[{"oa":1,"publisher":"Mathematical Sciences Publishers","quality_controlled":"1","page":"35-73","date_created":"2024-01-28T23:01:44Z","doi":"10.2140/paa.2020.2.35","date_published":"2020-01-01T00:00:00Z","year":"2020","publication":"Pure and Applied Analysis","day":"01","article_processing_charge":"No","external_id":{"arxiv":["1903.04046"]},"author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":" The local density approximation in density functional theory","citation":{"ista":"Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35.","ama":"Lewin M, Lieb EH, Seiringer R. The local density approximation in density functional theory. Pure and Applied Analysis. 2020;2(1):35-73. doi:10.2140/paa.2020.2.35","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2020). The local density approximation in density functional theory. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2020.2.35","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation in density functional theory,” Pure and Applied Analysis, vol. 2, no. 1. Mathematical Sciences Publishers, pp. 35–73, 2020.","mla":"Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1903.04046","open_access":"1"}],"scopus_import":"1","intvolume":" 2","month":"01","abstract":[{"lang":"eng","text":"We give the first mathematically rigorous justification of the local density approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy–Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the uniform electron gas energy of this density. The error involves gradient terms and justifies the use of the local density approximation in the situation where the density is very flat on sufficiently large regions in space."}],"oa_version":"Preprint","volume":2,"issue":"1","publication_status":"published","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","status":"public","_id":"14891","department":[{"_id":"RoSe"}],"date_updated":"2024-01-29T09:01:12Z"},{"department":[{"_id":"RoSe"}],"date_updated":"2024-02-22T13:33:02Z","status":"public","article_type":"original","type":"journal_article","_id":"6906","volume":376,"ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"publication_status":"published","month":"06","intvolume":" 376","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1812.03086","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential."}],"title":"Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime","author":[{"full_name":"Boccato, Chiara","last_name":"Boccato","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara"},{"first_name":"Christian","last_name":"Brennecke","full_name":"Brennecke, Christian"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"external_id":{"arxiv":["1812.03086"],"isi":["000536053300012"]},"article_processing_charge":"No","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications in Mathematical Physics, vol. 376. Springer, pp. 1311–1395, 2020.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics 376 (2020) 1311–1395.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-019-03555-9","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 2020;376:1311-1395. doi:10.1007/s00220-019-03555-9","mla":"Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, vol. 376, Springer, 2020, pp. 1311–95, doi:10.1007/s00220-019-03555-9.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 376, 1311–1395.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics. Springer, 2020. https://doi.org/10.1007/s00220-019-03555-9."},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"date_published":"2020-06-01T00:00:00Z","doi":"10.1007/s00220-019-03555-9","date_created":"2019-09-24T17:30:59Z","page":"1311-1395","day":"01","publication":"Communications in Mathematical Physics","isi":1,"year":"2020","publisher":"Springer","quality_controlled":"1","oa":1,"acknowledgement":"We would like to thank P. T. Nam and R. Seiringer for several useful discussions and\r\nfor suggesting us to use the localization techniques from [9]. C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges support from the NCCR SwissMAP and from the Swiss National Foundation of Science (Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties of Bose–Einstein condensates”."},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.","ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” Oberwolfach Reports, vol. 16, no. 3. European Mathematical Society, pp. 2541–2603, 2020.","apa":"Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2020). Many-body quantum systems. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/41","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach Reports. 2020;16(3):2541-2603. doi:10.4171/owr/2019/41","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41.","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” Oberwolfach Reports. European Mathematical Society, 2020. https://doi.org/10.4171/owr/2019/41."},"date_updated":"2024-03-12T12:02:00Z","department":[{"_id":"RoSe"}],"title":"Many-body quantum systems","author":[{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Simone","last_name":"Warzel","full_name":"Warzel, Simone"}],"article_processing_charge":"No","_id":"15072","status":"public","article_type":"original","type":"journal_article","day":"10","publication":"Oberwolfach Reports","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1660-8933"]},"publication_status":"published","year":"2020","doi":"10.4171/owr/2019/41","issue":"3","volume":16,"date_published":"2020-09-10T00:00:00Z","date_created":"2024-03-04T11:46:12Z","page":"2541-2603","oa_version":"None","abstract":[{"text":"The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions.","lang":"eng"}],"month":"09","intvolume":" 16","publisher":"European Mathematical Society","quality_controlled":"1"},{"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 2019;368(2):723-776. doi:10.1007/s00220-018-3239-0","apa":"Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0","short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019."},"title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","publist_id":"7974","author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Yngvason","full_name":"Yngvason, Jakob","first_name":"Jakob"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000467796800007"]},"publisher":"Springer","quality_controlled":"1","oa":1,"day":"01","publication":"Communications in Mathematical Physics","isi":1,"has_accepted_license":"1","year":"2019","date_published":"2019-06-01T00:00:00Z","doi":"10.1007/s00220-018-3239-0","date_created":"2018-12-11T11:44:31Z","page":"723-776","_id":"80","status":"public","article_type":"original","type":"journal_article","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)"},"ddc":["530"],"date_updated":"2023-08-24T14:27:51Z","file_date_updated":"2020-07-14T12:48:07Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","abstract":[{"text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer.","lang":"eng"}],"month":"06","intvolume":" 368","scopus_import":"1","file":[{"file_name":"2018_CommunMathPhys_Deuchert.pdf","date_created":"2018-12-17T10:34:06Z","file_size":893902,"date_updated":"2020-07-14T12:48:07Z","creator":"dernst","file_id":"5688","checksum":"c7e9880b43ac726712c1365e9f2f73a6","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"language":[{"iso":"eng"}],"publication_status":"published","issue":"2","volume":368,"license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1},{"file_date_updated":"2020-07-14T12:47:40Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-08-29T07:09:06Z","status":"public","article_type":"original","type":"journal_article","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)"},"_id":"6788","issue":"10","volume":20,"ec_funded":1,"file":[{"checksum":"b6dbf0d837d809293d449adf77138904","file_id":"6801","content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2019-08-12T12:05:58Z","file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","date_updated":"2020-07-14T12:47:40Z","file_size":681139,"creator":"dernst"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1424-0661"],"issn":["1424-0637"]},"publication_status":"published","month":"10","intvolume":" 20","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations."}],"title":"Mean-field dynamics for the Nelson model with fermions","author":[{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","last_name":"Petrat","first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000487036900008"],"arxiv":["1807.06781"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508.","chicago":"Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare. Springer Nature, 2019. https://doi.org/10.1007/s00023-019-00828-w.","apa":"Leopold, N. K., & Petrat, S. P. (2019). Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-019-00828-w","ama":"Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 2019;20(10):3471–3508. doi:10.1007/s00023-019-00828-w","ieee":"N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” Annales Henri Poincare, vol. 20, no. 10. Springer Nature, pp. 3471–3508, 2019.","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","mla":"Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare, vol. 20, no. 10, Springer Nature, 2019, pp. 3471–3508, doi:10.1007/s00023-019-00828-w."},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"date_published":"2019-10-01T00:00:00Z","doi":"10.1007/s00023-019-00828-w","date_created":"2019-08-11T21:59:21Z","page":"3471–3508","day":"01","publication":"Annales Henri Poincare","isi":1,"has_accepted_license":"1","year":"2019","publisher":"Springer Nature","quality_controlled":"1","oa":1},{"date_published":"2019-06-13T00:00:00Z","doi":"10.1088/1742-5468/ab190d","date_created":"2019-09-01T22:00:59Z","isi":1,"year":"2019","day":"13","publication":"Journal of Statistical Mechanics: Theory and Experiment","quality_controlled":"1","publisher":"IOP Publishing","oa":1,"author":[{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy"},{"first_name":"Marek","last_name":"Napiórkowski","full_name":"Napiórkowski, Marek"}],"article_processing_charge":"No","external_id":{"arxiv":["1810.02209"],"isi":["000471650100001"]},"title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","citation":{"chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing, 2019. https://doi.org/10.1088/1742-5468/ab190d.","ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:10.1088/1742-5468/ab190d.","ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019;2019(6). doi:10.1088/1742-5468/ab190d","apa":"Mysliwy, K., & Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab190d","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6. IOP Publishing, 2019.","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019)."