[{"file_date_updated":"2020-07-14T12:44:38Z","ddc":["510","539"],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"Yes (via OA deal)","intvolume":"       107","date_created":"2018-12-11T11:50:40Z","department":[{"_id":"RoSe"}],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","isi":1,"volume":107,"month":"03","publication_identifier":{"issn":["03779017"]},"publist_id":"6152","quality_controlled":"1","type":"journal_article","doi":"10.1007/s11005-016-0915-x","language":[{"iso":"eng"}],"year":"2017","publisher":"Springer","date_published":"2017-03-01T00:00:00Z","author":[{"full_name":"Moser, Thomas","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser"},{"first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"_id":"1198","oa":1,"scopus_import":"1","issue":"3","has_accepted_license":"1","pubrep_id":"723","citation":{"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>","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>","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.","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>.","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.","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.","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>."},"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"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication":"Letters in Mathematical Physics","file":[{"creator":"system","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_size":587207,"file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","date_updated":"2020-07-14T12:44:38Z","checksum":"c0c835def162c1bc52f978fad26e3c2f","file_id":"5296","date_created":"2018-12-12T10:17:40Z"}],"title":"Triviality of a model of particles with point interactions in the thermodynamic limit","related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"external_id":{"isi":["000394280200007"]},"status":"public","license":"https://creativecommons.org/licenses/by/4.0/","date_updated":"2023-09-20T11:18:13Z","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"page":" 533 - 552","oa_version":"Published Version","publication_status":"published","abstract":[{"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.","lang":"eng"}]},{"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"article_number":"235301","date_created":"2018-12-11T11:49:36Z","intvolume":"       119","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","publication_identifier":{"issn":["0031-9007"]},"publist_id":"6401","quality_controlled":"1","month":"12","article_type":"original","volume":119,"isi":1,"year":"2017","publisher":"American Physical Society","doi":"10.1103/PhysRevLett.119.235301","language":[{"iso":"eng"}],"type":"journal_article","_id":"997","oa":1,"author":[{"full_name":"Yakaboylu, Enderalp","first_name":"Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu"},{"first_name":"Andreas","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","first_name":"Mikhail"}],"date_published":"2017-12-06T00:00:00Z","arxiv":1,"citation":{"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.","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>","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).","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>","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>."},"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","grant_number":"291734"},{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P29902","call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment"}],"scopus_import":"1","issue":"23","main_file_link":[{"url":"https://arxiv.org/abs/1705.05162","open_access":"1"}],"title":"Emergence of non-abelian magnetic monopoles in a quantum impurity problem","external_id":{"arxiv":["1705.05162"],"isi":["000417132100007"]},"publication":"Physical Review Letters","date_updated":"2023-10-10T13:31:54Z","status":"public","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."}],"ec_funded":1,"day":"06","publication_status":"published","oa_version":"Preprint"},{"abstract":[{"text":"We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger functional whose quartic term is proportional to the scattering length of the interparticle interaction potential. We propose a new derivation of this limit problem, with a method that bypasses some of the technical difficulties that previous derivations had to face. The new method is based on a combination of Dyson\\'s lemma, the quantum de Finetti theorem and a second moment estimate for ground states of the effective Dyson Hamiltonian. It applies equally well to the case where magnetic fields or rotation are present.","lang":"eng"}],"ec_funded":1,"day":"24","oa_version":"Preprint","publication_status":"published","page":"459 - 485","date_updated":"2021-01-12T06:48:36Z","status":"public","main_file_link":[{"url":"https://arxiv.org/abs/1503.07061","open_access":"1"}],"title":"Ground states of large bosonic systems: The gross Pitaevskii limit revisited","publication":"Analysis and PDE","citation":{"ama":"Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. 2016;9(2):459-485. doi:<a href=\"https://doi.org/10.2140/apde.2016.9.459\">10.2140/apde.2016.9.459</a>","mla":"Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:<a href=\"https://doi.org/10.2140/apde.2016.9.459\">10.2140/apde.2016.9.459</a>.","ista":"Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.","short":"P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.","apa":"Nam, P., Rougerie, N., &#38; Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/apde.2016.9.459\">https://doi.org/10.2140/apde.2016.9.459</a>","ieee":"P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” <i>Analysis and PDE</i>, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016.","chicago":"Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2016. <a href=\"https://doi.org/10.2140/apde.2016.9.459\">https://doi.org/10.2140/apde.2016.9.459</a>."