","ama":"Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. <i>Physical Review A</i>. 2017;95(3). doi:<a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">10.1103/PhysRevA.95.033608</a>","mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” <i>Physical Review A</i>, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:<a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">10.1103/PhysRevA.95.033608</a>.","ieee":"X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” <i>Physical Review A</i>, vol. 95, no. 3. American Physical Society, 2017.","apa":"Li, X., Seiringer, R., &#38; Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">https://doi.org/10.1103/PhysRevA.95.033608</a>","chicago":"Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” <i>Physical Review A</i>. American Physical Society, 2017. <a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">https://doi.org/10.1103/PhysRevA.95.033608</a>."},"article_processing_charge":"No"},{"pubrep_id":"880","doi":"10.1007/s00220-017-2980-0","file_date_updated":"2020-07-14T12:47:57Z","department":[{"_id":"RoSe"}],"file":[{"file_size":952639,"relation":"main_file","file_id":"4841","creator":"system","access_level":"open_access","checksum":"0fd9435400f91e9b3c5346319a2d24e3","date_created":"2018-12-12T10:10:50Z","file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf","date_updated":"2020-07-14T12:47:57Z","content_type":"application/pdf"}],"ec_funded":1,"title":"Stability of a fermionic N+1 particle system with point interactions","ddc":["539"],"publication":"Communications in Mathematical Physics","day":"01","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","has_accepted_license":"1","corr_author":"1","abstract":[{"text":"We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.","lang":"eng"}],"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":356,"citation":{"ama":"Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. <i>Communications in Mathematical Physics</i>. 2017;356(1):329-355. doi:<a href=\"https://doi.org/10.1007/s00220-017-2980-0\">10.1007/s00220-017-2980-0</a>","mla":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” <i>Communications in Mathematical Physics</i>, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:<a href=\"https://doi.org/10.1007/s00220-017-2980-0\">10.1007/s00220-017-2980-0</a>.","ieee":"T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” <i>Communications in Mathematical Physics</i>, vol. 356, no. 1. Springer, pp. 329–355, 2017.","apa":"Moser, T., &#38; Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-017-2980-0\">https://doi.org/10.1007/s00220-017-2980-0</a>","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” <i>Communications in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s00220-017-2980-0\">https://doi.org/10.1007/s00220-017-2980-0</a>.","short":"T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.","ista":"Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355."},"article_processing_charge":"No","date_published":"2017-11-01T00:00:00Z","_id":"741","date_created":"2018-12-11T11:48:15Z","date_updated":"2026-04-08T14:12:30Z","publist_id":"6926","oa":1,"author":[{"full_name":"Moser, Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa_version":"Published Version","month":"11","publisher":"Springer","year":"2017","isi":1,"status":"public","publication_identifier":{"issn":["0010-3616"]},"language":[{"iso":"eng"}],"issue":"1","external_id":{"isi":["000409821300010"]},"intvolume":"       356","project":[{"call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","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"}],"page":"329 - 355","related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]}},{"abstract":[{"lang":"eng","text":"We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles."}],"has_accepted_license":"1","type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":107,"department":[{"_id":"RoSe"}],"file":[{"file_size":587207,"file_id":"5296","relation":"main_file","creator":"system","checksum":"c0c835def162c1bc52f978fad26e3c2f","content_type":"application/pdf","file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","date_created":"2018-12-12T10:17:40Z","date_updated":"2020-07-14T12:44:38Z","access_level":"open_access"}],"doi":"10.1007/s11005-016-0915-x","pubrep_id":"723","file_date_updated":"2020-07-14T12:44:38Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","ddc":["510","539"],"publication":"Letters in Mathematical Physics","title":"Triviality of a model of particles with point interactions in the thermodynamic limit","external_id":{"isi":["000394280200007"]},"issue":"3","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["0377-9017"]},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"page":" 533 - 552","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"intvolume":"       107","oa":1,"date_updated":"2026-04-16T10:06:46Z","publist_id":"6152","date_created":"2018-12-11T11:50:40Z","citation":{"short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.","ista":"Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. 2017;107(3):533-552. doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>","mla":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>.","ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3. Springer, pp. 533–552, 2017.","apa":"Moser, T., &#38; Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>."