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"International IST Doctoral Program","grant_number":"665385"}],"article_number":"063101","issue":"6","volume":2019,"ec_funded":1,"publication_identifier":{"eissn":["1742-5468"]},"publication_status":"published","language":[{"iso":"eng"}],"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02209"}],"month":"06","intvolume":" 2019","abstract":[{"text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases.","lang":"eng"}],"oa_version":"Preprint","department":[{"_id":"RoSe"}],"date_updated":"2023-08-29T07:19:13Z","type":"journal_article","status":"public","_id":"6840"},{"scopus_import":"1","month":"11","intvolume":" 372","abstract":[{"text":"We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting froman interacting N-particle system of bosons. We consider the interaction potential to be given either by Wβ(x)=N−1+2βW(Nβx), for any β>0, or to be given by VN(x)=e2NV(eNx), for some spherical symmetric, nonnegative and compactly supported W,V∈L∞(R2,R). In both cases we prove the convergence of the reduced density corresponding to the exact time evolution to the projector onto the solution of the corresponding nonlinear Schrödinger equation in trace norm. For the latter potential VN we show that it is crucial to take the microscopic structure of the condensate into account in order to obtain the correct dynamics.","lang":"eng"}],"oa_version":"Published Version","issue":"1","volume":372,"ec_funded":1,"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"publication_status":"published","file":[{"file_name":"2019_CommMathPhys_Jeblick.pdf","date_created":"2019-11-25T08:11:11Z","creator":"dernst","file_size":884469,"date_updated":"2020-07-14T12:47:49Z","file_id":"7101","checksum":"cd283b475dd739e04655315abd46f528","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","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)"},"status":"public","_id":"7100","file_date_updated":"2020-07-14T12:47:49Z","department":[{"_id":"RoSe"}],"date_updated":"2023-09-06T10:47:43Z","ddc":["510"],"publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"OA fund by IST Austria","page":"1-69","doi":"10.1007/s00220-019-03599-x","date_published":"2019-11-08T00:00:00Z","date_created":"2019-11-25T08:08:02Z","has_accepted_license":"1","isi":1,"year":"2019","day":"08","publication":"Communications in Mathematical Physics","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"author":[{"last_name":"Jeblick","full_name":"Jeblick, Maximilian","first_name":"Maximilian"},{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"}],"external_id":{"isi":["000495193700002"]},"article_processing_charge":"Yes (via OA deal)","title":"Derivation of the time dependent Gross–Pitaevskii equation in two dimensions","citation":{"chicago":"Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03599-x.","ista":"Jeblick M, Leopold NK, Pickl P. 2019. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 372(1), 1–69.","mla":"Jeblick, Maximilian, et al. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics, vol. 372, no. 1, Springer Nature, 2019, pp. 1–69, doi:10.1007/s00220-019-03599-x.","ieee":"M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent Gross–Pitaevskii equation in two dimensions,” Communications in Mathematical Physics, vol. 372, no. 1. Springer Nature, pp. 1–69, 2019.","short":"M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69.","apa":"Jeblick, M., Leopold, N. K., & Pickl, P. (2019). Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03599-x","ama":"Jeblick M, Leopold NK, Pickl P. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 2019;372(1):1-69. doi:10.1007/s00220-019-03599-x"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"department":[{"_id":"RoSe"}],"date_updated":"2023-09-06T15:24:31Z","status":"public","type":"journal_article","article_type":"original","_id":"7413","volume":222,"issue":"2","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1871-2509"],"issn":["0001-5962"]},"intvolume":" 222","month":"06","main_file_link":[{"url":"https://arxiv.org/abs/1801.01389","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions."}],"title":"Bogoliubov theory in the Gross–Pitaevskii limit","article_processing_charge":"No","external_id":{"arxiv":["1801.01389"],"isi":["000495865300001"]},"author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","full_name":"Boccato, Chiara","last_name":"Boccato"},{"first_name":"Christian","full_name":"Brennecke, Christian","last_name":"Brennecke"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica. International Press of Boston, 2019. https://doi.org/10.4310/acta.2019.v222.n2.a1.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” Acta Mathematica, vol. 222, no. 2. International Press of Boston, pp. 219–335, 2019.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 2019;222(2):219-335. doi:10.4310/acta.2019.v222.n2.a1","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2019). Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. International Press of Boston. https://doi.org/10.4310/acta.2019.v222.n2.a1","mla":"Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica, vol. 222, no. 2, International Press of Boston, 2019, pp. 219–335, doi:10.4310/acta.2019.v222.n2.a1."},"date_created":"2020-01-30T09:30:41Z","doi":"10.4310/acta.2019.v222.n2.a1","date_published":"2019-06-07T00:00:00Z","page":"219-335","publication":"Acta Mathematica","day":"07","year":"2019","isi":1,"oa":1,"publisher":"International Press of Boston","quality_controlled":"1"},{"year":"2019","isi":1,"has_accepted_license":"1","publication":"Annales Henri Poincare","day":"01","page":"1325–1365","date_created":"2019-01-20T22:59:17Z","date_published":"2019-04-01T00:00:00Z","doi":"10.1007/s00023-018-00757-0","oa":1,"publisher":"Springer","quality_controlled":"1","citation":{"ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0","apa":"Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-00757-0","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4. Springer, pp. 1325–1365, 2019.","mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000462444300008"],"arxiv":["1807.00739"]},"author":[{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas","last_name":"Moser"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Energy contribution of a point-interacting impurity in a Fermi gas","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"publication_status":"published","publication_identifier":{"issn":["14240637"]},"language":[{"iso":"eng"}],"file":[{"file_size":859846,"date_updated":"2020-07-14T12:47:12Z","creator":"dernst","file_name":"2019_Annales_Moser.pdf","date_created":"2019-01-28T15:27:17Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","checksum":"255e42f957a8e2b10aad2499c750a8d6","file_id":"5894"}],"ec_funded":1,"volume":20,"issue":"4","related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"abstract":[{"lang":"eng","text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 20","month":"04","date_updated":"2023-09-07T12:37:42Z","ddc":["530"],"file_date_updated":"2020-07-14T12:47:12Z","department":[{"_id":"RoSe"}],"_id":"5856","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)"},"article_type":"original","type":"journal_article","status":"public"},{"abstract":[{"lang":"eng","text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$."}],"oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.03372"}],"oa":1,"scopus_import":1,"publisher":"ArXiv","month":"10","publication_status":"draft","year":"2019","publication":"arXiv:1910.03372","language":[{"iso":"eng"}],"day":"08","page":"61","date_created":"2020-02-26T08:46:40Z","ec_funded":1,"date_published":"2019-10-08T00:00:00Z","related_material":{"record":[{"relation":"later_version","id":"7790","status":"public"},{"relation":"dissertation_contains","status":"public","id":"7514"}]},"_id":"7524","type":"preprint","status":"public","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"date_updated":"2023-09-07T13:12:41Z","citation":{"ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372, .","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372.","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372. ArXiv.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"},{"first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"department":[{"_id":"RoSe"}],"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound"},{"external_id":{"isi":["000505529800002"]},"article_processing_charge":"No","author":[{"last_name":"Jaksic","full_name":"Jaksic, Vojkan","first_name":"Vojkan"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018","citation":{"ista":"Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504.","chicago":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).","ieee":"V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics, vol. 60, no. 12. AIP Publishing, 2019.","apa":"Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.5138135","ama":"Jaksic V, Seiringer R. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 2019;60(12). doi:10.1063/1.5138135","mla":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"123504","date_created":"2020-01-05T23:00:46Z","date_published":"2019-12-01T00:00:00Z","doi":"10.1063/1.5138135","year":"2019","isi":1,"has_accepted_license":"1","publication":"Journal of Mathematical Physics","day":"01","oa":1,"publisher":"AIP Publishing","quality_controlled":"1","file_date_updated":"2020-07-14T12:47:54Z","department":[{"_id":"RoSe"}],"date_updated":"2024-02-28T13:01:45Z","ddc":["500"],"type":"journal_article","article_type":"letter_note","status":"public","_id":"7226","volume":60,"issue":"12","publication_status":"published","publication_identifier":{"issn":["00222488"]},"language":[{"iso":"eng"}],"file":[{"date_updated":"2020-07-14T12:47:54Z","file_size":1025015,"creator":"dernst","date_created":"2020-01-07T14:59:13Z","file_name":"2019_JournalMathPhysics_Jaksic.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"7244","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22"}],"scopus_import":"1","intvolume":" 60","month":"12","oa_version":"Published Version"},{"department":[{"_id":"RoSe"}],"date_updated":"2024-02-28T13:13:23Z","type":"journal_article","article_type":"original","status":"public","_id":"7015","ec_funded":1,"volume":100,"issue":"3","publication_status":"published","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1905.09138"}],"scopus_import":"1","intvolume":" 100","month":"07","abstract":[{"lang":"eng","text":"We modify the \"floating crystal\" trial state for the classical homogeneous electron gas (also known as jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The argument is to melt a thin layer of the crystal close to the boundary and consequently replace it by an incompressible fluid. With the aid of this trial state we show that three different definitions of the ground-state energy of jellium coincide. In the first point of view the electrons are placed in a neutralizing uniform background. In the second definition there is no background but the electrons are submitted to the constraint that their density is constant, as is appropriate in density functional theory. Finally, in the third system each electron interacts with a periodic image of itself; that is, periodic boundary conditions are imposed on the interaction potential."}],"oa_version":"Preprint","external_id":{"isi":["000477888200001"],"arxiv":["1905.09138"]},"article_processing_charge":"No","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Floating Wigner crystal with no boundary charge fluctuations","citation":{"ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3. American Physical Society, 2019.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.100.035127","ama":"Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 2019;100(3). doi:10.1103/physrevb.100.035127","mla":"Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:10.1103/physrevb.100.035127.","ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"035127","date_created":"2019-11-13T08:41:48Z","doi":"10.1103/physrevb.100.035127","date_published":"2019-07-25T00:00:00Z","year":"2019","isi":1,"publication":"Physical Review B","day":"25","oa":1,"quality_controlled":"1","publisher":"American Physical Society"},{"type":"conference","conference":{"name":"MaLiQS: Macroscopic Limits of Quantum Systems","start_date":"2017-03-30","end_date":"2017-04-01","location":"Munich, Germany"},"status":"public","_id":"11","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:48:16Z","scopus_import":1,"main_file_link":[{"url":"https://arxiv.org/abs/1806.10843","open_access":"1"}],"month":"10","intvolume":" 270","abstract":[{"text":"We report on a novel strategy to derive mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. The technique combines the method of counting and the coherent state approach to study the growth of the correlations among the particles and in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon system of equations from the Nelson model with ultraviolet cutoff and possibly massless scalar field. In particular, we prove the convergence of the reduced density matrices (of the nonrelativistic particles and the field bosons) associated with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon equations in trace norm. Furthermore, we derive explicit bounds on the rate of convergence of the one-particle reduced density matrix of the nonrelativistic particles in Sobolev norm.","lang":"eng"}],"oa_version":"Preprint","volume":270,"ec_funded":1,"publication_status":"published","language":[{"iso":"eng"}],"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"author":[{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"}],"publist_id":"8045","external_id":{"arxiv":["1806.10843"]},"title":"Mean-field limits of particles in interaction with quantised radiation fields","citation":{"mla":"Leopold, Nikolai K., and Peter Pickl. Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields. Vol. 270, Springer, 2018, pp. 185–214, doi:10.1007/978-3-030-01602-9_9.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.","ieee":"N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214.","ama":"Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised radiation fields. In: Vol 270. Springer; 2018:185-214. doi:10.1007/978-3-030-01602-9_9","apa":"Leopold, N. K., & Pickl, P. (2018). Mean-field limits of particles in interaction with quantised radiation fields (Vol. 270, pp. 185–214). Presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany: Springer. https://doi.org/10.1007/978-3-030-01602-9_9","chicago":"Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. https://doi.org/10.1007/978-3-030-01602-9_9.","ista":"Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems vol. 270, 185–214."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer","quality_controlled":"1","oa":1,"page":"185 - 214","doi":"10.1007/978-3-030-01602-9_9","date_published":"2018-10-27T00:00:00Z","date_created":"2018-12-11T11:44:08Z","year":"2018","day":"27"},{"department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T08:02:35Z","status":"public","type":"journal_article","_id":"554","volume":360,"issue":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["00103616"]},"intvolume":" 360","month":"05","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05953"}],"scopus_import":1,"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"We analyse the canonical Bogoliubov free energy functional in three dimensions at low temperatures in the dilute limit. We prove existence of a first-order phase transition and, in the limit (Formula presented.), we determine the critical temperature to be (Formula presented.) to leading order. Here, (Formula presented.) is the critical temperature of the free Bose gas, ρ is the density of the gas and a is the scattering length of the pair-interaction potential V. We also prove asymptotic expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula in the limit (Formula presented.)."}],"title":"The Bogoliubov free energy functional II: The dilute Limit","external_id":{"arxiv":["1511.05953"]},"author":[{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Reuvers","full_name":"Reuvers, Robin","first_name":"Robin"},{"last_name":"Solovej","full_name":"Solovej, Jan","first_name":"Jan"}],"publist_id":"7260","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s00220-017-3064-x.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” Communications in Mathematical Physics, vol. 360, no. 1. Springer, pp. 347–403, 2018.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-3064-x","ama":"Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional II: The dilute Limit. 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This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm."}],"oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/1706.01822","open_access":"1"}],"scopus_import":"1","intvolume":" 121","month":"01","publication_status":"published","language":[{"iso":"eng"}],"volume":121,"issue":"1","article_number":"10007","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"citation":{"ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL. IOP Publishing Ltd., 2018. https://doi.org/10.1209/0295-5075/121/10007.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL, vol. 121, no. 1. IOP Publishing Ltd., 2018.","ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1). doi:10.1209/0295-5075/121/10007","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 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We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).","oa":1,"publisher":"IOP Publishing Ltd.","quality_controlled":"1","year":"2018","isi":1,"publication":"EPL","day":"01","date_created":"2018-12-11T11:46:15Z","doi":"10.1209/0295-5075/121/10007","date_published":"2018-01-01T00:00:00Z"},{"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"article_processing_charge":"No","external_id":{"arxiv":["1712.06218"],"isi":["000446491500008"]},"author":[{"last_name":"Lundholm","full_name":"Lundholm, Douglas","first_name":"Douglas"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"publist_id":"7586","title":"Fermionic behavior of ideal anyons","citation":{"short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.","ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y","apa":"Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"publisher":"Springer","quality_controlled":"1","acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.","page":"2523-2541","date_created":"2018-12-11T11:45:40Z","doi":"10.1007/s11005-018-1091-y","date_published":"2018-05-11T00:00:00Z","year":"2018","isi":1,"has_accepted_license":"1","publication":"Letters in Mathematical Physics","day":"11","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)"},"type":"journal_article","status":"public","_id":"295","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:55Z","date_updated":"2023-09-11T14:01:57Z","ddc":["510"],"scopus_import":"1","intvolume":" 108","month":"05","abstract":[{"lang":"eng","text":"We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons."}],"oa_version":"Published Version","ec_funded":1,"issue":"11","volume":108,"publication_status":"published","language":[{"iso":"eng"}],"file":[{"file_name":"2018_LettMathPhys_Lundholm.pdf","date_created":"2018-12-17T12:14:17Z","creator":"dernst","file_size":551996,"date_updated":"2020-07-14T12:45:55Z","checksum":"8beb9632fa41bbd19452f55f31286a31","file_id":"5698","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}]},{"oa":1,"publisher":"Springer","quality_controlled":"1","publication":"Annales Henri Poincare","day":"01","year":"2018","isi":1,"has_accepted_license":"1","date_created":"2018-12-11T11:46:15Z","date_published":"2018-05-01T00:00:00Z","doi":"10.1007/s00023-018-0665-7","page":"1507 - 1527","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare. 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Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527."},"title":"Persistence of translational symmetry in the BCS model with radial pair interaction","external_id":{"isi":["000429799900008"]},"article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Geisinge, Alissa","last_name":"Geisinge","first_name":"Alissa"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"last_name":"Loss","full_name":"Loss, Michael","first_name":"Michael"}],"publist_id":"7429","oa_version":"Published Version","abstract":[{"text":"We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum, our results carry over to the three-dimensional case.","lang":"eng"}],"intvolume":" 19","month":"05","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"file_id":"4966","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","date_created":"2018-12-12T10:12:47Z","creator":"system","file_size":582680,"date_updated":"2020-07-14T12:46:22Z"}],"publication_status":"published","ec_funded":1,"volume":19,"issue":"5","_id":"400","pubrep_id":"1011","status":"public","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)"},"type":"journal_article","ddc":["510"],"date_updated":"2023-09-15T12:04:15Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:22Z"},{"acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","oa":1,"publisher":"Springer","quality_controlled":"1","publication":"Mathematical Physics Analysis and Geometry","day":"01","year":"2018","isi":1,"has_accepted_license":"1","date_created":"2018-12-11T11:44:55Z","date_published":"2018-09-01T00:00:00Z","doi":"10.1007/s11040-018-9275-3","article_number":"19","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.","apa":"Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-018-9275-3","ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 3. Springer, 2018.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018)."},"title":"Stability of the 2+2 fermionic system with point interactions","external_id":{"isi":["000439639700001"]},"article_processing_charge":"No","publist_id":"7767","author":[{"last_name":"Moser","full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"oa_version":"Published Version","abstract":[{"text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.","lang":"eng"}],"intvolume":" 21","month":"09","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"5729","checksum":"411c4db5700d7297c9cd8ebc5dd29091","creator":"dernst","file_size":496973,"date_updated":"2020-07-14T12:45:01Z","file_name":"2018_MathPhysics_Moser.pdf","date_created":"2018-12-17T16:49:02Z"}],"publication_status":"published","publication_identifier":{"eissn":["15729656"],"issn":["13850172"]},"ec_funded":1,"related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"volume":21,"issue":"3","_id":"154","status":"public","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)"},"type":"journal_article","article_type":"original","ddc":["530"],"date_updated":"2023-09-19T09:31:15Z","file_date_updated":"2020-07-14T12:45:01Z","department":[{"_id":"RoSe"}]},{"date_updated":"2023-09-19T10:07:41Z","ddc":["510","539"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:31Z","_id":"455","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)"},"type":"journal_article","pubrep_id":"993","status":"public","publication_status":"published","language":[{"iso":"eng"}],"file":[{"date_updated":"2020-07-14T12:46:31Z","file_size":923252,"creator":"system","date_created":"2018-12-12T10:11:57Z","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"4914","checksum":"883eeccba8384ad7fcaa28761d99a0fa"}],"volume":19,"issue":"4","abstract":[{"text":"The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities","lang":"eng"}],"oa_version":"Published Version","alternative_title":["Annales Henri Poincare"],"scopus_import":"1","intvolume":" 19","month":"04","citation":{"chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare. Birkhäuser, 2018. https://doi.org/10.1007/s00023-018-0644-z.","ista":"Benedikter NP, Sok J, Solovej J. 2018. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 19(4), 1167–1214.","mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z.","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri Poincare, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.","ama":"Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 2018;19(4):1167-1214. doi:10.1007/s00023-018-0644-z","apa":"Benedikter, N. P., Sok, J., & Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 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The authors acknowledge support by ERC Advanced Grant 321029 and by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes equations.","oa":1,"quality_controlled":"1","publisher":"Birkhäuser"},{"day":"01","publication":"Communications on Pure and Applied Mathematics","isi":1,"year":"2018","date_published":"2018-03-01T00:00:00Z","doi":"10.1002/cpa.21717","date_created":"2018-12-11T11:46:31Z","page":"577 - 614","acknowledgement":"We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).