[{"month":"05","article_processing_charge":"No","title":"Sharp interface limit for two components Bose-Einstein condensates","year":"2015","issue":"3","_id":"1807","oa_version":"Preprint","isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"publication_status":"published","author":[{"last_name":"Goldman","full_name":"Goldman, Michael","first_name":"Michael"},{"full_name":"Royo-Letelier, Jimena","id":"4D3BED28-F248-11E8-B48F-1D18A9856A87","first_name":"Jimena","last_name":"Royo-Letelier"}],"arxiv":1,"abstract":[{"text":"We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii energy of two-components Bose-Einstein condensates. In the case of large but same order intercomponent and intracomponent coupling strengths, we prove Γ-convergence to a perimeter minimisation functional with an inhomogeneous surface tension. We study the asymptotic behavior of the surface tension as the ratio between the intercomponent and intracomponent coupling strengths becomes very small or very large and obtain good agreement with the physical literature. We obtain as a consequence, symmetry breaking of the minimisers for the harmonic potential.","lang":"eng"}],"date_published":"2015-05-01T00:00:00Z","scopus_import":"1","status":"public","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1401.1727"}],"publist_id":"5303","publication":"ESAIM - Control, Optimisation and Calculus of Variations","page":"603 - 624","publisher":"EDP Sciences","day":"01","doi":"10.1051/cocv/2014040","type":"journal_article","citation":{"ama":"Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein condensates. <i>ESAIM - Control, Optimisation and Calculus of Variations</i>. 2015;21(3):603-624. doi:<a href=\"https://doi.org/10.1051/cocv/2014040\">10.1051/cocv/2014040</a>","chicago":"Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” <i>ESAIM - Control, Optimisation and Calculus of Variations</i>. EDP Sciences, 2015. <a href=\"https://doi.org/10.1051/cocv/2014040\">https://doi.org/10.1051/cocv/2014040</a>.","short":"M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus of Variations 21 (2015) 603–624.","ieee":"M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components Bose-Einstein condensates,” <i>ESAIM - Control, Optimisation and Calculus of Variations</i>, vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015.","mla":"Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” <i>ESAIM - Control, Optimisation and Calculus of Variations</i>, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:<a href=\"https://doi.org/10.1051/cocv/2014040\">10.1051/cocv/2014040</a>.","apa":"Goldman, M., &#38; Royo-Letelier, J. (2015). Sharp interface limit for two components Bose-Einstein condensates. <i>ESAIM - Control, Optimisation and Calculus of Variations</i>. EDP Sciences. <a href=\"https://doi.org/10.1051/cocv/2014040\">https://doi.org/10.1051/cocv/2014040</a>","ista":"Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. 21(3), 603–624."},"volume":21,"date_created":"2018-12-11T11:54:07Z","department":[{"_id":"RoSe"}],"date_updated":"2025-09-23T10:45:09Z","external_id":{"isi":["000356012000001"],"arxiv":["1401.1727"]},"corr_author":"1","intvolume":"        21","quality_controlled":"1","language":[{"iso":"eng"}]},{"volume":17,"citation":{"ama":"Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein condensate in a random potential. <i>New Journal of Physics</i>. 2015;17. doi:<a href=\"https://doi.org/10.1088/1367-2630/17/1/013022\">10.1088/1367-2630/17/1/013022</a>","chicago":"Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” <i>New Journal of Physics</i>. IOP Publishing, 2015. <a href=\"https://doi.org/10.1088/1367-2630/17/1/013022\">https://doi.org/10.1088/1367-2630/17/1/013022</a>.","short":"M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).","ieee":"M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior of a Bose-Einstein condensate in a random potential,” <i>New Journal of Physics</i>, vol. 17. IOP Publishing, 2015.","apa":"Könenberg, M., Moser, T., Seiringer, R., &#38; Yngvason, J. (2015). Superfluid behavior of a Bose-Einstein condensate in a random potential. <i>New Journal of Physics</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1367-2630/17/1/013022\">https://doi.org/10.1088/1367-2630/17/1/013022</a>","ista":"Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 17, 013022.","mla":"Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” <i>New Journal of Physics</i>, vol. 17, 013022, IOP Publishing, 2015, doi:<a href=\"https://doi.org/10.1088/1367-2630/17/1/013022\">10.1088/1367-2630/17/1/013022</a>."},"type":"journal_article","doi":"10.1088/1367-2630/17/1/013022","day":"15","publisher":"IOP Publishing","pubrep_id":"447","publication":"New Journal of Physics","publist_id":"5214","language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"        17","external_id":{"isi":["000348759300007"]},"has_accepted_license":"1","date_updated":"2025-09-23T10:51:00Z","department":[{"_id":"RoSe"}],"article_number":"013022","file_date_updated":"2020-07-14T12:45:20Z","date_created":"2018-12-11T11:54:30Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"oa_version":"Published Version","_id":"1880","year":"2015","title":"Superfluid behavior of a Bose-Einstein condensate in a random potential","article_processing_charge":"No","month":"01","status":"public","scopus_import":"1","abstract":[{"text":"We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder","lang":"eng"}],"date_published":"2015-01-15T00:00:00Z","ddc":["530"],"acknowledgement":"Support from the Natural Sciences and Engineering Research Council of Canada NSERC (MK and RS) and from the Austrian Science Fund FWF (JY, under project P 22929-N16) is gratefully acknowledged","license":"https://creativecommons.org/licenses/by/4.0/","author":[{"first_name":"Martin","full_name":"Könenberg, Martin","last_name":"Könenberg"},{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas","last_name":"Moser"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"publication_status":"published","project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","isi":1,"file":[{"creator":"system","date_created":"2018-12-12T10:12:44Z","access_level":"open_access","content_type":"application/pdf","relation":"main_file","file_size":768108,"file_id":"4963","checksum":"38fdf2b5ac30445e26a5d613abd84b16","file_name":"IST-2016-447-v1+1_document_1_.pdf","date_updated":"2020-07-14T12:45:20Z"}]},{"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"publication_status":"published","author":[{"full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"arxiv":1,"abstract":[{"text":"We study the spectrum of a large system of N identical bosons interacting via a two-body potential with strength 1/N. In this mean-field regime, Bogoliubov's theory predicts that the spectrum of the N-particle Hamiltonian can be approximated by that of an effective quadratic Hamiltonian acting on Fock space, which describes the fluctuations around a condensed state. Recently, Bogoliubov's theory has been justified rigorously in the case that the low-energy eigenvectors of the N-particle Hamiltonian display complete condensation in the unique minimizer of the corresponding Hartree functional. In this paper, we shall justify Bogoliubov's theory for the high-energy part of the spectrum of the N-particle Hamiltonian corresponding to (non-linear) excited states of the Hartree functional. Moreover, we shall extend the existing results on the excitation