},"project":[{"name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734"}],"scopus_import":1,"issue":"2","_id":"1143","oa":1,"author":[{"full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam"},{"full_name":"Rougerie, Nicolas","first_name":"Nicolas","last_name":"Rougerie"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert"}],"date_published":"2016-03-24T00:00:00Z","year":"2016","publisher":"Mathematical Sciences Publishers","doi":"10.2140/apde.2016.9.459","language":[{"iso":"eng"}],"type":"journal_article","publist_id":"6215","quality_controlled":"1","month":"03","volume":9,"department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:50:23Z","intvolume":"         9","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87"},{"_id":"1620","oa":1,"author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"date_published":"2016-02-01T00:00:00Z","year":"2016","publisher":"Springer","doi":"10.1007/s00220-015-2526-2","language":[{"iso":"eng"}],"type":"journal_article","publist_id":"5546","quality_controlled":"1","month":"02","volume":342,"department":[{"_id":"RoSe"}],"acknowledgement":"The authors are grateful to I. M. Sigal for useful discussions. Financial support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432 (R.L.F.), from the Danish council for independent research and from ERC Advanced Grant 321029 (J.P.S.) is acknowledged.","date_created":"2018-12-11T11:53:04Z","intvolume":"       342","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"We consider the Bardeen–Cooper–Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg–Landau equation."}],"day":"01","page":"189 - 216","publication_status":"published","oa_version":"Submitted Version","date_updated":"2021-01-12T06:52:03Z","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1410.2352","open_access":"1"}],"title":"The external field dependence of the BCS critical temperature","publication":"Communications in Mathematical Physics","citation":{"chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” <i>Communications in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s00220-015-2526-2\">https://doi.org/10.1007/s00220-015-2526-2</a>.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” <i>Communications in Mathematical Physics</i>, vol. 342, no. 1. Springer, pp. 189–216, 2016.","apa":"Frank, R., Hainzl, C., Seiringer, R., &#38; Solovej, J. (2016). The external field dependence of the BCS critical temperature. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-015-2526-2\">https://doi.org/10.1007/s00220-015-2526-2</a>","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.","mla":"Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” <i>Communications in Mathematical Physics</i>, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:<a href=\"https://doi.org/10.1007/s00220-015-2526-2\">10.1007/s00220-015-2526-2</a>.","ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 342(1), 189–216.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of the BCS critical temperature. <i>Communications in Mathematical Physics</i>. 2016;342(1):189-216. doi:<a href=\"https://doi.org/10.1007/s00220-015-2526-2\">10.1007/s00220-015-2526-2</a>"},"scopus_import":1,"issue":"1"},{"date_created":"2018-12-11T11:53:05Z","department":[{"_id":"RoSe"}],"acknowledgement":"We thank Jan  Philip  Solovej, Robert Seiringer and Vladimir Maz’ya for helpful discussions, as well as Rupert Frank\r\nand the anonymous referee for useful comments. Part of this work has been carried out during a visit at the Institut Mittag-Leffler (Stockholm). D.L. acknowledges financial support by the grant KAW 2010.0063 from the Knut and Alice Wallenberg Foundation and the Swedish Research Council grant no. 2013-4734. P.T.N. is supported by the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no. 291734. F.P. acknowledges support from the ERC project no. 321029 “The\r\nmathematics of the structure of matter”.","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","intvolume":"       219","month":"03","publist_id":"5542","quality_controlled":"1","volume":219,"doi":"10.1007/s00205-015-0923-5","language":[{"iso":"eng"}],"year":"2016","publisher":"Springer","type":"journal_article","author":[{"first_name":"Douglas","full_name":"Lundholm, Douglas","last_name":"Lundholm"},{"full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam"},{"first_name":"Fabian","full_name":"Portmann, Fabian","last_name":"Portmann"}],"_id":"1622","oa":1,"date_published":"2016-03-01T00:00:00Z","citation":{"ieee":"D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 219, no. 3. Springer, pp. 1343–1382, 2016.","chicago":"Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” <i>Archive for Rational Mechanics and Analysis</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s00205-015-0923-5\">https://doi.org/10.1007/s00205-015-0923-5</a>.","ama":"Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. <i>Archive for Rational Mechanics and Analysis</i>. 2016;219(3):1343-1382. doi:<a href=\"https://doi.org/10.1007/s00205-015-0923-5\">10.1007/s00205-015-0923-5</a>","short":"D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis 219 (2016) 1343–1382.","apa":"Lundholm, D., Nam, P., &#38; Portmann, F. (2016). Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. <i>Archive for Rational Mechanics and Analysis</i>. Springer. <a href=\"https://doi.org/10.1007/s00205-015-0923-5\">https://doi.org/10.1007/s00205-015-0923-5</a>","mla":"Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:<a href=\"https://doi.org/10.1007/s00205-015-0923-5\">10.1007/s00205-015-0923-5</a>.","ista":"Lundholm D, Nam P, Portmann F. 2016. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 219(3), 1343–1382."