\r\n","publisher":"Wiley-Blackwell","quality_controlled":"1","oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717.","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614. doi:10.1002/cpa.21717","apa":"Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.","chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717.","ista":"Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. 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This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.","lang":"eng"}],"month":"03","intvolume":" 71","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1606.07355"}],"date_updated":"2023-09-19T10:09:40Z","department":[{"_id":"RoSe"}],"_id":"446","status":"public","article_type":"original","type":"journal_article"},{"citation":{"mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:10.1103/physrevb.98.224506.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","ieee":"E. Yakaboylu, B. Midya, A. 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Such a system corresponds to a “rotating polaron,” which can be used to model, e.g., a rotating molecule immersed in an ultracold Bose gas or superfluid helium. We derive the Hamiltonian of the rotating polaron and study its spectrum in the weak- and strong-coupling regimes using a combination of variational, diagrammatic, and mean-field approaches. We reveal how the coupling between linear and angular momenta affects stable quasiparticle states, and demonstrate that internal rotation leads to an enhanced self-localization in the translational degrees of freedom."}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01204"}],"month":"12","intvolume":" 98"},{"publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":229,"issue":"3","abstract":[{"text":"The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove the existence of a phase transition in this model and provide its phase diagram.","lang":"eng"}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05935"}],"month":"09","intvolume":" 229","date_updated":"2023-09-19T14:33:12Z","department":[{"_id":"RoSe"}],"_id":"6002","type":"journal_article","status":"public","isi":1,"year":"2018","day":"01","publication":"Archive for Rational Mechanics and Analysis","page":"1037-1090","doi":"10.1007/s00205-018-1232-6","date_published":"2018-09-01T00:00:00Z","date_created":"2019-02-14T13:40:53Z","quality_controlled":"1","publisher":"Springer Nature","oa":1,"citation":{"chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis. 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Whereas for bosons a point interacting system is always unstable this ques- tion is more subtle for a gas of two species of fermions. In particular the answer depends on the mass ratio between these two species. Most of this work will be focused on the N + M model which consists of two species of fermions with N, M particles respectively which interact via point interactions. We will introduce this model using a formal limit and discuss the N + 1 system in more detail. In particular, we will show that for mass ratios above a critical one, which does not depend on the particle number, the N + 1 system is stable. In the context of this model we will prove rigorous versions of Tan relations which relate various quantities of the point-interacting model. By restricting the N + 1 system to a box we define a finite density model with point in- teractions. In the context of this system we will discuss the energy change when introducing a point-interacting impurity into a system of non-interacting fermions. We will see that this change in energy is bounded independently of the particle number and in particular the bound only depends on the density and the scattering length. As another special case of the N + M model we will show stability of the 2 + 2 model for mass ratios in an interval around one. Further we will investigate a different model of point interactions which was discussed before in the literature and which is, contrary to the N + M model, not given by a limiting procedure but is based on a Dirichlet form. We will show that this system behaves trivially in the thermodynamic limit, i.e. the free energy per particle is the same as the one of the non-interacting system."}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"09","publication_status":"published","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"file":[{"checksum":"fbd8c747d148b468a21213b7cf175225","file_id":"6256","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2019-04-09T07:45:38Z","file_name":"2018_Thesis_Moser.pdf","creator":"dernst","date_updated":"2020-07-14T12:46:37Z","file_size":851164},{"content_type":"application/zip","access_level":"closed","relation":"source_file","checksum":"c28e16ecfc1126d3ce324ec96493c01e","file_id":"6257","date_updated":"2020-07-14T12:46:37Z","file_size":1531516,"creator":"dernst","date_created":"2019-04-09T07:45:38Z","file_name":"2018_Thesis_Moser_Source.zip"}],"related_material":{"record":[{"status":"public","id":"5856","relation":"part_of_dissertation"},{"status":"public","id":"154","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"1198","status":"public"},{"id":"741","status":"public","relation":"part_of_dissertation"}]},"_id":"52","type":"dissertation","pubrep_id":"1043","status":"public","date_updated":"2023-09-27T12:34:14Z","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"ddc":["515","530","519"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:37Z","oa":1,"publisher":"Institute of Science and Technology Austria","year":"2018","has_accepted_license":"1","day":"04","page":"115","date_created":"2018-12-11T11:44:22Z","doi":"10.15479/AT:ISTA:th_1043","date_published":"2018-09-04T00:00:00Z","project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"citation":{"mla":"Moser, Thomas. 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Institute of Science and Technology Austria."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","publist_id":"8002","author":[{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","full_name":"Moser, Thomas"}],"title":"Point interactions in systems of fermions"},{"title":"Statistical mechanics of the uniform electron gas","article_processing_charge":"No","external_id":{"arxiv":["1705.10676"]},"publist_id":"7741","author":[{"first_name":"Mathieu","last_name":"Lewi","full_name":"Lewi, Mathieu"},{"full_name":"Lieb, Élliott","last_name":"Lieb","first_name":"Élliott"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5. Ecole Polytechnique, pp. 79–116, 2018.","short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","apa":"Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.64","ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64.","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116."},"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"date_created":"2018-12-11T11:45:03Z","doi":"10.5802/jep.64","date_published":"2018-07-01T00:00:00Z","page":"79 - 116","publication":"Journal de l'Ecole Polytechnique - Mathematiques","day":"01","year":"2018","has_accepted_license":"1","oa":1,"publisher":"Ecole Polytechnique","quality_controlled":"1","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged.","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:16Z","ddc":["510"],"date_updated":"2023-10-17T08:05:28Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"article_type":"original","type":"journal_article","_id":"180","license":"https://creativecommons.org/licenses/by-nd/4.0/","ec_funded":1,"volume":5,"language":[{"iso":"eng"}],"file":[{"file_name":"2018_JournaldeLecoleMath_Lewi.pdf","date_created":"2018-12-17T16:38:18Z","creator":"dernst","file_size":843938,"date_updated":"2020-07-14T12:45:16Z","checksum":"1ba7cccdf3900f42c4f715ae75d6813c","file_id":"5726","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"intvolume":" 5","month":"07","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density.","lang":"eng"}]},{"publisher":"International Press","quality_controlled":"1","oa":1,"day":"01","publication":"Advances in Theoretical and Mathematical Physics","year":"2017","date_published":"2017-01-01T00:00:00Z","doi":"10.4310/ATMP.2017.v21.n3.a4","date_created":"2018-12-11T11:46:43Z","page":"683 - 738","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 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Advances in Theoretical and Mathematical Physics. 21(3), 683–738.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4."},"title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","publist_id":"7336","author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","full_name":"Nam, Phan","last_name":"Nam"},{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"}],"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory."}],"month":"01","intvolume":" 21","scopus_import":1,"main_file_link":[{"url":"https://arxiv.org/abs/1509.04631","open_access":"1"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["10950761"]},"publication_status":"published","volume":21,"issue":"3","ec_funded":1,"_id":"484","status":"public","type":"journal_article","date_updated":"2021-01-12T08:00:58Z","department":[{"_id":"RoSe"}]},{"quality_controlled":"1","publisher":"American Mathematical Society","oa":1,"year":"2017","day":"01","publication":"Proceedings of the American Mathematical Society","page":"2441 - 2454","doi":"10.1090/proc/13468","date_published":"2017-01-01T00:00:00Z","date_created":"2018-12-11T11:47:36Z","project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"citation":{"chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society. American Mathematical Society, 2017. https://doi.org/10.1090/proc/13468.","ista":"Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 145(6), 2441–2454.","mla":"Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:10.1090/proc/13468.","short":"M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454.","ieee":"M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” Proceedings of the American Mathematical Society, vol. 145, no. 6. American Mathematical Society, pp. 2441–2454, 2017.","apa":"Lewin, M., Nam, P., & Rougerie, N. (2017). A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/13468","ama":"Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 2017;145(6):2441-2454. doi:10.1090/proc/13468"},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"7160","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"full_name":"Nam, Phan","last_name":"Nam","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Rougerie, Nicolas","last_name":"Rougerie","first_name":"Nicolas"}],"title":"A note on 2D focusing many boson systems","abstract":[{"text":"We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 < β < (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w < 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 < β < 3/4. ","lang":"eng"}],"oa_version":"Submitted Version","scopus_import":1,"main_file_link":[{"url":"https://arxiv.org/abs/1509.09045","open_access":"1"}],"month":"01","intvolume":" 145","publication_status":"published","language":[{"iso":"eng"}],"issue":"6","volume":145,"ec_funded":1,"_id":"632","type":"journal_article","status":"public","date_updated":"2021-01-12T08:07:03Z","department":[{"_id":"RoSe"}]},{"has_accepted_license":"1","isi":1,"year":"2017","day":"01","publication":"Letters in Mathematical Physics","page":" 533 - 552","date_published":"2017-03-01T00:00:00Z","doi":"10.1007/s11005-016-0915-x","date_created":"2018-12-11T11:50:40Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","quality_controlled":"1","publisher":"Springer","oa":1,"citation":{"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.","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.","apa":"Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0915-x","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552. doi:10.1007/s11005-016-0915-x","ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3. Springer, pp. 533–552, 2017.","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.