spectrum to the case of non-uniqueness and/or degeneracy of the Hartree minimizer. In particular, the latter covers the case of rotating Bose gases, when the rotation speed is large enough to break the symmetry and to produce multiple quantized vortices in the Hartree minimizer. ","lang":"eng"}],"scopus_import":"1","date_published":"2015-02-01T00:00:00Z","status":"public","month":"02","article_processing_charge":"No","title":"Collective excitations of Bose gases in the mean-field regime","_id":"2085","issue":"2","year":"2015","oa_version":"Preprint","date_created":"2018-12-11T11:55:37Z","department":[{"_id":"RoSe"}],"date_updated":"2025-09-23T08:17:14Z","corr_author":"1","external_id":{"isi":["000347150400002"],"arxiv":["1402.1153"]},"language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"       215","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1402.1153"}],"publist_id":"4951","publication":"Archive for Rational Mechanics and Analysis","publisher":"Springer","doi":"10.1007/s00205-014-0781-6","day":"01","page":"381 - 417","type":"journal_article","citation":{"ama":"Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field regime. <i>Archive for Rational Mechanics and Analysis</i>. 2015;215(2):381-417. doi:<a href=\"https://doi.org/10.1007/s00205-014-0781-6\">10.1007/s00205-014-0781-6</a>","chicago":"Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” <i>Archive for Rational Mechanics and Analysis</i>. Springer, 2015. <a href=\"https://doi.org/10.1007/s00205-014-0781-6\">https://doi.org/10.1007/s00205-014-0781-6</a>.","short":"P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.","apa":"Nam, P., &#38; Seiringer, R. (2015). Collective excitations of Bose gases in the mean-field regime. <i>Archive for Rational Mechanics and Analysis</i>. Springer. <a href=\"https://doi.org/10.1007/s00205-014-0781-6\">https://doi.org/10.1007/s00205-014-0781-6</a>","mla":"Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:<a href=\"https://doi.org/10.1007/s00205-014-0781-6\">10.1007/s00205-014-0781-6</a>.","ista":"Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.","ieee":"P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field regime,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 215, no. 2. Springer, pp. 381–417, 2015."},"volume":215},{"date_created":"2018-12-11T11:52:47Z","department":[{"_id":"RoSe"}],"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"       339","date_updated":"2025-09-29T11:04:37Z","external_id":{"isi":["000357582800010"],"arxiv":["1312.7873"]},"publication":"Communications in Mathematical Physics","main_file_link":[{"url":"http://arxiv.org/abs/1312.7873","open_access":"1"}],"publist_id":"5599","citation":{"chicago":"Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” <i>Communications in Mathematical Physics</i>. Springer, 2015. <a href=\"https://doi.org/10.1007/s00220-015-2402-0\">https://doi.org/10.1007/s00220-015-2402-0</a>.","ama":"Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. <i>Communications in Mathematical Physics</i>. 2015;339(1):279-307. doi:<a href=\"https://doi.org/10.1007/s00220-015-2402-0\">10.1007/s00220-015-2402-0</a>","ista":"Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 339(1), 279–307.","mla":"Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” <i>Communications in Mathematical Physics</i>, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:<a href=\"https://doi.org/10.1007/s00220-015-2402-0\">10.1007/s00220-015-2402-0</a>.","apa":"Correggi, M., Giuliani, A., &#38; Seiringer, R. (2015). Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-015-2402-0\">https://doi.org/10.1007/s00220-015-2402-0</a>","ieee":"M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” <i>Communications in Mathematical Physics</i>, vol. 339, no. 1. Springer, pp. 279–307, 2015.","short":"M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307."},"volume":339,"publisher":"Springer","day":"23","doi":"10.1007/s00220-015-2402-0","page":"279 - 307","type":"journal_article","publication_status":"published","author":[{"last_name":"Correggi","first_name":"Michele","full_name":"Correggi, Michele"},{"last_name":"Giuliani","full_name":"Giuliani, Alessandro","first_name":"Alessandro"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert"}],"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"scopus_import":"1","abstract":[{"lang":"eng","text":"We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. Our proof comes with explicit, constructive upper and lower bounds on the error term. It uses in an essential way the bosonic formulation of the model in terms of the Holstein-Primakoff representation. In this language, the model describes interacting bosons with a hard-core on-site repulsion and a nearest-neighbor attraction. This attractive interaction makes the lower bound on the free energy particularly tricky: the key idea there is to prove a differential inequality for the two-particle density, which is thereby shown to be smaller than the probability density of a suitably weighted two-particle random process on the lattice.\r\n"}],"date_published":"2015-06-23T00:00:00Z","status":"public","arxiv":1,"article_processing_charge":"No","month":"06","_id":"1572","issue":"1","year":"2015","oa_version":"Preprint","title":"Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet"},{"oa":1,"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Thomas","full_name":"Chen, Thomas","last_name":"Chen"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"last_name":"Pavlović","first_name":"Nataša","full_name":"Pavlović, Nataša"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publication_status":"published","project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"arxiv":1,"status":"public","abstract":[{"text":"We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent to the one established in the celebrated works of Erdos, Schlein, and Yau.","lang":"eng"}],"scopus_import":"1","date_published":"2015-10-01T00:00:00Z","month":"10","article_processing_charge":"No","title":"Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti","oa_version":"Preprint","_id":"1573","issue":"10","year":"2015","department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:52:48Z","external_id":{"isi":["000359670800004"],"arxiv":["1307.3168"]},"date_updated":"2025-09-29T10:59:59Z","quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"        68","publist_id":"5598","main_file_link":[{"url":"http://arxiv.org/abs/1307.3168","open_access":"1"}],"publication":"Communications on Pure and Applied Mathematics","type":"journal_article","day":"01","doi":"10.1002/cpa.21552","publisher":"Wiley","page":"1845 - 1884","volume":68,"citation":{"short":"T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.","ieee":"T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” <i>Communications on Pure and Applied Mathematics</i>, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.","apa":"Chen, T., Hainzl, C., Pavlović, N., &#38; Seiringer, R. (2015). Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21552\">https://doi.org/10.1002/cpa.21552</a>","ista":"Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 68(10), 1845–1884.","mla":"Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” <i>Communications on Pure and Applied Mathematics</i>, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:<a href=\"https://doi.org/10.1002/cpa.21552\">10.1002/cpa.21552</a>.","ama":"Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. <i>Communications on Pure and Applied Mathematics</i>. 