},"project":[{"call_identifier":"FP7","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme"}],"scopus_import":1,"issue":"3","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1501.04570"}],"publication":"Archive for Rational Mechanics and Analysis","title":"Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems","date_updated":"2021-01-12T06:52:04Z","status":"public","day":"01","publication_status":"published","oa_version":"Submitted Version","page":"1343 - 1382","abstract":[{"text":"We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials, where no anti-symmetry on the wave functions is assumed. These many-body inequalities imply interesting one-body interpolation inequalities, and we show that the corresponding one- and many-body inequalities are actually equivalent in certain cases.","lang":"eng"}],"ec_funded":1},{"department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:52:00Z","intvolume":"       105","file_date_updated":"2020-07-14T12:44:54Z","ddc":["510","530"],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"5763","quality_controlled":"1","month":"01","volume":105,"year":"2016","publisher":"Elsevier","doi":"10.1016/j.matpur.2015.09.003","language":[{"iso":"eng"}],"type":"journal_article","_id":"1436","oa":1,"author":[{"full_name":"Bach, Volker","first_name":"Volker","last_name":"Bach"},{"last_name":"Breteaux","full_name":"Breteaux, Sébastien","first_name":"Sébastien"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","orcid":"0000-0002-9166-5889","first_name":"Sören P","full_name":"Petrat, Sören P"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"},{"first_name":"Tim","full_name":"Tzaneteas, Tim","last_name":"Tzaneteas"}],"date_published":"2016-01-01T00:00:00Z","citation":{"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>.","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.","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>.","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>","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.","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>"},"project":[{"call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"pubrep_id":"581","has_accepted_license":"1","scopus_import":1,"issue":"1","title":"Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction","file":[{"file_name":"IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf","file_size":658491,"date_created":"2018-12-12T10:10:36Z","file_id":"4825","checksum":"c5afe1f6935bc7f2b546adbde1d31a35","date_updated":"2020-07-14T12:44:54Z","creator":"system","access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"publication":"Journal de Mathématiques Pures et Appliquées","date_updated":"2021-01-12T06:50:43Z","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","status":"public","abstract":[{"lang":"eng","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."}],"ec_funded":1,"tmp":{"image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"day":"01","page":"1 - 30","publication_status":"published","oa_version":"Published Version"},{"publist_id":"5716","quality_controlled":"1","month":"02","volume":18,"department":[{"_id":"RoSe"}],"article_number":"035002","date_created":"2018-12-11T11:52:15Z","intvolume":"        18","file_date_updated":"2020-07-14T12:44:56Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","ddc":["510","530"],"_id":"1478","oa":1,"author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"},{"first_name":"Simone","full_name":"Warzel, Simone","last_name":"Warzel"}],"date_published":"2016-02-29T00:00:00Z","year":"2016","publisher":"IOP Publishing Ltd.","doi":"10.1088/1367-2630/18/3/035002","language":[{"iso":"eng"}],"type":"journal_article","title":"Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas","file":[{"file_name":"IST-2016-579-v1+1_njp_18_3_035002.pdf","file_size":965607,"checksum":"4f959eabc19d2a2f518318a450a4d424","date_created":"2018-12-12T10:17:22Z","file_id":"5276","date_updated":"2020-07-14T12:44:56Z","creator":"system","access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"publication":"New Journal of Physics","citation":{"ieee":"R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” <i>New Journal of Physics</i>, vol. 18, no. 3. IOP Publishing Ltd., 2016.","chicago":"Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” <i>New Journal of Physics</i>. IOP Publishing Ltd., 2016. <a href=\"https://doi.org/10.1088/1367-2630/18/3/035002\">https://doi.org/10.1088/1367-2630/18/3/035002</a>.","ama":"Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. <i>New Journal of Physics</i>. 2016;18(3). doi:<a href=\"https://doi.org/10.1088/1367-2630/18/3/035002\">10.1088/1367-2630/18/3/035002</a>","ista":"Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002.","mla":"Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” <i>New Journal of Physics</i>, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:<a href=\"https://doi.org/10.1088/1367-2630/18/3/035002\">10.1088/1367-2630/18/3/035002</a>.","short":"R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).","apa":"Seiringer, R., &#38; Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. <i>New Journal of Physics</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1088/1367-2630/18/3/035002\">https://doi.org/10.1088/1367-2630/18/3/035002</a>"},"project":[{"grant_number":"P27533_N27","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"pubrep_id":"579","has_accepted_license":"1","scopus_import":1,"issue":"3","abstract":[{"lang":"eng","text":"We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Moreover, there is no Bose-Einstein condensation and no superfluidity, even at zero temperature."}],"day":"29","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"oa_version":"Published Version","publication_status":"published","date_updated":"2021-01-12T06:51:01Z","status":"public"},{"publication":"Journal of Mathematical Physics","volume":57,"title":"The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties","month":"02","quality_controlled":"1","publist_id":"5701","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1511.01995"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","issue":"2","scopus_import":1,"intvolume":"        57","date_created":"2018-12-11T11:52:18Z","article_number":"021101","citation":{"ieee":"C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” <i>Journal of Mathematical Physics</i>, vol. 57, no. 2. American Institute of Physics, 2016.","chicago":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2016. <a href=\"https://doi.org/10.1063/1.4941723\">https://doi.org/10.1063/1.4941723</a>.","ama":"Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. <i>Journal of Mathematical Physics</i>. 