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publist_id":"6152","author":[{"full_name":"Moser, Thomas","last_name":"Moser","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"external_id":{"isi":["000394280200007"]},"article_processing_charge":"Yes (via OA deal)","title":"Triviality of a model of particles with point interactions in the thermodynamic limit","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication_identifier":{"issn":["03779017"]},"publication_status":"published","file":[{"checksum":"c0c835def162c1bc52f978fad26e3c2f","file_id":"5296","content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2018-12-12T10:17:40Z","file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","date_updated":"2020-07-14T12:44:38Z","file_size":587207,"creator":"system"}],"language":[{"iso":"eng"}],"volume":107,"issue":"3","related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]},"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"}],"oa_version":"Published Version","scopus_import":"1","month":"03","intvolume":" 107","date_updated":"2023-09-20T11:18:13Z","ddc":["510","539"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:38Z","_id":"1198","type":"journal_article","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)"},"status":"public","pubrep_id":"723"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.","ieee":"X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American Physical Society, 2017.","short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).","ama":"Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608","apa":"Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. American Physical Society. https://doi.org/10.1103/PhysRevA.95.033608","chicago":"Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608."},"title":"Angular self-localization of impurities rotating in a bosonic bath","external_id":{"isi":["000395981900009"]},"article_processing_charge":"No","author":[{"id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang","full_name":"Li, Xiang","last_name":"Li"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail"}],"publist_id":"6242","article_number":"033608","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902"}],"publication":"Physical Review A","day":"06","year":"2017","isi":1,"date_created":"2018-12-11T11:50:15Z","doi":"10.1103/PhysRevA.95.033608","date_published":"2017-03-06T00:00:00Z","oa":1,"publisher":"American Physical Society","quality_controlled":"1","date_updated":"2023-09-20T11:30:58Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"_id":"1120","status":"public","type":"journal_article","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["24699926"]},"ec_funded":1,"issue":"3","related_material":{"record":[{"status":"public","id":"8958","relation":"dissertation_contains"}]},"volume":95,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"The existence of a self-localization transition in the polaron problem has been under an active debate ever since Landau suggested it 83 years ago. Here we reveal the self-localization transition for the rotational analogue of the polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of the symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. The predicted effects can potentially be addressed in experiments on cold molecules trapped in superfluid helium droplets and ultracold quantum gases, as well as on electronic excitations in solids and Bose-Einstein condensates. "}],"intvolume":" 95","month":"03","main_file_link":[{"url":"https://arxiv.org/abs/1610.04908","open_access":"1"}],"scopus_import":"1"},{"date_created":"2018-12-11T11:50:02Z","date_published":"2017-06-01T00:00:00Z","doi":"10.1007/s11040-017-9238-0","publication":"Mathematical Physics, Analysis and Geometry","day":"01","year":"2017","isi":1,"oa":1,"publisher":"Springer","quality_controlled":"1","title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","external_id":{"isi":["000401270000004"]},"article_processing_charge":"No","author":[{"first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","full_name":"Nam, Phan"},{"first_name":"Hanne","last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne"}],"publist_id":"6300","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 20(2), 6.","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry. Springer, 2017. https://doi.org/10.1007/s11040-017-9238-0.","apa":"Nam, P., & Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-017-9238-0","ama":"Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 2017;20(2). doi:10.1007/s11040-017-9238-0","short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017).","ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2. Springer, 2017.","mla":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2, 6, Springer, 2017, doi:10.1007/s11040-017-9238-0."},"project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"article_number":"6","issue":"2","volume":20,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["13850172"]},"intvolume":" 20","month":"06","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1603.07368"}],"scopus_import":"1","oa_version":"Submitted Version","abstract":[{"text":"We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers.","lang":"eng"}],"department":[{"_id":"RoSe"}],"date_updated":"2023-09-20T11:53:35Z","status":"public","type":"journal_article","_id":"1079"},{"date_created":"2018-12-11T11:48:15Z","date_published":"2017-11-01T00:00:00Z","doi":"10.1007/s00220-017-2980-0","page":"329 - 355","publication":"Communications in Mathematical Physics","day":"01","year":"2017","isi":1,"has_accepted_license":"1","oa":1,"quality_controlled":"1","publisher":"Springer","title":"Stability of a fermionic N+1 particle system with point interactions","article_processing_charge":"No","external_id":{"isi":["000409821300010"]},"publist_id":"6926","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.","ista":"Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.","ieee":"T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1. Springer, pp. 329–355, 2017.","short":"T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.","apa":"Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-2980-0","ama":"Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 2017;356(1):329-355. doi:10.1007/s00220-017-2980-0"},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"ec_funded":1,"volume":356,"related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"issue":"1","language":[{"iso":"eng"}],"file":[{"date_updated":"2020-07-14T12:47:57Z","file_size":952639,"creator":"system","date_created":"2018-12-12T10:10:50Z","file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"0fd9435400f91e9b3c5346319a2d24e3","file_id":"4841"}],"publication_status":"published","publication_identifier":{"issn":["00103616"]},"intvolume":" 356","month":"11","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.","lang":"eng"}],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:57Z","ddc":["539"],"date_updated":"2023-09-27T12:34:15Z","pubrep_id":"880","status":"public","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)"},"type":"journal_article","_id":"741"},{"_id":"739","status":"public","type":"journal_article","date_updated":"2023-09-27T12:52:07Z","department":[{"_id":"RoSe"}],"oa_version":"Submitted Version","abstract":[{"text":"We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states.","lang":"eng"}],"intvolume":" 108","month":"11","main_file_link":[{"url":"https://arxiv.org/abs/1604.05240","open_access":"1"}],"scopus_import":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["00217824"]},"volume":108,"issue":"5","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013.","ieee":"P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5. Elsevier, pp. 662–688, 2017.","short":"P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688.","apa":"Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013","ama":"Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688. doi:10.1016/j.matpur.2017.05.013","chicago":"Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013.","ista":"Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5), 662–688."},"title":"A note on the validity of Bogoliubov correction to mean field dynamics","article_processing_charge":"No","external_id":{"isi":["000414113600003"]},"author":[{"first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","full_name":"Nam, Phan"},{"first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"}],"publist_id":"6928","oa":1,"quality_controlled":"1","publisher":"Elsevier","publication":"Journal de Mathématiques Pures et Appliquées","day":"01","year":"2017","isi":1,"date_created":"2018-12-11T11:48:15Z","doi":"10.1016/j.matpur.2017.05.013","date_published":"2017-11-01T00:00:00Z","page":"662 - 688"},{"type":"journal_article","article_type":"original","status":"public","_id":"997","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-10-10T13:31:54Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05162"}],"scopus_import":"1","intvolume":" 119","month":"12","abstract":[{"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.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"volume":119,"issue":"23","publication_status":"published","publication_identifier":{"issn":["0031-9007"]},"language":[{"iso":"eng"}],"project":[{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"article_number":"235301","external_id":{"isi":["000417132100007"],"arxiv":["1705.05162"]},"article_processing_charge":"No","publist_id":"6401","author":[{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu"},{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"title":"Emergence of non-abelian magnetic monopoles in a quantum impurity problem","citation":{"short":"E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017).","ieee":"E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” Physical Review Letters, vol. 119, no. 23. American Physical Society, 2017.","ama":"Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 2017;119(23). doi:10.1103/PhysRevLett.119.235301","apa":"Yakaboylu, E., Deuchert, A., & Lemeshko, M. (2017). Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.119.235301","mla":"Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters, vol. 119, no. 23, 235301, American Physical Society, 2017, doi:10.1103/PhysRevLett.119.235301.","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.","chicago":"Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.235301."