2015;68(10):1845-1884. doi:<a href=\"https://doi.org/10.1002/cpa.21552\">10.1002/cpa.21552</a>","chicago":"Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2015. <a href=\"https://doi.org/10.1002/cpa.21552\">https://doi.org/10.1002/cpa.21552</a>."}},{"tmp":{"short":"CC BY-NC (4.0)","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode"},"department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:53:34Z","file_date_updated":"2020-07-14T12:45:13Z","external_id":{"arxiv":["1502.07205"],"isi":["000361007600006"]},"corr_author":"1","date_updated":"2025-09-23T09:41:03Z","has_accepted_license":"1","intvolume":"       105","quality_controlled":"1","language":[{"iso":"eng"}],"publist_id":"5432","publication":"Letters in Mathematical Physics","type":"journal_article","page":"1449 - 1466","publisher":"Springer","day":"05","doi":"10.1007/s11005-015-0787-5","volume":105,"citation":{"ieee":"A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” <i>Letters in Mathematical Physics</i>, vol. 105, no. 10. Springer, pp. 1449–1466, 2015.","ista":"Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.","apa":"Deuchert, A., Hainzl, C., &#38; Seiringer, R. (2015). Note on a family of monotone quantum relative entropies. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-015-0787-5\">https://doi.org/10.1007/s11005-015-0787-5</a>","mla":"Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” <i>Letters in Mathematical Physics</i>, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:<a href=\"https://doi.org/10.1007/s11005-015-0787-5\">10.1007/s11005-015-0787-5</a>.","short":"A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.","chicago":"Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” <i>Letters in Mathematical Physics</i>. Springer, 2015. <a href=\"https://doi.org/10.1007/s11005-015-0787-5\">https://doi.org/10.1007/s11005-015-0787-5</a>.","ama":"Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative entropies. <i>Letters in Mathematical Physics</i>. 2015;105(10):1449-1466. doi:<a href=\"https://doi.org/10.1007/s11005-015-0787-5\">10.1007/s11005-015-0787-5</a>"},"oa":1,"file":[{"checksum":"fd7307282a314cc1fbbaef77b187516b","date_updated":"2020-07-14T12:45:13Z","file_name":"2015_LettersMathPhys_Deuchert.pdf","content_type":"application/pdf","access_level":"open_access","creator":"dernst","date_created":"2019-01-15T14:42:07Z","file_id":"5836","relation":"main_file","file_size":484967}],"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Andreas","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"license":"https://creativecommons.org/licenses/by-nc/4.0/","publication_status":"published","arxiv":1,"ddc":["510"],"status":"public","date_published":"2015-08-05T00:00:00Z","abstract":[{"text":"Given a convex function (Formula presented.) and two hermitian matrices A and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative entropy defined by (Formula presented.). Among other things, they prove that the so-defined quantity is monotone if and only if (Formula presented.) is operator monotone. The monotonicity is then used to properly define (Formula presented.) for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional projections (Formula presented.) with (Formula presented.) strongly, the limit (Formula presented.) is shown to exist and to be independent of the sequence of projections (Formula presented.). The question whether this sequence converges to its &quot;obvious&quot; limit, namely (Formula presented.), has been left open. We answer this question in principle affirmatively and show that (Formula presented.). If the operators A and B are regular enough, that is (A − B), (Formula presented.) and (Formula presented.) are trace-class, the identity (Formula presented.) holds.","lang":"eng"}],"scopus_import":"1","month":"08","article_processing_charge":"No","title":"Note on a family of monotone quantum relative entropies","oa_version":"Preprint","year":"2015","issue":"10","_id":"1704"},{"publication":"Journal de l'Ecole Polytechnique - Mathematiques","publist_id":"7344","volume":2,"citation":{"ieee":"M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures from many-body quantum mechanics,” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 2. Ecole Polytechnique, pp. 65–115, 2015.","ista":"Lewin M, Nam P, Rougerie N. 2015. Derivation of nonlinear gibbs measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2, 65–115.","apa":"Lewin, M., Nam, P., &#38; Rougerie, N. (2015). Derivation of nonlinear gibbs measures from many-body quantum mechanics. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique. <a href=\"https://doi.org/10.5802/jep.18\">https://doi.org/10.5802/jep.18</a>","mla":"Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body Quantum Mechanics.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 2, Ecole Polytechnique, 2015, pp. 65–115, doi:<a href=\"https://doi.org/10.5802/jep.18\">10.5802/jep.18</a>.","short":"M. Lewin, P. Nam, N. Rougerie, Journal de l’Ecole Polytechnique - Mathematiques 2 (2015) 65–115.","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “Derivation of Nonlinear Gibbs Measures from Many-Body Quantum Mechanics.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique, 2015. <a href=\"https://doi.org/10.5802/jep.18\">https://doi.org/10.5802/jep.18</a>.","ama":"Lewin M, Nam P, Rougerie N. Derivation of nonlinear gibbs measures from many-body quantum mechanics. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. 2015;2:65-115. doi:<a href=\"https://doi.org/10.5802/jep.18\">10.5802/jep.18</a>"},"type":"journal_article","ec_funded":1,"doi":"10.5802/jep.18","day":"01","publisher":"Ecole Polytechnique","page":"65 - 115","pubrep_id":"951","department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:46:40Z","file_date_updated":"2020-07-14T12:46:35Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)"},"language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"         2","has_accepted_license":"1","date_updated":"2021-01-12T08:00:52Z","month":"01","oa_version":"Published Version","_id":"473","year":"2015","title":"Derivation of nonlinear gibbs measures from many-body quantum mechanics","license":"https://creativecommons.org/licenses/by-nd/4.0/","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"last_name":"Phan Thanh","first_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Phan Thanh, Nam"},{"last_name":"Rougerie","first_name":"Nicolas","full_name":"Rougerie, Nicolas"}],"publication_status":"published","project":[{"name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"checksum":"a40eb4016717ddc9927154798a4c164a","file_name":"IST-2018-951-v1+1_2015_Thanh-Nam_Derivation_of.pdf","date_updated":"2020-07-14T12:46:35Z","content_type":"application/pdf","date_created":"2018-12-12T10:12:53Z","creator":"system","access_level":"open_access","file_id":"4974","relation":"main_file","file_size":1084254}],"status":"public","scopus_import":1,"abstract":[{"lang":"eng","text":"We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverges and the interaction strength behaves as 1/T. We proceed by characterizing the interacting Gibbs state as minimizing a functional counting the free-energy relatively to the non-interacting case. We then perform an infinite-dimensional analogue of phase-space semiclassical analysis, using fine properties of the quantum relative entropy, the link between quantum de Finetti measures and upper/lower symbols in a coherent state basis, as well as Berezin-Lieb type inequalities. Our results cover the measure built on the defocusing nonlinear Schrödinger functional on a finite interval, as well as smoother interactions in dimensions d 2."