},"article_processing_charge":"Yes (via OA deal)","_id":"1198","date_published":"2017-03-01T00:00:00Z","isi":1,"year":"2017","author":[{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","full_name":"Moser, Thomas"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"month":"03","publisher":"Springer","oa_version":"Published Version"},{"date_created":"2018-12-11T11:51:56Z","publist_id":"5785","date_updated":"2025-09-18T14:20:53Z","oa":1,"article_processing_charge":"Yes (via OA deal)","citation":{"ista":"Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923.","short":"R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.","apa":"Frank, R., Hainzl, C., Schlein, B., &#38; Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0847-5\">https://doi.org/10.1007/s11005-016-0847-5</a>","chicago":"Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” <i>Letters in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11005-016-0847-5\">https://doi.org/10.1007/s11005-016-0847-5</a>.","ama":"Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. <i>Letters in Mathematical Physics</i>. 2016;106(7):913-923. doi:<a href=\"https://doi.org/10.1007/s11005-016-0847-5\">10.1007/s11005-016-0847-5</a>","mla":"Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” <i>Letters in Mathematical Physics</i>, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:<a href=\"https://doi.org/10.1007/s11005-016-0847-5\">10.1007/s11005-016-0847-5</a>.","ieee":"R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” <i>Letters in Mathematical Physics</i>, vol. 106, no. 7. Springer, pp. 913–923, 2016."},"date_published":"2016-07-01T00:00:00Z","_id":"1422","isi":1,"year":"2016","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"month":"07","publisher":"Springer","oa_version":"Published Version","issue":"7","external_id":{"isi":["000378844700002"]},"status":"public","language":[{"iso":"eng"}],"project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"page":"913 - 923","intvolume":"       106","department":[{"_id":"RoSe"}],"file":[{"relation":"main_file","file_id":"5181","file_size":458968,"access_level":"open_access","checksum":"fb404923d8ca9a1faeb949561f26cbea","file_name":"IST-2016-591-v1+1_s11005-016-0847-5.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-12T10:15:57Z","creator":"system"}],"pubrep_id":"591","doi":"10.1007/s11005-016-0847-5","file_date_updated":"2020-07-14T12:44:53Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","day":"01","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ddc":["510","530"],"publication":"Letters in Mathematical Physics","title":"Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations","has_accepted_license":"1","corr_author":"1","abstract":[{"text":"We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg–Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior.","lang":"eng"}],"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":106},{"volume":691,"scopus_import":"1","type":"conference","quality_controlled":"1","has_accepted_license":"1","abstract":[{"text":"We report on a mathematically rigorous analysis of the superfluid properties of a Bose- Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential.","lang":"eng"}],"publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"07","ddc":["510","530"],"publication":"Journal of Physics: Conference Series","title":"Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential","file":[{"content_type":"application/pdf","checksum":"109db801749072c3f6c8f1a1848700fa","file_name":"IST-2016-585-v1+1_JPCS_691_1_012016.pdf","date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-12T10:10:55Z","access_level":"open_access","creator":"system","file_id":"4847","relation":"main_file","file_size":1434688}],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:53Z","pubrep_id":"585","doi":"10.1088/1742-6596/691/1/012016","project":[{"call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"article_number":"012016","intvolume":"       691","issue":"1","external_id":{"isi":["000402374100016"]},"status":"public","language":[{"iso":"eng"}],"conference":{"start_date":"2015-08-21","end_date":"2015-08-25","name":"24th International Laser Physics Workshop (LPHYS'15)","location":"Shanghai, China"},"year":"2016","isi":1,"month":"03","publisher":"IOP Publishing","oa_version":"Published Version","author":[{"full_name":"Könenberg, Martin","last_name":"Könenberg","first_name":"Martin"},{"full_name":"Moser, Thomas","last_name":"Moser","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"}],"date_created":"2018-12-11T11:51:58Z","publist_id":"5770","date_updated":"2025-09-18T14:04:23Z","oa":1,"date_published":"2016-03-07T00:00:00Z","_id":"1428","article_processing_charge":"No","citation":{"ama":"Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In: <i>Journal of Physics: Conference Series</i>. Vol 691. IOP Publishing; 2016. doi:<a href=\"https://doi.org/10.1088/1742-6596/691/1/012016\">10.1088/1742-6596/691/1/012016</a>","ieee":"M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in <i>Journal of Physics: Conference Series</i>, Shanghai, China, 2016, vol. 691, no. 1.","mla":"Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” <i>Journal of Physics: Conference Series</i>, vol. 691, no. 1, 012016, IOP Publishing, 2016, doi:<a href=\"https://doi.org/10.1088/1742-6596/691/1/012016\">10.1088/1742-6596/691/1/012016</a>.","apa":"Könenberg, M., Moser, T., Seiringer, R., &#38; Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In <i>Journal of Physics: Conference Series</i> (Vol. 691). Shanghai, China: IOP Publishing. <a href=\"https://doi.org/10.1088/1742-6596/691/1/012016\">https://doi.org/10.1088/1742-6596/691/1/012016</a>","chicago":"Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In <i>Journal of Physics: Conference Series</i>, Vol. 691. IOP Publishing, 2016. <a href=\"https://doi.org/10.1088/1742-6596/691/1/012016\">https://doi.org/10.1088/1742-6596/691/1/012016</a>.","short":"M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing, 2016.","ista":"Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016."