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"quality_controlled":"1","publisher":"American Physical Society","date_created":"2018-12-11T11:49:36Z","date_published":"2017-12-06T00:00:00Z","doi":"10.1103/PhysRevLett.119.235301","year":"2017","isi":1,"publication":"Physical Review Letters","day":"06"},{"article_processing_charge":"No","external_id":{"isi":["000409197200015"]},"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert"}],"publist_id":"6531","title":"A lower bound for the BCS functional with boundary conditions at infinity","citation":{"mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:10.1063/1.4996580.","ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580","apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing, 2017.","short":"A. Deuchert, Journal of Mathematical Physics 58 (2017).","chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing, 2017. https://doi.org/10.1063/1.4996580.","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_number":"081901","date_created":"2018-12-11T11:49:10Z","doi":"10.1063/1.4996580","date_published":"2017-08-01T00:00:00Z","year":"2017","isi":1,"publication":" Journal of Mathematical Physics","day":"01","oa":1,"quality_controlled":"1","publisher":"AIP Publishing","department":[{"_id":"RoSe"}],"date_updated":"2024-02-28T13:07:56Z","type":"journal_article","status":"public","_id":"912","ec_funded":1,"volume":58,"issue":"8","publication_status":"published","publication_identifier":{"issn":["00222488"]},"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1703.04616","open_access":"1"}],"scopus_import":"1","intvolume":" 58","month":"08","abstract":[{"lang":"eng","text":"We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n"}],"oa_version":"Submitted Version"},{"ec_funded":1,"issue":"2","volume":9,"language":[{"iso":"eng"}],"publication_status":"published","intvolume":" 9","month":"03","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1503.07061"}],"scopus_import":1,"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"}],"department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:48:36Z","status":"public","type":"journal_article","_id":"1143","date_created":"2018-12-11T11:50:23Z","doi":"10.2140/apde.2016.9.459","date_published":"2016-03-24T00:00:00Z","page":"459 - 485","publication":"Analysis and PDE","day":"24","year":"2016","oa":1,"publisher":"Mathematical Sciences Publishers","quality_controlled":"1","title":"Ground states of large bosonic systems: The gross Pitaevskii limit revisited","publist_id":"6215","author":[{"last_name":"Nam","full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan"},{"first_name":"Nicolas","last_name":"Rougerie","full_name":"Rougerie, Nicolas"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485. doi:10.2140/apde.2016.9.459","apa":"Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2016.9.459","ieee":"P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016.","short":"P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.","mla":"Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.","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.","chicago":"Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE. Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459."},"project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"}]},{"year":"2016","has_accepted_license":"1","publication":"Mathematical Physics, Analysis and Geometry","day":"01","date_created":"2018-12-11T11:50:59Z","doi":"10.1007/s11040-016-9209-x","date_published":"2016-06-01T00:00:00Z","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.","oa":1,"publisher":"Springer","quality_controlled":"1","citation":{"chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.","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.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2. Springer, 2016.","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).","ama":"Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x","apa":"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. Springer. https://doi.org/10.1007/s11040-016-9209-x"},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","publist_id":"6066","author":[{"first_name":"Gerhard","last_name":"Bräunlich","full_name":"Bräunlich, Gerhard"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"title":"Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit","article_number":"13","project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"publication_status":"published","language":[{"iso":"eng"}],"file":[{"file_id":"4736","checksum":"9954f685cc25c58d7f1712c67b47ad8d","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"IST-2016-702-v1+1_s11040-016-9209-x.pdf","date_created":"2018-12-12T10:09:13Z","file_size":506242,"date_updated":"2020-07-14T12:44:42Z","creator":"system"}],"volume":19,"issue":"2","abstract":[{"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.","lang":"eng"}],"oa_version":"Published Version","scopus_import":1,"intvolume":" 19","month":"06","date_updated":"2021-01-12T06:49:27Z","ddc":["510","539"],"file_date_updated":"2020-07-14T12:44:42Z","department":[{"_id":"RoSe"}],"_id":"1259","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)"},"type":"journal_article","pubrep_id":"702","status":"public"},{"issue":"8","volume":106,"publication_status":"published","file":[{"date_created":"2018-12-12T10:11:09Z","file_name":"IST-2016-698-v1+1_s11005-016-0860-8.pdf","date_updated":"2020-07-14T12:44:42Z","file_size":349464,"creator":"system","checksum":"d740a6a226e0f5f864f40e3e269d3cc0","file_id":"4863","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"scopus_import":1,"month":"08","intvolume":" 106","abstract":[{"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.","lang":"eng"}],"oa_version":"Published Version","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:42Z","date_updated":"2021-01-12T06:49:30Z","ddc":["510","539"],"type":"journal_article","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)"},"status":"public","pubrep_id":"698","_id":"1267","page":"1033 - 1036","doi":"10.1007/s11005-016-0860-8","date_published":"2016-08-01T00:00:00Z","date_created":"2018-12-11T11:51:02Z","has_accepted_license":"1","year":"2016","day":"01","publication":"Letters in Mathematical Physics","quality_controlled":"1","publisher":"Springer","oa":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology Austria.\r\n","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam","full_name":"Nam, Phan"}],"publist_id":"6054","title":"Nonexistence of large nuclei in the liquid drop model","citation":{"chicago":"Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0860-8.","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.","mla":"Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:10.1007/s11005-016-0860-8.","apa":"Frank, R., Killip, R., & Nam, P. (2016). Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0860-8","ama":"Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 2016;106(8):1033-1036. doi:10.1007/s11005-016-0860-8","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,” Letters in Mathematical Physics, vol. 106, no. 8. Springer, pp. 1033–1036, 2016."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}]},{"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.","publisher":"Springer","quality_controlled":"1","oa":1,"has_accepted_license":"1","year":"2016","day":"01","publication":"Communications in Mathematical Physics","page":"983 - 1007","doi":"10.1007/s00220-016-2665-0","date_published":"2016-11-01T00:00:00Z","date_created":"2018-12-11T11:51:11Z","project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"citation":{"mla":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.","ama":"Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007. doi:10.1007/s00220-016-2665-0","apa":"Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-016-2665-0","ieee":"A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3. Springer, pp. 983–1007, 2016.","short":"A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.","chicago":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0.","ista":"Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publist_id":"6025","author":[{"first_name":"Alessandro","full_name":"Giuliani, Alessandro","last_name":"Giuliani"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"title":"Periodic striped ground states in Ising models with competing interactions","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 > 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."}],"oa_version":"Published Version","scopus_import":1,"month":"11","intvolume":" 347","publication_status":"published","file":[{"file_size":794983,"date_updated":"2020-07-14T12:44:42Z","creator":"system","file_name":"IST-2016-688-v1+1_s00220-016-2665-0.pdf","date_created":"2018-12-12T10:09:02Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_id":"4725","checksum":"3c6e08c048fc462e312788be72874bb1"}],"language":[{"iso":"eng"}],"volume":347,"issue":"3","_id":"1291","type":"journal_article","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)"},"status":"public","pubrep_id":"688","date_updated":"2021-01-12T06:49:40Z","ddc":["510","530"],"file_date_updated":"2020-07-14T12:44:42Z","department":[{"_id":"RoSe"}]},{"article_number":"012016","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"citation":{"apa":"Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In Journal of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing Ltd. https://doi.org/10.1088/1742-6596/691/1/012016","ama":"Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In: Journal of Physics: Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016","short":"M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.","ieee":"M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.","mla":"Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.","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.","chicago":"Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Martin","last_name":"Könenberg","full_name":"Könenberg, Martin"},{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","full_name":"Moser, Thomas","last_name":"Moser"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"}],"publist_id":"5770","title":"Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential","oa":1,"quality_controlled":"1","publisher":"IOP Publishing Ltd.","year":"2016","has_accepted_license":"1","publication":"Journal of Physics: Conference Series","day":"07","date_created":"2018-12-11T11:51:58Z","date_published":"2016-03-07T00:00:00Z","doi":"10.1088/1742-6596/691/1/012016","_id":"1428","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)"},"conference":{"start_date":"2015-08-21","location":"Shanghai, China","end_date":"2015-08-25","name":"24th International Laser Physics Workshop (LPHYS'15)"},"type":"conference","pubrep_id":"585","status":"public","date_updated":"2021-01-12T06:50:40Z","ddc":["510","530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:53Z","abstract":[{"text":"We report on a mathematically rigorous analysis of the superfluid properties of a Bose- Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential.","lang":"eng"}],"oa_version":"Published Version","scopus_import":1,"intvolume":" 691","month":"03","publication_status":"published","language":[{"iso":"eng"}],"file":[{"date_created":"2018-12-12T10:10:55Z","file_name":"IST-2016-585-v1+1_JPCS_691_1_012016.pdf","date_updated":"2020-07-14T12:44:53Z","file_size":1434688,"creator":"system","checksum":"109db801749072c3f6c8f1a1848700fa","file_id":"4847","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"volume":691,"issue":"1"},{"project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0847-5","ama":"Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5","ieee":"R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7. Springer, pp. 913–923, 2016.","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.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.","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.","chicago":"Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5."