}],"date_published":"2015-01-01T00:00:00Z","ddc":["539"]},{"date_created":"2018-12-11T11:54:11Z","file_date_updated":"2020-07-14T12:45:17Z","article_number":"1.4881536","department":[{"_id":"RoSe"}],"intvolume":"        55","language":[{"iso":"eng"}],"quality_controlled":"1","date_updated":"2025-09-29T13:13:35Z","has_accepted_license":"1","external_id":{"isi":["000341174600010"]},"corr_author":"1","publication":"Journal of Mathematical Physics","publist_id":"5285","citation":{"chicago":"Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2014. <a href=\"https://doi.org/10.1063/1.4881536\">https://doi.org/10.1063/1.4881536</a>.","ama":"Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. <i>Journal of Mathematical Physics</i>. 2014;55(7). doi:<a href=\"https://doi.org/10.1063/1.4881536\">10.1063/1.4881536</a>","apa":"Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4881536\">https://doi.org/10.1063/1.4881536</a>","mla":"Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:<a href=\"https://doi.org/10.1063/1.4881536\">10.1063/1.4881536</a>.","ista":"Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 55(7), 1.4881536.","ieee":"R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7. American Institute of Physics, 2014.","short":"R. Seiringer, Journal of Mathematical Physics 55 (2014)."},"volume":55,"pubrep_id":"532","doi":"10.1063/1.4881536","day":"26","publisher":"American Institute of Physics","type":"journal_article","project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"publication_status":"published","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"file":[{"relation":"main_file","file_size":269171,"file_id":"5172","date_created":"2018-12-12T10:15:49Z","creator":"system","access_level":"open_access","content_type":"application/pdf","file_name":"IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf","date_updated":"2020-07-14T12:45:17Z","checksum":"ed0efc93c10f1341155f0316af617b82"}],"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"abstract":[{"text":"We review recent progress towards a rigorous understanding of the Bogoliubov approximation for bosonic quantum many-body systems. We focus, in particular, on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A list of open problems will be discussed at the end.","lang":"eng"}],"date_published":"2014-06-26T00:00:00Z","scopus_import":"1","status":"public","ddc":["510","530"],"article_processing_charge":"No","month":"06","year":"2014","issue":"7","_id":"1821","oa_version":"Submitted Version","title":"Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation"},{"date_updated":"2025-09-29T13:12:51Z","external_id":{"isi":["000341174600001"]},"intvolume":"        55","language":[{"iso":"eng"}],"date_published":"2014-07-01T00:00:00Z","quality_controlled":"1","scopus_import":"1","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","isi":1,"date_created":"2018-12-11T11:54:12Z","publication_status":"published","author":[{"first_name":"Vojkan","full_name":"Jakšić, Vojkan","last_name":"Jakšić"},{"full_name":"Pillet, Claude","first_name":"Claude","last_name":"Pillet"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_number":"075101","department":[{"_id":"RoSe"}],"day":"01","doi":"10.1063/1.4884877","publisher":"American Institute of Physics","title":"Introduction","type":"journal_article","year":"2014","issue":"7","_id":"1822","citation":{"short":"V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).","ieee":"V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7. American Institute of Physics, 2014.","mla":"Jakšić, Vojkan, et al. “Introduction.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:<a href=\"https://doi.org/10.1063/1.4884877\">10.1063/1.4884877</a>.","apa":"Jakšić, V., Pillet, C., &#38; Seiringer, R. (2014). Introduction. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4884877\">https://doi.org/10.1063/1.4884877</a>","ista":"Jakšić V, Pillet C, Seiringer R. 2014. Introduction. Journal of Mathematical Physics. 55(7), 075101.","ama":"Jakšić V, Pillet C, Seiringer R. Introduction. <i>Journal of Mathematical Physics</i>. 2014;55(7). doi:<a href=\"https://doi.org/10.1063/1.4884877\">10.1063/1.4884877</a>","chicago":"Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2014. <a href=\"https://doi.org/10.1063/1.4884877\">https://doi.org/10.1063/1.4884877</a>."},"volume":55,"oa_version":"None","month":"07","publist_id":"5284","publication":"Journal of Mathematical Physics","article_processing_charge":"No"},{"month":"10","article_processing_charge":"No","title":"Validity of spin-wave theory for the quantum Heisenberg model","oa_version":"Submitted Version","year":"2014","issue":"2","_id":"2029","oa":1,"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"last_name":"Correggi","first_name":"Michele","full_name":"Correggi, Michele"},{"full_name":"Giuliani, Alessandro","first_name":"Alessandro","last_name":"Giuliani"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"publication_status":"published","acknowledgement":"239694; ERC; European Research Council","arxiv":1,"status":"public","date_published":"2014-10-13T00:00:00Z","abstract":[{"lang":"eng","text":"Spin-wave theory is a key ingredient in our comprehension of quantum spin systems, and is used successfully for understanding a wide range of magnetic phenomena, including magnon condensation and stability of patterns in dipolar systems. Nevertheless, several decades of research failed to establish the validity of spin-wave theory rigorously, even for the simplest models of quantum spins. A rigorous justification of the method for the three-dimensional quantum Heisenberg ferromagnet at low temperatures is presented here. We derive sharp bounds on its free energy by combining a bosonic formulation of the model introduced by Holstein and Primakoff with probabilistic estimates and operator inequalities."}],"scopus_import":"1","publist_id":"5044","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1404.4717"}],"publication":"EPL","type":"journal_article","doi":"10.1209/0295-5075/108/20003","publisher":"IOP Publishing","day":"13","volume":108,"citation":{"ama":"Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum Heisenberg model. <i>EPL</i>. 2014;108(2). doi:<a href=\"https://doi.org/10.1209/0295-5075/108/20003\">10.1209/0295-5075/108/20003</a>","chicago":"Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” <i>EPL</i>. IOP Publishing, 2014. <a href=\"https://doi.org/10.1209/0295-5075/108/20003\">https://doi.org/10.1209/0295-5075/108/20003</a>.","short":"M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).","ieee":"M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory for the quantum Heisenberg model,” <i>EPL</i>, vol. 108, no. 2. IOP Publishing, 2014.","apa":"Correggi, M., Giuliani, A., &#38; Seiringer, R. (2014). Validity of spin-wave theory for the quantum Heisenberg model. <i>EPL</i>. IOP Publishing. <a href=\"https://doi.org/10.1209/0295-5075/108/20003\">https://doi.org/10.1209/0295-5075/108/20003</a>","ista":"Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 108(2), 20003.","mla":"Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” <i>EPL</i>, vol. 108, no. 2, 20003, IOP Publishing, 2014, doi:<a href=\"https://doi.org/10.1209/0295-5075/108/20003\">10.1209/0295-5075/108/20003</a>."