2016;57(2). doi:<a href=\"https://doi.org/10.1063/1.4941723\">10.1063/1.4941723</a>","apa":"Hainzl, C., &#38; Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4941723\">https://doi.org/10.1063/1.4941723</a>","ista":"Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.","mla":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” <i>Journal of Mathematical Physics</i>, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:<a href=\"https://doi.org/10.1063/1.4941723\">10.1063/1.4941723</a>.","short":"C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016)."},"department":[{"_id":"RoSe"}],"publication_status":"published","date_published":"2016-02-24T00:00:00Z","oa_version":"Preprint","day":"24","abstract":[{"text":"We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers, partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime.","lang":"eng"}],"author":[{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"oa":1,"_id":"1486","status":"public","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1063/1.4941723","publisher":"American Institute of Physics","date_updated":"2021-01-12T06:51:04Z","year":"2016"},{"date_updated":"2021-01-12T06:51:07Z","status":"public","day":"01","oa_version":"Submitted Version","publication_status":"published","page":"6131 - 6157","abstract":[{"lang":"eng","text":"We study the ground state of a trapped Bose gas, starting from the full many-body Schrödinger Hamiltonian, and derive the non-linear Schrödinger energy functional in the limit of a large particle number, when the interaction potential converges slowly to a Dirac delta function. Our method is based on quantitative estimates on the discrepancy between the full many-body energy and its mean-field approximation using Hartree states. These are proved using finite dimensional localization and a quantitative version of the quantum de Finetti theorem. Our approach covers the case of attractive interactions in the regime of stability. In particular, our main new result is a derivation of the 2D attractive non-linear Schrödinger ground state."}],"citation":{"ama":"Lewin M, Nam P, Rougerie N. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. <i>Transactions of the American Mathematical Society</i>. 2016;368(9):6131-6157. doi:<a href=\"https://doi.org/10.1090/tran/6537\">10.1090/tran/6537</a>","ista":"Lewin M, Nam P, Rougerie N. 2016. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. 368(9), 6131–6157.","mla":"Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” <i>Transactions of the American Mathematical Society</i>, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57, doi:<a href=\"https://doi.org/10.1090/tran/6537\">10.1090/tran/6537</a>.","short":"M. Lewin, P. Nam, N. Rougerie, Transactions of the American Mathematical Society 368 (2016) 6131–6157.","apa":"Lewin, M., Nam, P., &#38; Rougerie, N. (2016). The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. <i>Transactions of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/tran/6537\">https://doi.org/10.1090/tran/6537</a>","ieee":"M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases,” <i>Transactions of the American Mathematical Society</i>, vol. 368, no. 9. American Mathematical Society, pp. 6131–6157, 2016.","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” <i>Transactions of the American Mathematical Society</i>. American Mathematical Society, 2016. <a href=\"https://doi.org/10.1090/tran/6537\">https://doi.org/10.1090/tran/6537</a>."},"scopus_import":1,"issue":"9","main_file_link":[{"url":"http://arxiv.org/abs/1405.3220","open_access":"1"}],"publication":"Transactions of the American Mathematical Society","title":"The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases","doi":"10.1090/tran/6537","language":[{"iso":"eng"}],"year":"2016","publisher":"American Mathematical Society","type":"journal_article","author":[{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"full_name":"Nam, Phan","first_name":"Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Nicolas","full_name":"Rougerie, Nicolas","last_name":"Rougerie"}],"_id":"1491","oa":1,"date_published":"2016-01-01T00:00:00Z","date_created":"2018-12-11T11:52:20Z","acknowledgement":"The authors acknowledge financial support from the European Research Council (FP7/2007-2013 Grant Agreement MNIQS 258023) and the ANR (Mathostaq project, ANR-13-JS01-0005-01). The second and third authors have benefited from the hospitality of the Institute for Mathematical Science of the National University of Singapore.","department":[{"_id":"RoSe"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","intvolume":"       368","month":"01","publist_id":"5692","quality_controlled":"1","volume":368},{"publication":"Mathematical Physics, Analysis and Geometry","title":"A new method and a new scaling for deriving fermionic mean-field dynamics","file":[{"file_name":"IST-2016-514-v1+1_s11040-016-9204-2.pdf","file_size":911310,"checksum":"eb5d2145ef0d377c4f78bf06e18f4529","file_id":"5246","date_created":"2018-12-12T10:16:55Z","date_updated":"2020-07-14T12:44:58Z","creator":"system","access_level":"open_access","content_type":"application/pdf","relation":"main_file"}],"scopus_import":1,"issue":"1","has_accepted_license":"1","pubrep_id":"514","citation":{"chicago":"Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11040-016-9204-2\">https://doi.org/10.1007/s11040-016-9204-2</a>.","ieee":"S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic mean-field dynamics,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 19, no. 1. Springer, 2016.","ista":"Petrat SP, Pickl P. 2016. A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. 19(1), 3.","apa":"Petrat, S. P., &#38; Pickl, P. (2016). A new method and a new scaling for deriving fermionic mean-field dynamics. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-016-9204-2\">https://doi.org/10.1007/s11040-016-9204-2</a>","short":"S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).","mla":"Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 19, no. 1, 3, Springer, 2016, doi:<a href=\"https://doi.org/10.1007/s11040-016-9204-2\">10.1007/s11040-016-9204-2</a>.","ama":"Petrat SP, Pickl P. A new method and a new scaling for deriving fermionic mean-field dynamics. <i>Mathematical Physics, Analysis and Geometry</i>. 