}},{"intvolume":"       105","page":"1 - 30","project":[{"call_identifier":"FP7","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme"}],"language":[{"iso":"eng"}],"status":"public","external_id":{"isi":["000366773900001"]},"issue":"1","month":"01","oa_version":"Published Version","publisher":"Elsevier","author":[{"full_name":"Bach, Volker","last_name":"Bach","first_name":"Volker"},{"full_name":"Breteaux, Sébastien","last_name":"Breteaux","first_name":"Sébastien"},{"last_name":"Petrat","first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"},{"full_name":"Tzaneteas, Tim","first_name":"Tim","last_name":"Tzaneteas"}],"year":"2016","isi":1,"_id":"1436","date_published":"2016-01-01T00:00:00Z","citation":{"ama":"Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. <i>Journal de Mathématiques Pures et Appliquées</i>. 2016;105(1):1-30. doi:<a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">10.1016/j.matpur.2015.09.003</a>","mla":"Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:<a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">10.1016/j.matpur.2015.09.003</a>.","ieee":"V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction,” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 105, no. 1. Elsevier, pp. 1–30, 2016.","apa":"Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., &#38; Tzaneteas, T. (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">https://doi.org/10.1016/j.matpur.2015.09.003</a>","chicago":"Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier, 2016. <a href=\"https://doi.org/10.1016/j.matpur.2015.09.003\">https://doi.org/10.1016/j.matpur.2015.09.003</a>.","short":"V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.","ista":"Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30."},"article_processing_charge":"No","oa":1,"publist_id":"5763","date_created":"2018-12-11T11:52:00Z","date_updated":"2025-09-18T12:31:28Z","volume":105,"quality_controlled":"1","type":"journal_article","scopus_import":"1","abstract":[{"text":"We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system.","lang":"eng"}],"has_accepted_license":"1","ddc":["510","530"],"publication":"Journal de Mathématiques Pures et Appliquées","title":"Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"published","day":"01","file_date_updated":"2020-07-14T12:44:54Z","doi":"10.1016/j.matpur.2015.09.003","pubrep_id":"581","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","ec_funded":1,"file":[{"file_size":658491,"relation":"main_file","file_id":"4825","creator":"system","access_level":"open_access","checksum":"c5afe1f6935bc7f2b546adbde1d31a35","content_type":"application/pdf","file_name":"IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf","date_updated":"2020-07-14T12:44:54Z","date_created":"2018-12-12T10:10:36Z"}],"department":[{"_id":"RoSe"}]},{"day":"01","acknowledgement":"Partial financial support from the DFG grant GRK 1838, as well as the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged.","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","title":"Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit","ddc":["510","539"],"publication":"Mathematical Physics, Analysis and Geometry","department":[{"_id":"RoSe"}],"file":[{"file_id":"4736","relation":"main_file","file_size":506242,"date_updated":"2020-07-14T12:44:42Z","date_created":"2018-12-12T10:09:13Z","file_name":"IST-2016-702-v1+1_s11040-016-9209-x.pdf","content_type":"application/pdf","checksum":"9954f685cc25c58d7f1712c67b47ad8d","access_level":"open_access","creator":"system"}],"doi":"10.1007/s11040-016-9209-x","pubrep_id":"702","file_date_updated":"2020-07-14T12:44:42Z","quality_controlled":"1","type":"journal_article","scopus_import":"1","volume":19,"abstract":[{"lang":"eng","text":"We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose–Einstein condensate of fermion pairs. The latter can be described by means of the Gross–Pitaevskii energy functional."}],"has_accepted_license":"1","corr_author":"1","isi":1,"year":"2016","author":[{"full_name":"Bräunlich, Gerhard","last_name":"Bräunlich","first_name":"Gerhard"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"oa_version":"Published Version","month":"06","publisher":"Springer","oa":1,"date_updated":"2025-09-22T09:02:01Z","publist_id":"6066","date_created":"2018-12-11T11:50:59Z","citation":{"apa":"Bräunlich, G., Hainzl, C., &#38; Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-016-9209-x\">https://doi.org/10.1007/s11040-016-9209-x</a>","chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11040-016-9209-x\">https://doi.org/10.1007/s11040-016-9209-x</a>.","ama":"Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. <i>Mathematical Physics, Analysis and Geometry</i>. 2016;19(2). doi:<a href=\"https://doi.org/10.1007/s11040-016-9209-x\">10.1007/s11040-016-9209-x</a>","mla":"Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 19, no. 2, 13, Springer, 2016, doi:<a href=\"https://doi.org/10.1007/s11040-016-9209-x\">10.1007/s11040-016-9209-x</a>.","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 19, no. 2. Springer, 2016.","ista":"Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 19(2), 13.","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016)."},"article_processing_charge":"Yes (via OA deal)","_id":"1259","date_published":"2016-06-01T00:00:00Z","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF"}],"intvolume":"        19","article_number":"13","external_id":{"isi":["000377379300001"]},"issue":"2","language":[{"iso":"eng"}],"status":"public"}]