},"article_number":"20003","department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:55:18Z","external_id":{"isi":["000344913300003"],"arxiv":["1404.4717"]},"date_updated":"2025-09-29T11:55:55Z","intvolume":"       108","quality_controlled":"1","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"        26","external_id":{"isi":["000341933500002"],"arxiv":["1305.5135"]},"date_updated":"2025-09-29T13:07:59Z","department":[{"_id":"RoSe"}],"article_number":"1450012","date_created":"2018-12-11T11:54:33Z","volume":26,"citation":{"chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2014. <a href=\"https://doi.org/10.1142/S0129055X14500123\">https://doi.org/10.1142/S0129055X14500123</a>.","ama":"Bräunlich G, Hainzl C, Seiringer R. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. <i>Reviews in Mathematical Physics</i>. 2014;26(7). doi:<a href=\"https://doi.org/10.1142/S0129055X14500123\">10.1142/S0129055X14500123</a>","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free states for fermionic systems and the BCS approximation,” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 7. World Scientific Publishing, 2014.","mla":"Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:<a href=\"https://doi.org/10.1142/S0129055X14500123\">10.1142/S0129055X14500123</a>.","apa":"Bräunlich, G., Hainzl, C., &#38; Seiringer, R. (2014). Translation-invariant quasi-free states for fermionic systems and the BCS approximation. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X14500123\">https://doi.org/10.1142/S0129055X14500123</a>","ista":"Bräunlich G, Hainzl C, Seiringer R. 2014. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 26(7), 1450012.","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014)."},"type":"journal_article","doi":"10.1142/S0129055X14500123","publisher":"World Scientific Publishing","day":"01","publication":"Reviews in Mathematical Physics","publist_id":"5206","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1305.5135"}],"status":"public","abstract":[{"text":"We study translation-invariant quasi-free states for a system of fermions with two-particle interactions. The associated energy functional is similar to the BCS functional but also includes direct and exchange energies. We show that for suitable short-range interactions, these latter terms only lead to a renormalization of the chemical potential, with the usual properties of the BCS functional left unchanged. Our analysis thus represents a rigorous justification of part of the BCS approximation. We give bounds on the critical temperature below which the system displays superfluidity.","lang":"eng"}],"date_published":"2014-08-01T00:00:00Z","scopus_import":"1","arxiv":1,"acknowledgement":"We would like to thank Max Lein and Andreas Deuchert for valuable suggestions and remarks. Partial financial support by the NSERC (R.S.) is gratefully acknowledged.","author":[{"last_name":"Bräunlich","first_name":"Gerhard","full_name":"Bräunlich, Gerhard"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"article_type":"original","publication_status":"published","oa":1,"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Submitted Version","issue":"7","_id":"1889","year":"2014","title":"Translation-invariant quasi-free states for fermionic systems and the BCS approximation","article_processing_charge":"No","month":"08"},{"oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","isi":1,"author":[{"full_name":"Frank, Rupert","first_name":"Rupert","last_name":"Frank"},{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"publication_status":"published","arxiv":1,"status":"public","abstract":[{"lang":"eng","text":"We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation with a time-dependent potential and we show the existence of the wave operator in Schatten spaces."}],"date_published":"2014-08-23T00:00:00Z","scopus_import":"1","month":"08","article_processing_charge":"No","title":"Strichartz inequality for orthonormal functions","oa_version":"Submitted Version","year":"2014","_id":"1904","issue":"7","department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:54:38Z","external_id":{"arxiv":["1306.1309"],"isi":["000345494900006"]},"date_updated":"2025-09-29T12:28:54Z","intvolume":"        16","language":[{"iso":"eng"}],"quality_controlled":"1","publist_id":"5191","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1306.1309"}],"publication":"Journal of the European Mathematical Society","type":"journal_article","page":"1507 - 1526","publisher":"European Mathematical Society","day":"23","doi":"10.4171/JEMS/467","volume":16,"citation":{"chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2014. <a href=\"https://doi.org/10.4171/JEMS/467\">https://doi.org/10.4171/JEMS/467</a>.","ama":"Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal functions. <i>Journal of the European Mathematical Society</i>. 2014;16(7):1507-1526. doi:<a href=\"https://doi.org/10.4171/JEMS/467\">10.4171/JEMS/467</a>","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” <i>Journal of the European Mathematical Society</i>, vol. 16, no. 7. European Mathematical Society, pp. 1507–1526, 2014.","ista":"Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526.","apa":"Frank, R., Lewin, M., Lieb, É., &#38; Seiringer, R. (2014). Strichartz inequality for orthonormal functions. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/467\">https://doi.org/10.4171/JEMS/467</a>","mla":"Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical Society</i>, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:<a href=\"https://doi.org/10.4171/JEMS/467\">10.4171/JEMS/467</a>.","short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526."}},{"arxiv":1,"abstract":[{"text":"As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition. We investigate whether the electrons remain bound and whether the radius of the system stays finite as the critical value Zc is approached. Existence of a ground state at Zc is shown under the condition Zc &lt; N-K, where K is the maximal number of electrons that can be removed at Zc without changing the energy.","lang":"eng"}],"date_published":"2014-02-01T00:00:00Z","scopus_import":"1","status":"public","isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"publication_status":"published","project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"author":[{"last_name":"Bellazzini","full_name":"Bellazzini, Jacopo","first_name":"Jacopo"},{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"full_name":"Lieb, Élliott","first_name":"Élliott","last_name":"Lieb"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Existence of ground states for negative ions at the binding threshold","_id":"1918","issue":"1","year":"2014","oa_version":"Submitted Version","month":"02","article_processing_charge":"No","date_updated":"2025-09-29T12:19:33Z","corr_author":"1","external_id":{"arxiv":["1301.5370"],"isi":["000329928300004"]},"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"        26","date_created":"2018-12-11T11:54:42Z","department":[{"_id":"RoSe"}],"article_number":"1350021","day":"01","publisher":"World Scientific Publishing","doi":"10.1142/S0129055X13500219","type":"journal_article","citation":{"ama":"Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>. 