},"title":"Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations","publist_id":"5785","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"Yes (via OA deal)","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","quality_controlled":"1","publisher":"Springer","oa":1,"day":"01","publication":"Letters in Mathematical Physics","has_accepted_license":"1","year":"2016","doi":"10.1007/s11005-016-0847-5","date_published":"2016-07-01T00:00:00Z","date_created":"2018-12-11T11:51:56Z","page":"913 - 923","_id":"1422","status":"public","pubrep_id":"591","type":"journal_article","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)"},"ddc":["510","530"],"date_updated":"2021-01-12T06:50:38Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:53Z","oa_version":"Published Version","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"}],"month":"07","intvolume":" 106","scopus_import":1,"file":[{"date_created":"2018-12-12T10:15:57Z","file_name":"IST-2016-591-v1+1_s11005-016-0847-5.pdf","creator":"system","date_updated":"2020-07-14T12:44:53Z","file_size":458968,"checksum":"fb404923d8ca9a1faeb949561f26cbea","file_id":"5181","access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"publication_status":"published","volume":106,"issue":"7"},{"status":"public","pubrep_id":"581","type":"journal_article","tmp":{"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","image":"/images/cc_by_nc_nd.png"},"_id":"1436","file_date_updated":"2020-07-14T12:44:54Z","department":[{"_id":"RoSe"}],"ddc":["510","530"],"date_updated":"2021-01-12T06:50:43Z","month":"01","intvolume":" 105","scopus_import":1,"oa_version":"Published Version","abstract":[{"text":"We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system.","lang":"eng"}],"volume":105,"issue":"1","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","ec_funded":1,"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_id":"4825","checksum":"c5afe1f6935bc7f2b546adbde1d31a35","file_size":658491,"date_updated":"2020-07-14T12:44:54Z","creator":"system","file_name":"IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf","date_created":"2018-12-12T10:10:36Z"}],"language":[{"iso":"eng"}],"publication_status":"published","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"title":"Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction","author":[{"last_name":"Bach","full_name":"Bach, Volker","first_name":"Volker"},{"first_name":"Sébastien","full_name":"Breteaux, Sébastien","last_name":"Breteaux"},{"full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"},{"full_name":"Tzaneteas, Tim","last_name":"Tzaneteas","first_name":"Tim"}],"publist_id":"5763","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","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.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003.","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.","mla":"Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.","apa":"Bach, V., Breteaux, S., Petrat, S. P., 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. Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003","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. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30. doi:10.1016/j.matpur.2015.09.003","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,” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1. Elsevier, pp. 1–30, 2016.","short":"V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30."},"publisher":"Elsevier","quality_controlled":"1","oa":1,"date_published":"2016-01-01T00:00:00Z","doi":"10.1016/j.matpur.2015.09.003","date_created":"2018-12-11T11:52:00Z","page":"1 - 30","day":"01","publication":"Journal de Mathématiques Pures et Appliquées","has_accepted_license":"1","year":"2016"},{"scopus_import":1,"intvolume":" 18","month":"02","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."}],"oa_version":"Published Version","volume":18,"issue":"3","publication_status":"published","language":[{"iso":"eng"}],"file":[{"file_name":"IST-2016-579-v1+1_njp_18_3_035002.pdf","date_created":"2018-12-12T10:17:22Z","creator":"system","file_size":965607,"date_updated":"2020-07-14T12:44:56Z","file_id":"5276","checksum":"4f959eabc19d2a2f518318a450a4d424","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"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)"},"type":"journal_article","pubrep_id":"579","status":"public","_id":"1478","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:56Z","date_updated":"2021-01-12T06:51:01Z","ddc":["510","530"],"oa":1,"quality_controlled":"1","publisher":"IOP Publishing Ltd.","date_created":"2018-12-11T11:52:15Z","date_published":"2016-02-29T00:00:00Z","doi":"10.1088/1367-2630/18/3/035002","year":"2016","has_accepted_license":"1","publication":"New Journal of Physics","day":"29","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"article_number":"035002","publist_id":"5716","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"},{"first_name":"Simone","full_name":"Warzel, Simone","last_name":"Warzel"}],"title":"Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas","citation":{"short":"R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).","ieee":"R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3. IOP Publishing Ltd., 2016.","apa":"Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/18/3/035002","ama":"Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3). doi:10.1088/1367-2630/18/3/035002","mla":"Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.","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.","chicago":"Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87"},{"publication_status":"published","year":"2016","day":"24","publication":"Journal of Mathematical Physics","language":[{"iso":"eng"}],"volume":57,"date_published":"2016-02-24T00:00:00Z","issue":"2","doi":"10.1063/1.4941723","date_created":"2018-12-11T11:52:18Z","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"}],"oa_version":"Preprint","scopus_import":1,"quality_controlled":"1","publisher":"American Institute of Physics","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1511.01995"}],"oa":1,"month":"02","intvolume":" 57","citation":{"ista":"Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.","chicago":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723.","ama":"Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 2016;57(2). doi:10.1063/1.4941723","apa":"Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4941723","ieee":"C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” Journal of Mathematical Physics, vol. 57, no. 2. American Institute of Physics, 2016.","short":"C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).","mla":"Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723."},"date_updated":"2021-01-12T06:51:04Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"5701","author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"title":"The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties","department":[{"_id":"RoSe"}],"_id":"1486","article_number":"021101","type":"journal_article","status":"public"},{"ddc":["510","530"],"date_updated":"2021-01-12T06:51:08Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:58Z","_id":"1493","pubrep_id":"514","status":"public","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)"},"type":"journal_article","language":[{"iso":"eng"}],"file":[{"file_size":911310,"date_updated":"2020-07-14T12:44:58Z","creator":"system","file_name":"IST-2016-514-v1+1_s11040-016-9204-2.pdf","date_created":"2018-12-12T10:16:55Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_id":"5246","checksum":"eb5d2145ef0d377c4f78bf06e18f4529"}],"publication_status":"published","ec_funded":1,"volume":19,"issue":"1","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"}],"intvolume":" 19","month":"03","scopus_import":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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.","chicago":"Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9204-2.","short":"S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).","ieee":"S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic mean-field dynamics,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1. Springer, 2016.","ama":"Petrat SP, Pickl P. A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. 2016;19(1). doi:10.1007/s11040-016-9204-2","apa":"Petrat, S. P., & Pickl, P. (2016). A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9204-2","mla":"Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1, 3, Springer, 2016, doi:10.1007/s11040-016-9204-2."},"title":"A new method and a new scaling for deriving fermionic mean-field dynamics","article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"}],"publist_id":"5690","article_number":"3","project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"publication":"Mathematical Physics, Analysis and Geometry","day":"01","year":"2016","has_accepted_license":"1","date_created":"2018-12-11T11:52:20Z","date_published":"2016-03-01T00:00:00Z","doi":"10.1007/s11040-016-9204-2","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","oa":1,"quality_controlled":"1","publisher":"Springer"},{"abstract":[{"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.","lang":"eng"}],"oa_version":"Submitted Version","scopus_import":1,"main_file_link":[{"url":"http://arxiv.org/abs/1405.3220","open_access":"1"}],"month":"01","intvolume":" 368","publication_status":"published","language":[{"iso":"eng"}],"issue":"9","volume":368,"_id":"1491","type":"journal_article","status":"public","date_updated":"2021-01-12T06:51:07Z","department":[{"_id":"RoSe"}],"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.","publisher":"American Mathematical Society","quality_controlled":"1","oa":1,"year":"2016","day":"01","publication":"Transactions of the American Mathematical Society","page":"6131 - 6157","doi":"10.1090/tran/6537","date_published":"2016-01-01T00:00:00Z","date_created":"2018-12-11T11:52:20Z","citation":{"short":"M. Lewin, P. Nam, N. Rougerie, Transactions of the American Mathematical Society 368 (2016) 6131–6157.","ieee":"M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases,” Transactions of the American Mathematical Society, vol. 368, no. 9. American Mathematical Society, pp. 6131–6157, 2016.","apa":"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. American Mathematical Society. https://doi.org/10.1090/tran/6537","ama":"Lewin M, Nam P, Rougerie N. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. 2016;368(9):6131-6157. doi:10.1090/tran/6537","mla":"Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57, doi:10.1090/tran/6537.","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.","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society. American Mathematical Society, 2016. https://doi.org/10.1090/tran/6537."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","full_name":"Nam, Phan"},{"first_name":"Nicolas","full_name":"Rougerie, Nicolas","last_name":"Rougerie"}],"publist_id":"5692","title":"The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases"},{"date_updated":"2021-01-12T06:51:30Z","department":[{"_id":"RoSe"}],"_id":"1545","type":"journal_article","status":"public","publication_status":"published","language":[{"iso":"eng"}],"ec_funded":1,"volume":270,"issue":"11","abstract":[{"lang":"eng","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."}],"oa_version":"Submitted Version","main_file_link":[{"url":"http://arxiv.org/abs/1508.07321","open_access":"1"}],"scopus_import":1,"intvolume":" 270","month":"06","citation":{"ista":"Nam P, Napiórkowski MM, Solovej J. 2016. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 270(11), 4340–4368.","chicago":"Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2015.12.007.","apa":"Nam, P., Napiórkowski, M. M., & Solovej, J. (2016). Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2015.12.007","ama":"Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 2016;270(11):4340-4368. doi:10.1016/j.jfa.2015.12.007","ieee":"P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations,” Journal of Functional Analysis, vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016.","short":"P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270 (2016) 4340–4368.","mla":"Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis, vol. 270, no. 11, Academic Press, 2016, pp. 4340–68, doi:10.1016/j.jfa.2015.12.007."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"5626","author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","full_name":"Nam, Phan","last_name":"Nam"},{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan"}],"title":"Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations","project":[{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"year":"2016","publication":"Journal of Functional Analysis","day":"01","page":"4340 - 4368","date_created":"2018-12-11T11:52:38Z","doi":"10.1016/j.jfa.2015.12.007","date_published":"2016-06-01T00:00:00Z","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.).","oa":1,"publisher":"Academic Press","quality_controlled":"1"},{"title":"The external field dependence of the BCS critical temperature","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan"}],"publist_id":"5546","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"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.","chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2.","apa":"Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2526-2","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216. doi:10.1007/s00220-015-2526-2","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1. Springer, pp. 189–216, 2016.","mla":"Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2."