2016;19(1). doi:<a href=\"https://doi.org/10.1007/s11040-016-9204-2\">10.1007/s11040-016-9204-2</a>"},"project":[{"call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"publication_status":"published","oa_version":"Published Version","abstract":[{"text":"We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock equations as an effective mean-field dynamics from the microscopic Schrödinger equation for fermionic many-particle systems in quantum mechanics. The method is an adaption of the method used in Pickl (Lett. Math. Phys. 97 (2) 151–164 2011) for bosonic systems to fermionic systems. It is based on a Gronwall type estimate for a suitable measure of distance between the microscopic solution and an antisymmetrized product state. We use this method to treat a new mean-field limit for fermions with long-range interactions in a large volume. Some of our results hold for singular attractive or repulsive interactions. We can also treat Coulomb interaction assuming either a mild singularity cutoff or certain regularity conditions on the solutions to the Hartree(-Fock) equations. In the considered limit, the kinetic and interaction energy are of the same order, while the average force is subleading. For some interactions, we prove that the Hartree(-Fock) dynamics is a more accurate approximation than a simpler dynamics that one would expect from the subleading force. With our method we also treat the mean-field limit coupled to a semiclassical limit, which was discussed in the literature before, and we recover some of the previous results. All results hold for initial data close (but not necessarily equal) to antisymmetrized product states and we always provide explicit rates of convergence.","lang":"eng"}],"ec_funded":1,"status":"public","date_updated":"2021-01-12T06:51:08Z","volume":19,"month":"03","publist_id":"5690","quality_controlled":"1","file_date_updated":"2020-07-14T12:44:58Z","ddc":["510","530"],"article_processing_charge":"Yes (via OA deal)","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"        19","date_created":"2018-12-11T11:52:20Z","article_number":"3","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","department":[{"_id":"RoSe"}],"date_published":"2016-03-01T00:00:00Z","author":[{"orcid":"0000-0002-9166-5889","last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","first_name":"Sören P"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"}],"_id":"1493","oa":1,"type":"journal_article","doi":"10.1007/s11040-016-9204-2","language":[{"iso":"eng"}],"year":"2016","publisher":"Springer"},{"oa_version":"Submitted Version","publication_status":"published","page":"4340 - 4368","day":"01","ec_funded":1,"abstract":[{"text":"We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute.","lang":"eng"}],"status":"public","date_updated":"2021-01-12T06:51:30Z","publication":"Journal of Functional Analysis","title":"Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations","main_file_link":[{"url":"http://arxiv.org/abs/1508.07321","open_access":"1"}],"issue":"11","scopus_import":1,"project":[{"grant_number":"291734","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27"}],"citation":{"ieee":"P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations,” <i>Journal of Functional Analysis</i>, vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016.","chicago":"Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” <i>Journal of Functional Analysis</i>. Academic Press, 2016. <a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">https://doi.org/10.1016/j.jfa.2015.12.007</a>.","ama":"Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. <i>Journal of Functional Analysis</i>. 2016;270(11):4340-4368. doi:<a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">10.1016/j.jfa.2015.12.007</a>","mla":"Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” <i>Journal of Functional Analysis</i>, vol. 270, no. 11, Academic Press, 2016, pp. 4340–68, doi:<a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">10.1016/j.jfa.2015.12.007</a>.","ista":"Nam P, Napiórkowski MM, Solovej J. 2016. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 270(11), 4340–4368.","short":"P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270 (2016) 4340–4368.","apa":"Nam, P., Napiórkowski, M. M., &#38; Solovej, J. (2016). Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. <i>Journal of Functional Analysis</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">https://doi.org/10.1016/j.jfa.2015.12.007</a>"},"date_published":"2016-06-01T00:00:00Z","author":[{"last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","full_name":"Nam, Phan"},{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"oa":1,"_id":"1545","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2015.12.007","publisher":"Academic Press","year":"2016","volume":270,"month":"06","quality_controlled":"1","publist_id":"5626","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","intvolume":"       270","date_created":"2018-12-11T11:52:38Z","acknowledgement":"We thank Jan Dereziński for several inspiring discussions and useful remarks. We thank the referee for helpful comments. J.P.S. thanks the Erwin Schrödinger Institute for the hospitality during the thematic programme “Quantum many-body systems, random matrices, and disorder”. We gratefully acknowledge the financial supports by the European Union's Seventh Framework Programme under the ERC Advanced Grant ERC-2012-AdG 321029 (J.P.S.) and the REA grant agreement No. 291734 (P.T.N.), as well as the support of the National Science Center (NCN) grant No. 2012/07/N/ST1/03185 and the Austrian Science Fund (FWF) project No. P 27533-N27 (M.N.).","department":[{"_id":"RoSe"}]},{"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:51:56Z","intvolume":"       106","ddc":["510","530"],"article_processing_charge":"Yes (via OA