2014;26(1). doi:<a href=\"https://doi.org/10.1142/S0129055X13500219\">10.1142/S0129055X13500219</a>","chicago":"Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2014. <a href=\"https://doi.org/10.1142/S0129055X13500219\">https://doi.org/10.1142/S0129055X13500219</a>.","short":"J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).","ieee":"J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 1. World Scientific Publishing, 2014.","mla":"Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:<a href=\"https://doi.org/10.1142/S0129055X13500219\">10.1142/S0129055X13500219</a>.","ista":"Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1), 1350021.","apa":"Bellazzini, J., Frank, R., Lieb, É., &#38; Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X13500219\">https://doi.org/10.1142/S0129055X13500219</a>"},"volume":26,"main_file_link":[{"url":"http://arxiv.org/abs/1301.5370","open_access":"1"}],"publist_id":"5176","publication":"Reviews in Mathematical Physics"},{"publist_id":"5159","publication":"Communications in Mathematical Physics","page":"333 - 350","publisher":"Springer","doi":"10.1007/s00220-014-1923-2","day":"01","type":"journal_article","citation":{"ieee":"A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near the ferromagnetic transition,” <i>Communications in Mathematical Physics</i>, vol. 331. Springer, pp. 333–350, 2014.","mla":"Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” <i>Communications in Mathematical Physics</i>, vol. 331, Springer, 2014, pp. 333–50, doi:<a href=\"https://doi.org/10.1007/s00220-014-1923-2\">10.1007/s00220-014-1923-2</a>.","ista":"Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350.","apa":"Giuliani, A., Lieb, É., &#38; Seiringer, R. (2014). Formation of stripes and slabs near the ferromagnetic transition. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-014-1923-2\">https://doi.org/10.1007/s00220-014-1923-2</a>","short":"A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.","chicago":"Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” <i>Communications in Mathematical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s00220-014-1923-2\">https://doi.org/10.1007/s00220-014-1923-2</a>.","ama":"Giuliani A, Lieb É, Seiringer R. Formation of stripes and slabs near the ferromagnetic transition. <i>Communications in Mathematical Physics</i>. 2014;331:333-350. doi:<a href=\"https://doi.org/10.1007/s00220-014-1923-2\">10.1007/s00220-014-1923-2</a>"},"volume":331,"date_created":"2018-12-11T11:54:48Z","file_date_updated":"2022-05-24T08:30:40Z","department":[{"_id":"RoSe"}],"date_updated":"2025-09-29T12:08:54Z","has_accepted_license":"1","external_id":{"arxiv":["1304.6344"],"isi":["000339732500011"]},"intvolume":"       331","language":[{"iso":"eng"}],"quality_controlled":"1","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"month":"10","article_processing_charge":"No","title":"Formation of stripes and slabs near the ferromagnetic transition","year":"2014","_id":"1935","oa_version":"Published Version","file":[{"success":1,"checksum":"c8423271cd1e1ba9e44c47af75efe7b6","file_name":"2014_CommMathPhysics_Giuliani.pdf","date_updated":"2022-05-24T08:30:40Z","content_type":"application/pdf","creator":"dernst","date_created":"2022-05-24T08:30:40Z","access_level":"open_access","file_id":"11409","file_size":334064,"relation":"main_file"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","isi":1,"oa":1,"article_type":"original","publication_status":"published","author":[{"full_name":"Giuliani, Alessandro","first_name":"Alessandro","last_name":"Giuliani"},{"full_name":"Lieb, Élliott","first_name":"Élliott","last_name":"Lieb"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"acknowledgement":"2014 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes.\r\n\r\nThe research leading to these results has received funding from the European Research\r\nCouncil under the European Union’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694; A.G. and R.S.), the U.S. National Science Foundation (Grant PHY 0965859; E.H.L.), the Simons Foundation (Grant # 230207; E.H.L) and the NSERC (R.S.). The work is part of a project started in collaboration with Joel Lebowitz, whom we thank for many useful discussions and for his constant encouragement.","arxiv":1,"ddc":["510"],"scopus_import":"1","abstract":[{"lang":"eng","text":"We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor ferromagnetic and long-range antiferromagnetic interactions, the latter decaying as (distance)-p, p &gt; 2d, at large distances. If the strength J of the ferromagnetic interaction is larger than a critical value J c, then the ground state is homogeneous. It has been conjectured that when J is smaller than but close to J c, the ground state is periodic and striped, with stripes of constant width h = h(J), and h → ∞ as J → Jc -. (In d = 3 stripes mean slabs, not columns.) Here we rigorously prove that, if we normalize the energy in such a way that the energy of the homogeneous state is zero, then the ratio e 0(J)/e S(J) tends to 1 as J → Jc -, with e S(J) being the energy per site of the optimal periodic striped/slabbed state and e 0(J) the actual ground state energy per site of the system. Our proof comes with explicit bounds on the difference e 0(J)-e S(J) at small but positive J c-J, and also shows that in this parameter range the ground state is striped/slabbed in a certain sense: namely, if one looks at a randomly chosen window, of suitable size ℓ (very large compared to the optimal stripe size h(J)), one finds a striped/slabbed state with high probability."}],"date_published":"2014-10-01T00:00:00Z","status":"public"},{"publist_id":"5661","month":"01","main_file_link":[{"url":"https://arxiv.org/abs/1403.2563","open_access":"1"}],"article_processing_charge":"No","publication":"Proceedings of the QMath12 Conference","title":"On the BCS gap equation for superfluid fermionic gases","type":"conference","page":"127 - 137","publisher":"World Scientific Publishing","doi":"10.1142/9789814618144_0007","day":"01","oa_version":"Preprint","year":"2014","_id":"1516","citation":{"ista":"Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results in Quantum Physics, 127–137.","mla":"Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” <i>Proceedings of the QMath12 Conference</i>, World Scientific Publishing, 2014, pp. 127–37, doi:<a href=\"https://doi.org/10.1142/9789814618144_0007\">10.1142/9789814618144_0007</a>.","apa":"Bräunlich, G., Hainzl, C., &#38; Seiringer, R. (2014). On the BCS gap equation for superfluid fermionic gases. In <i>Proceedings of the QMath12 Conference</i> (pp. 127–137). Berlin, Germany: World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814618144_0007\">https://doi.org/10.1142/9789814618144_0007</a>","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid fermionic gases,” in <i>Proceedings of the QMath12 Conference</i>, Berlin, Germany, 2014, pp. 127–137.","short":"G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.","chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In <i>Proceedings of the QMath12 Conference</i>, 127–37. World Scientific Publishing, 2014. <a href=\"https://doi.org/10.1142/9789814618144_0007\">https://doi.org/10.1142/9789814618144_0007</a>.","ama":"Bräunlich G, Hainzl C, Seiringer R. On the BCS gap equation for superfluid fermionic gases. In: <i>Proceedings of the QMath12 Conference</i>. World Scientific Publishing; 2014:127-137. doi:<a href=\"https://doi.org/10.1142/9789814618144_0007\">10.1142/9789814618144_0007</a>"},"oa":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Bräunlich","full_name":"Bräunlich, Gerhard","first_name":"Gerhard"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"department":[{"_id":"RoSe"}],"publication_status":"published","date_created":"2018-12-11T11:52:28Z","conference":{"location":"Berlin, Germany","end_date":"2013-09-13","name":"QMath: Mathematical Results in Quantum Physics","start_date":"2013-09-10"},"external_id":{"arxiv":["1403.2563"]},"arxiv":1,"date_updated":"2021-01-12T06:51:19Z","status":"public","date_published":"2014-01-01T00:00:00Z","quality_controlled":"1","abstract":[{"lang":"eng","text":"We present a rigorous derivation of the BCS gap equation for superfluid fermionic gases with point interactions. Our starting point is the BCS energy functional, whose minimizer we investigate in the limit when the range of the interaction potential goes to zero.\r\n"}],"language":[{"iso":"eng"}]},{"status":"public","scopus_import":"1","date_published":"2014-03-01T00:00:00Z","abstract":[{"lang":"eng","text":"We review recent progress towards a rigorous understanding of the excitation spectrum of bosonic quantum many-body systems. In particular, we explain how one can rigorously establish the predictions resulting from the Bogoliubov approximation in the mean field limit. The latter predicts that the spectrum is made up of elementary excitations, whose energy behaves linearly in the momentum for small momentum. This property is crucial for the superfluid behavior of the system. We also discuss a list of open problems in this field."}],"author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_type":"original","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"None","year":"2014","_id":"10814","title":"The excitation spectrum for Bose fluids with weak interactions","keyword":["General Medicine"],"article_processing_charge":"No","month":"03","publication_identifier":{"issn":["0012-0456"],"eissn":["1869-7135"]},"intvolume":"       116","language":[{"iso":"eng"}],"quality_controlled":"1","corr_author":"1","date_updated":"2024-10-09T21:01:45Z","department":[{"_id":"RoSe"}],"date_created":"2022-03-04T07:54:39Z","volume":116,"citation":{"chicago":"Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” <i>Jahresbericht Der Deutschen Mathematiker-Vereinigung</i>. Springer Nature, 2014. <a href=\"https://doi.org/10.1365/s13291-014-0083-9\">https://doi.org/10.1365/s13291-014-0083-9</a>.","ama":"Seiringer R. The excitation spectrum for Bose fluids with weak interactions. <i>Jahresbericht der Deutschen Mathematiker-Vereinigung</i>. 2014;116:21-41. doi:<a href=\"https://doi.org/10.1365/s13291-014-0083-9\">10.1365/s13291-014-0083-9</a>","ieee":"R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,” <i>Jahresbericht der Deutschen Mathematiker-Vereinigung</i>, vol. 116. Springer Nature, pp. 21–41, 2014.","ista":"Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.","mla":"Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” <i>Jahresbericht Der Deutschen Mathematiker-Vereinigung</i>, vol. 116, Springer Nature, 2014, pp. 21–41, doi:<a href=\"https://doi.org/10.1365/s13291-014-0083-9\">10.1365/s13291-014-0083-9</a>.","apa":"Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions. <i>Jahresbericht Der Deutschen Mathematiker-Vereinigung</i>. Springer Nature. <a href=\"https://doi.org/10.1365/s13291-014-0083-9\">https://doi.org/10.1365/s13291-014-0083-9</a>","short":"R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41."},"type":"journal_article","page":"21-41","doi":"10.1365/s13291-014-0083-9","day":"01","publisher":"Springer Nature","publication":"Jahresbericht der Deutschen Mathematiker-Vereinigung"},{"date_updated":"2025-09-29T11:33:31Z","external_id":{"isi":["000336412300005"],"arxiv":["1311.2136"]},"intvolume":"       104","quality_controlled":"1","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:56:12Z","department":[{"_id":"RoSe"}],"page":"871 - 891","doi":"10.1007/s11005-014-0693-2","day":"07","publisher":"Springer","type":"journal_article","citation":{"ama":"Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. <i>Letters in Mathematical Physics</i>. 2014;104(7):871-891. doi:<a href=\"https://doi.org/10.1007/s11005-014-0693-2\">10.1007/s11005-014-0693-2</a>","chicago":"Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” <i>Letters in Mathematical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s11005-014-0693-2\">https://doi.org/10.1007/s11005-014-0693-2</a>.","short":"T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.","ieee":"T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” <i>Letters in Mathematical Physics</i>, vol. 104, no. 7. Springer, pp. 871–891, 2014.","mla":"Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” <i>Letters in Mathematical Physics</i>, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:<a href=\"https://doi.org/10.1007/s11005-014-0693-2\">10.1007/s11005-014-0693-2</a>.","apa":"Chen, T., Hainzl, C., Pavlović, N., &#38; Seiringer, R. (2014). On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-014-0693-2\">https://doi.org/10.1007/s11005-014-0693-2</a>","ista":"Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 104(7), 871–891."},"volume":104,"main_file_link":[{"url":"http://arxiv.org/abs/1311.2136","open_access":"1"}],"publist_id":"4793","publication":"Letters in Mathematical Physics","arxiv":1,"date_published":"2014-05-07T00:00:00Z","abstract":[{"lang":"eng","text":"We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii (GP) hierarchy in ℝ3. Moreover, we show that an exponential energy growth condition commonly used in the well-posedness theory of the GP hierarchy is, in a specific sense, necessary. In fact, we prove that without the latter, there exist initial data for the focusing cubic GP hierarchy for which instantaneous blowup occurs."}],"scopus_import":"1","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","isi":1,"oa":1,"project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"publication_status":"published","author":[{"full_name":"Chen, Thomas","first_name":"Thomas","last_name":"Chen"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"first_name":"Nataša","full_name":"Pavlović, Nataša","last_name":"Pavlović"},{"first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"title":"On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti","year":"2014","_id":"2186","issue":"7","oa_version":"Submitted Version","month":"05","article_processing_charge":"No"},{"date_updated":"2025-09-29T11:12:19Z","external_id":{"isi":["000330128000002"],"arxiv":["1301.5682"]},"corr_author":"1","intvolume":"       104","quality_controlled":"1","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:56:44Z","department":[{"_id":"RoSe"}],"page":"141 - 156","doi":"10.1007/s11005-013-0667-9","day":"01","publisher":"Springer","type":"journal_article","citation":{"chicago":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” <i>Letters in Mathematical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s11005-013-0667-9\">https://doi.org/10.1007/s11005-013-0667-9</a>.","ama":"Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. <i>Letters in Mathematical Physics</i>. 