deal)","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2020-07-14T12:44:53Z","quality_controlled":"1","publist_id":"5785","month":"07","volume":106,"publisher":"Springer","year":"2016","language":[{"iso":"eng"}],"doi":"10.1007/s11005-016-0847-5","type":"journal_article","oa":1,"_id":"1422","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"date_published":"2016-07-01T00:00:00Z","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"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>.","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.","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>","short":"R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.","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>.","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.","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>"},"pubrep_id":"591","has_accepted_license":"1","issue":"7","scopus_import":1,"file":[{"file_size":458968,"file_name":"IST-2016-591-v1+1_s11005-016-0847-5.pdf","date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-12T10:15:57Z","checksum":"fb404923d8ca9a1faeb949561f26cbea","file_id":"5181","creator":"system","relation":"main_file","content_type":"application/pdf","access_level":"open_access"}],"title":"Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations","publication":"Letters in Mathematical Physics","date_updated":"2021-01-12T06:50:38Z","status":"public","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"}],"publication_status":"published","page":"913 - 923","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"01"},{"has_accepted_license":"1","scopus_import":1,"issue":"1","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 Ltd.; 2016. doi:<a href=\"https://doi.org/10.1088/1742-6596/691/1/012016\">10.1088/1742-6596/691/1/012016</a>","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 Ltd., 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 Ltd. <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 Ltd., 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.","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.","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 Ltd., 2016. <a href=\"https://doi.org/10.1088/1742-6596/691/1/012016\">https://doi.org/10.1088/1742-6596/691/1/012016</a>."},"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"}],"pubrep_id":"585","title":"Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential","file":[{"date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-12T10:10:55Z","file_id":"4847","checksum":"109db801749072c3f6c8f1a1848700fa","file_size":1434688,"file_name":"IST-2016-585-v1+1_JPCS_691_1_012016.pdf","content_type":"application/pdf","relation":"main_file","access_level":"open_access","creator":"system"}],"publication":"Journal of Physics: Conference Series","status":"public","date_updated":"2021-01-12T06:50:40Z","abstract":[{"lang":"eng","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."}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"07","publication_status":"published","oa_version":"Published Version","intvolume":"       691","conference":{"location":"Shanghai, China","name":"24th International Laser Physics Workshop (LPHYS'15)","start_date":"2015-08-21","end_date":"2015-08-25"},"file_date_updated":"2020-07-14T12:44:53Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","ddc":["510","530"],"department":[{"_id":"RoSe"}],"article_number":"012016","date_created":"2018-12-11T11:51:58Z","volume":691,"publist_id":"5770","quality_controlled":"1","month":"03","type":"conference","year":"2016","publisher":"IOP Publishing Ltd.","doi":"10.1088/1742-6596/691/1/012016","language":[{"iso":"eng"}],"date_published":"2016-03-07T00:00:00Z","_id":"1428","oa":1,"author":[{"first_name":"Martin","full_name":"Könenberg, Martin","last_name":"Könenberg"},{"first_name":"Thomas","full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"},{"last_name":"Yngvason","full_name":"Yngvason, Jakob","first_name":"Jakob"}]},{"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"}],"citation":{"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>","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.","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>.","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>","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).","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.","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>."},"pubrep_id":"702","has_accepted_license":"1","issue":"2","scopus_import":1,"title":"Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit","file":[{"creator":"system","access_level":"open_access","content_type":"application/pdf","relation":"main_file","file_name":"IST-2016-702-v1+1_s11040-016-9209-x.pdf","file_size":506242,"checksum":"9954f685cc25c58d7f1712c67b47ad8d","date_created":"2018-12-12T10:09:13Z","file_id":"4736","date_updated":"2020-07-14T12:44:42Z"}],"publication":"Mathematical Physics, Analysis and Geometry","date_updated":"2021-01-12T06:49:27Z","status":"public","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."}],"publication_status":"published","oa_version":"Published Version","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"department":[{"_id":"RoSe"}],"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.","article_number":"13","date_created":"2018-12-11T11:50:59Z","intvolume":"        19","article_processing_charge":"Yes (via OA deal)","ddc":["510","539"],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2020-07-14T12:44:42Z","quality_controlled":"1","publist_id":"6066","month":"06","volume":19,"publisher":"Springer","year":"2016","language":[{"iso":"eng"}],"doi":"10.1007/s11040-016-9209-x","type":"journal_article","oa":1,"_id":"1259","author":[{"full_name":"Bräunlich, Gerhard","first_name":"Gerhard","last_name":"Bräunlich"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"date_published":"2016-06-01T00:00:00Z"},{"type":"journal_article","publisher":"Springer","year":"2016","language":[{"iso":"eng"}],"doi":"10.1007/s11005-016-0860-8","date_published":"2016-08-01T00:00:00Z","oa":1,"_id":"1267","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"first_name":"Phan","full_name":"Nam, Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87"}],"intvolume":"       106","ddc":["510","539"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2020-07-14T12:44:42Z","acknowledgement":"Open access funding provided by Institute of Science and Technology Austria.