2014;104(2):141-156. doi:<a href=\"https://doi.org/10.1007/s11005-013-0667-9\">10.1007/s11005-013-0667-9</a>","ieee":"Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” <i>Letters in Mathematical Physics</i>, vol. 104, no. 2. Springer, pp. 141–156, 2014.","apa":"Guo, Y., &#38; Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-013-0667-9\">https://doi.org/10.1007/s11005-013-0667-9</a>","ista":"Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.","mla":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” <i>Letters in Mathematical Physics</i>, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:<a href=\"https://doi.org/10.1007/s11005-013-0667-9\">10.1007/s11005-013-0667-9</a>.","short":"Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156."},"volume":104,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1301.5682"}],"publist_id":"4653","publication":"Letters in Mathematical Physics","arxiv":1,"abstract":[{"text":"We consider two-dimensional Bose-Einstein condensates with attractive interaction, described by the Gross-Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies {Mathematical expression}, where Q is the unique positive radial solution of {Mathematical expression} in {Mathematical expression}. We present a detailed analysis of the behavior of minimizers as a approaches a*, where all the mass concentrates at a global minimum of the trapping potential.","lang":"eng"}],"date_published":"2014-02-01T00:00:00Z","scopus_import":"1","status":"public","isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"article_type":"original","publication_status":"published","author":[{"first_name":"Yujin","full_name":"Guo, Yujin","last_name":"Guo"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"title":"On the mass concentration for Bose-Einstein condensates with attractive interactions","year":"2014","_id":"2281","issue":"2","oa_version":"Preprint","month":"02","article_processing_charge":"No"},{"status":"public","abstract":[{"lang":"eng","text":"Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature properties of a system is the structure of the excitation spectrum, which is the part of the spectrum close to the spectral bottom. We present recent progress on this question for bosonic many-body quantum systems with weak two-body interactions. Such system are currently of great interest, due to their experimental realization in ultra-cold atomic gases. We investigate the accuracy of the Bogoliubov approximations, which predicts that the low-energy spectrum is made up of sums of elementary excitations, with linear dispersion law at low momentum. The latter property is crucial for the superfluid behavior the system."}],"scopus_import":"1","date_published":"2014-08-01T00:00:00Z","conference":{"location":"Seoul, South Korea","start_date":"2014-08-13","name":"ICM: International Congress of Mathematicans","end_date":"2014-08-21"},"OA_type":"free access","author":[{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_status":"published","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","year":"2014","_id":"8044","title":"Structure of the excitation spectrum for many-body quantum systems","article_processing_charge":"No","month":"08","publication_identifier":{"isbn":["9788961058063"]},"intvolume":"         3","language":[{"iso":"eng"}],"quality_controlled":"1","corr_author":"1","date_updated":"2025-07-15T08:39:50Z","OA_place":"publisher","department":[{"_id":"RoSe"}],"date_created":"2020-06-29T07:59:35Z","volume":3,"citation":{"short":"R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.","mla":"Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” <i>Proceeding of the International Congress of Mathematicans</i>, vol. 3, International Congress of Mathematicians, 2014, pp. 1175–94.","apa":"Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum systems. In <i>Proceeding of the International Congress of Mathematicans</i> (Vol. 3, pp. 1175–1194). Seoul, South Korea: International Congress of Mathematicians.","ista":"Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum systems. Proceeding of the International Congress of Mathematicans. ICM: International Congress of Mathematicans vol. 3, 1175–1194.","ieee":"R. Seiringer, “Structure of the excitation spectrum for many-body quantum systems,” in <i>Proceeding of the International Congress of Mathematicans</i>, Seoul, South Korea, 2014, vol. 3, pp. 1175–1194.","ama":"Seiringer R. Structure of the excitation spectrum for many-body quantum systems. In: <i>Proceeding of the International Congress of Mathematicans</i>. Vol 3. International Congress of Mathematicians; 2014:1175-1194.","chicago":"Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” In <i>Proceeding of the International Congress of Mathematicans</i>, 3:1175–94. International Congress of Mathematicians, 2014."},"type":"conference","page":"1175-1194","day":"01","publisher":"International Congress of Mathematicians","publication":"Proceeding of the International Congress of Mathematicans","main_file_link":[{"open_access":"1","url":"http://www.icm2014.org/en/vod/proceedings.html"}]},{"_id":"2297","issue":"2","year":"2013","oa_version":"Preprint","title":"Hot topics in cold gases: A mathematical physics perspective","article_processing_charge":"No","month":"09","scopus_import":"1","abstract":[{"text":"We present an overview of mathematical results on the low temperature properties of dilute quantum gases, which have been obtained in the past few years. The presentation includes a discussion of Bose-Einstein condensation, the excitation spectrum for trapped gases and its relation to superfluidity, as well as the appearance of quantized vortices in rotating systems. All these properties are intensely being studied in current experiments on cold atomic gases. We will give a description of the mathematics involved in understanding these phenomena, starting from the underlying many-body Schrödinger equation.","lang":"eng"}],"date_published":"2013-09-24T00:00:00Z","status":"public","arxiv":1,"publication_status":"published","author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"citation":{"mla":"Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” <i>Japanese Journal of Mathematics</i>, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:<a href=\"https://doi.org/10.1007/s11537-013-1264-5\">10.1007/s11537-013-1264-5</a>.","apa":"Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective. <i>Japanese Journal of Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s11537-013-1264-5\">https://doi.org/10.1007/s11537-013-1264-5</a>","ista":"Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 8(2), 185–232.","ieee":"R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,” <i>Japanese Journal of Mathematics</i>, vol. 8, no. 2. Springer, pp. 185–232, 2013.","short":"R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.","chicago":"Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” <i>Japanese Journal of Mathematics</i>. Springer, 2013. <a href=\"https://doi.org/10.1007/s11537-013-1264-5\">https://doi.org/10.1007/s11537-013-1264-5</a>.","ama":"Seiringer R. Hot topics in cold gases: A mathematical physics perspective. <i>Japanese Journal of Mathematics</i>. 2013;8(2):185-232. doi:<a href=\"https://doi.org/10.1007/s11537-013-1264-5\">10.1007/s11537-013-1264-5</a>"},"volume":8,"doi":"10.1007/s11537-013-1264-5","day":"24","publisher":"Springer","page":"185 - 232","type":"journal_article","publication":"Japanese Journal of Mathematics","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0908.3686"}],"publist_id":"4631","language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"         8","date_updated":"2025-09-29T14:19:17Z","corr_author":"1","external_id":{"arxiv":["0908.3686"],"isi":["000324648700001"]},"date_created":"2018-12-11T11:56:50Z","department":[{"_id":"RoSe"}]}]