\r\n","department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:51:02Z","volume":106,"quality_controlled":"1","publist_id":"6054","month":"08","status":"public","date_updated":"2021-01-12T06:49:30Z","abstract":[{"lang":"eng","text":"We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result."}],"publication_status":"published","page":"1033 - 1036","oa_version":"Published Version","day":"01","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"has_accepted_license":"1","issue":"8","scopus_import":1,"project":[{"call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"ama":"Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model. <i>Letters in Mathematical Physics</i>. 2016;106(8):1033-1036. doi:<a href=\"https://doi.org/10.1007/s11005-016-0860-8\">10.1007/s11005-016-0860-8</a>","ista":"Frank R, Killip R, Nam P. 2016. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 106(8), 1033–1036.","apa":"Frank, R., Killip, R., &#38; Nam, P. (2016). Nonexistence of large nuclei in the liquid drop model. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0860-8\">https://doi.org/10.1007/s11005-016-0860-8</a>","mla":"Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.” <i>Letters in Mathematical Physics</i>, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:<a href=\"https://doi.org/10.1007/s11005-016-0860-8\">10.1007/s11005-016-0860-8</a>.","short":"R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036.","ieee":"R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid drop model,” <i>Letters in Mathematical Physics</i>, vol. 106, no. 8. Springer, pp. 1033–1036, 2016.","chicago":"Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” <i>Letters in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11005-016-0860-8\">https://doi.org/10.1007/s11005-016-0860-8</a>."},"pubrep_id":"698","title":"Nonexistence of large nuclei in the liquid drop model","file":[{"creator":"system","access_level":"open_access","content_type":"application/pdf","relation":"main_file","file_name":"IST-2016-698-v1+1_s11005-016-0860-8.pdf","file_size":349464,"file_id":"4863","date_created":"2018-12-12T10:11:09Z","checksum":"d740a6a226e0f5f864f40e3e269d3cc0","date_updated":"2020-07-14T12:44:42Z"}],"publication":"Letters in Mathematical Physics"},{"publication":"Communications in Mathematical Physics","title":"Periodic striped ground states in Ising models with competing interactions","file":[{"creator":"system","access_level":"open_access","content_type":"application/pdf","relation":"main_file","file_name":"IST-2016-688-v1+1_s00220-016-2665-0.pdf","file_size":794983,"file_id":"4725","checksum":"3c6e08c048fc462e312788be72874bb1","date_created":"2018-12-12T10:09:02Z","date_updated":"2020-07-14T12:44:42Z"}],"pubrep_id":"688","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"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"ista":"Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.","mla":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” <i>Communications in Mathematical Physics</i>, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:<a href=\"https://doi.org/10.1007/s00220-016-2665-0\">10.1007/s00220-016-2665-0</a>.","apa":"Giuliani, A., &#38; Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-016-2665-0\">https://doi.org/10.1007/s00220-016-2665-0</a>","short":"A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.","ama":"Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. <i>Communications in Mathematical Physics</i>. 2016;347(3):983-1007. doi:<a href=\"https://doi.org/10.1007/s00220-016-2665-0\">10.1007/s00220-016-2665-0</a>","chicago":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” <i>Communications in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s00220-016-2665-0\">https://doi.org/10.1007/s00220-016-2665-0</a>.","ieee":"A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” <i>Communications in Mathematical Physics</i>, vol. 347, no. 3. Springer, pp. 983–1007, 2016."},"issue":"3","scopus_import":1,"has_accepted_license":"1","page":"983 - 1007","oa_version":"Published Version","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"01","abstract":[{"lang":"eng","text":"We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p &gt; 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity."}],"date_updated":"2021-01-12T06:49:40Z","status":"public","month":"11","quality_controlled":"1","publist_id":"6025","volume":347,"date_created":"2018-12-11T11:51:11Z","department":[{"_id":"RoSe"}],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The\r\nresearch leading to these results has received funding from the European Research Council under the European\r\nUnion’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN National Grant Geometric and analytic theory of Hamiltonian systems in finite and infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27. Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems, random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully acknowledged.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["510","530"],"file_date_updated":"2020-07-14T12:44:42Z","intvolume":"       347","author":[{"last_name":"Giuliani","first_name":"Alessandro","full_name":"Giuliani, Alessandro"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert"}],"oa":1,"_id":"1291","date_published":"2016-11-01T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.1007/s00220-016-2665-0","publisher":"Springer","year":"2016","type":"journal_article"},{"oa":1,"_id":"1704","author":[{"first_name":"Andreas","full_name":"Deuchert, Andreas","last_name":"Deuchert","orcid":"0000-0003-3146-6746"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"date_published":"2015-08-05T00:00:00Z","publisher":"Springer","year":"2015","language":[{"iso":"eng"}],"doi":"10.1007/s11005-015-0787-5","type":"journal_article","quality_controlled":"1","publist_id":"5432","month":"08","volume":105,"department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:53:34Z","intvolume":"       105","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["510"],"file_date_updated":"2020-07-14T12:45:13Z","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"}],"oa_version":"Preprint","page":"1449 - 1466","publication_status":"published","day":"05","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","short":"CC BY-NC (4.0)","image":"/images/cc_by_nc.png"},"date_updated":"2021-01-12T06:52:38Z","license":"https://creativecommons.org/licenses/by-nc/4.0/","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1502.07205","open_access":"1"}],"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","creator":"dernst","date_updated":"2020-07-14T12:45:13Z","date_created":"2019-01-15T14:42:07Z","file_id":"5836","checksum":"fd7307282a314cc1fbbaef77b187516b","file_size":484967,"file_name":"2015_LettersMathPhys_Deuchert.pdf"}],"title":"Note on a family of monotone quantum relative entropies","publication":"Letters in Mathematical Physics","citation":{"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.","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.","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>","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>","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>.","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."},"has_accepted_license":"1","issue":"10","scopus_import":1},{"language":[{"iso":"eng"}],"doi":"10.1051/cocv/2014040","date_updated":"2021-01-12T06:53:20Z","publisher":"EDP Sciences","year":"2015","status":"public","type":"journal_article","author":[{"last_name":"Goldman","first_name":"Michael","full_name":"Goldman, Michael"},{"first_name":"Jimena","full_name":"Royo-Letelier, Jimena","last_name":"Royo-Letelier","id":"4D3BED28-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"_id":"1807","oa_version":"Preprint","date_published":"2015-05-01T00:00:00Z","publication_status":"published","page":"603 - 624","day":"01","abstract":[{"lang":"eng","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."}],"date_created":"2018-12-11T11:54:07Z","department":[{"_id":"RoSe"}],"citation":{"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.","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>.","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>","short":"M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus of Variations 21 (2015) 603–624.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"3","scopus_import":1,"intvolume":"        21","month":"05","quality_controlled":"1","main_file_link":[{"url":"http://arxiv.org/abs/1401.1727","open_access":"1"}],"publist_id":"5303","publication":"ESAIM - Control, Optimisation and Calculus of Variations","volume":21,"title":"Sharp interface limit for two components Bose-Einstein condensates"},{"date_updated":"2021-01-12T06:53:48Z","status":"public","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"}],"day":"15","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"oa_version":"Published Version","publication_status":"published","citation":{"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 Ltd., 2015. <a href=\"https://doi.org/10.1088/1367-2630/17/1/013022\">https://doi.org/10.1088/1367-2630/17/1/013022</a>.","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 Ltd., 2015.","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 Ltd., 2015, doi:<a href=\"https://doi.org/10.1088/1367-2630/17/1/013022\">10.1088/1367-2630/17/1/013022</a>.","short":"M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (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 Ltd. <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.","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>"},"project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"pubrep_id":"447","has_accepted_license":"1","scopus_import":1,"title":"Superfluid behavior of a Bose-Einstein condensate in a random potential","file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","creator":"system","checksum":"38fdf2b5ac30445e26a5d613abd84b16","file_id":"4963","date_created":"2018-12-12T10:12:44Z","date_updated":"2020-07-14T12:45:20Z","file_name":"IST-2016-447-v1+1_document_1_.pdf","file_size":768108}],"publication":"New Journal of Physics","year":"2015","publisher":"IOP Publishing Ltd.","doi":"10.1088/1367-2630/17/1/013022","language":[{"iso":"eng"}],"type":"journal_article","_id":"1880","oa":1,"author":[{"first_name":"Martin","full_name":"Könenberg, Martin","last_name":"Könenberg"},{"first_name":"Thomas","full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"date_published":"2015-01-15T00:00:00Z","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","department":[{"_id":"RoSe"}],"article_number":"013022","date_created":"2018-12-11T11:54:30Z","intvolume":"        17","file_date_updated":"2020-07-14T12:45:20Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["530"],"publist_id":"5214","quality_controlled":"1","month":"01","volume":17},{"date_created":"2018-12-11T11:55:37Z","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>","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>","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.","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>.","short":"P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 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.","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>."},"department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"2","scopus_import":1,"intvolume":"       215","month":"02","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1402.1153"}],"publist_id":"4951","publication":"Archive for Rational Mechanics and Analysis","volume":215,"title":"Collective excitations of Bose gases in the mean-field regime","language":[{"iso":"eng"}],"doi":"10.1007/s00205-014-0781-6","date_updated":"2021-01-12T06:55:13Z","publisher":"Springer","year":"2015","status":"public","type":"journal_article","author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","first_name":"Phan","full_name":"Nam, Phan"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"oa":1,"_id":"2085","oa_version":"Preprint","publication_status":"published","date_published":"2015-02-01T00:00:00Z","page":"381 - 417","day":"01","abstract":[{"lang":"eng","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. "}]}]