},"oa":1,"quality_controlled":"1","publisher":"Springer","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","doi":"10.1007/s00220-015-2526-2","date_published":"2016-02-01T00:00:00Z","page":"189 - 216","publication":"Communications in Mathematical Physics","day":"01","year":"2016","status":"public","type":"journal_article","_id":"1620","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:52:03Z","intvolume":" 342","month":"02","main_file_link":[{"url":"http://arxiv.org/abs/1410.2352","open_access":"1"}],"scopus_import":1,"oa_version":"Submitted Version","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."}],"issue":"1","volume":342,"language":[{"iso":"eng"}],"publication_status":"published"},{"publication_status":"published","language":[{"iso":"eng"}],"ec_funded":1,"issue":"3","volume":219,"abstract":[{"lang":"eng","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."}],"oa_version":"Submitted Version","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1501.04570"}],"scopus_import":1,"intvolume":" 219","month":"03","date_updated":"2021-01-12T06:52:04Z","department":[{"_id":"RoSe"}],"_id":"1622","type":"journal_article","status":"public","year":"2016","publication":"Archive for Rational Mechanics and Analysis","day":"01","page":"1343 - 1382","date_created":"2018-12-11T11:53:05Z","doi":"10.1007/s00205-015-0923-5","date_published":"2016-03-01T00:00:00Z","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”.","oa":1,"quality_controlled":"1","publisher":"Springer","citation":{"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.","chicago":"Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis. Springer, 2016. https://doi.org/10.1007/s00205-015-0923-5.","short":"D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis 219 (2016) 1343–1382.","ieee":"D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems,” Archive for Rational Mechanics and Analysis, vol. 219, no. 3. Springer, pp. 1343–1382, 2016.","ama":"Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 2016;219(3):1343-1382. doi:10.1007/s00205-015-0923-5","apa":"Lundholm, D., Nam, P., & Portmann, F. (2016). Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. Springer. https://doi.org/10.1007/s00205-015-0923-5","mla":"Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis, vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:10.1007/s00205-015-0923-5."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publist_id":"5542","author":[{"last_name":"Lundholm","full_name":"Lundholm, Douglas","first_name":"Douglas"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","full_name":"Nam, Phan","last_name":"Nam"},{"full_name":"Portmann, Fabian","last_name":"Portmann","first_name":"Fabian"}],"title":"Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}]},{"author":[{"last_name":"Correggi","full_name":"Correggi, Michele","first_name":"Michele"},{"first_name":"Alessandro","full_name":"Giuliani, Alessandro","last_name":"Giuliani"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"5599","department":[{"_id":"RoSe"}],"title":"Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet","date_updated":"2021-01-12T06:51:41Z","citation":{"mla":"Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.","short":"M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.","ieee":"M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical Physics, vol. 339, no. 1. Springer, pp. 279–307, 2015.","ama":"Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0","apa":"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. Springer. https://doi.org/10.1007/s00220-015-2402-0","chicago":"Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","status":"public","_id":"1572","page":"279 - 307","date_published":"2015-06-23T00:00:00Z","issue":"1","doi":"10.1007/s00220-015-2402-0","volume":339,"date_created":"2018-12-11T11:52:47Z","year":"2015","publication_status":"published","day":"23","language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics","quality_controlled":"1","scopus_import":1,"publisher":"Springer","oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1312.7873"}],"month":"06","intvolume":" 339","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"}],"oa_version":"Preprint"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015. https://doi.org/10.1002/cpa.21552.","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.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.","ieee":"T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications on Pure and Applied Mathematics, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.","short":"T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.","apa":"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. Wiley. https://doi.org/10.1002/cpa.21552","ama":"Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552"},"title":"Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti","publist_id":"5598","author":[{"first_name":"Thomas","full_name":"Chen, Thomas","last_name":"Chen"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"first_name":"Nataša","full_name":"Pavlović, Nataša","last_name":"Pavlović"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"publication":"Communications on Pure and Applied Mathematics","day":"01","year":"2015","date_created":"2018-12-11T11:52:48Z","date_published":"2015-10-01T00:00:00Z","doi":"10.1002/cpa.21552","page":"1845 - 1884","oa":1,"quality_controlled":"1","publisher":"Wiley","date_updated":"2021-01-12T06:51:41Z","department":[{"_id":"RoSe"}],"_id":"1573","status":"public","type":"journal_article","language":[{"iso":"eng"}],"publication_status":"published","volume":68,"issue":"10","oa_version":"Preprint","abstract":[{"lang":"eng","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."}],"intvolume":" 68","month":"10","main_file_link":[{"url":"http://arxiv.org/abs/1307.3168","open_access":"1"}],"scopus_import":1},{"scopus_import":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1502.07205"}],"month":"08","intvolume":" 105","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 "obvious" 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","volume":105,"issue":"10","license":"https://creativecommons.org/licenses/by-nc/4.0/","publication_status":"published","file":[{"date_updated":"2020-07-14T12:45:13Z","file_size":484967,"creator":"dernst","date_created":"2019-01-15T14:42:07Z","file_name":"2015_LettersMathPhys_Deuchert.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"5836","checksum":"fd7307282a314cc1fbbaef77b187516b"}],"language":[{"iso":"eng"}],"type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","short":"CC BY-NC (4.0)"},"status":"public","_id":"1704","file_date_updated":"2020-07-14T12:45:13Z","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:52:38Z","ddc":["510"],"quality_controlled":"1","publisher":"Springer","oa":1,"page":"1449 - 1466","doi":"10.1007/s11005-015-0787-5","date_published":"2015-08-05T00:00:00Z","date_created":"2018-12-11T11:53:34Z","has_accepted_license":"1","year":"2015","day":"05","publication":"Letters in Mathematical Physics","publist_id":"5432","author":[{"first_name":"Andreas","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Note on a family of monotone quantum relative entropies","citation":{"mla":"Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5.","short":"A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.","ieee":"A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10. Springer, pp. 1449–1466, 2015.","apa":"Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-015-0787-5","ama":"Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5","chicago":"Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"publist_id":"5303","author":[{"last_name":"Goldman","full_name":"Goldman, Michael","first_name":"Michael"},{"id":"4D3BED28-F248-11E8-B48F-1D18A9856A87","first_name":"Jimena","full_name":"Royo-Letelier, Jimena","last_name":"Royo-Letelier"}],"department":[{"_id":"RoSe"}],"title":"Sharp interface limit for two components Bose-Einstein condensates","date_updated":"2021-01-12T06:53:20Z","citation":{"chicago":"Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations. EDP Sciences, 2015. https://doi.org/10.1051/cocv/2014040.","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.","mla":"Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040.","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,” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015.","ama":"Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. 2015;21(3):603-624. doi:10.1051/cocv/2014040","apa":"Goldman, M., & Royo-Letelier, J. (2015). Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. EDP Sciences. https://doi.org/10.1051/cocv/2014040"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","status":"public","_id":"1807","page":"603 - 624","date_published":"2015-05-01T00:00:00Z","volume":21,"doi":"10.1051/cocv/2014040","issue":"3","date_created":"2018-12-11T11:54:07Z","publication_status":"published","year":"2015","day":"01","language":[{"iso":"eng"}],"publication":"ESAIM - Control, Optimisation and Calculus of Variations","publisher":"EDP Sciences","quality_controlled":"1","scopus_import":1,"oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1401.1727","open_access":"1"}],"month":"05","intvolume":" 21","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."}],"oa_version":"Preprint"},{"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:20Z","ddc":["530"],"date_updated":"2021-01-12T06:53:48Z","pubrep_id":"447","status":"public","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)"},"type":"journal_article","_id":"1880","volume":17,"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"38fdf2b5ac30445e26a5d613abd84b16","file_id":"4963","date_updated":"2020-07-14T12:45:20Z","file_size":768108,"creator":"system","date_created":"2018-12-12T10:12:44Z","file_name":"IST-2016-447-v1+1_document_1_.pdf"}],"publication_status":"published","intvolume":" 17","month":"01","scopus_import":1,"oa_version":"Published Version","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"}],"title":"Superfluid behavior of a Bose-Einstein condensate in a random potential","publist_id":"5214","author":[{"last_name":"Könenberg","full_name":"Könenberg, Martin","first_name":"Martin"},{"full_name":"Moser, Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"},{"last_name":"Yngvason","full_name":"Yngvason, Jakob","first_name":"Jakob"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics. IOP Publishing Ltd., 2015. https://doi.org/10.1088/1367-2630/17/1/013022.","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.” New Journal of Physics, vol. 17, 013022, IOP Publishing Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.","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,” New Journal of Physics, vol. 17. IOP Publishing Ltd., 2015.","apa":"Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2015). Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/17/1/013022","ama":"Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 2015;17. doi:10.1088/1367-2630/17/1/013022"},"project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"article_number":"013022","date_created":"2018-12-11T11:54:30Z","doi":"10.1088/1367-2630/17/1/013022","date_published":"2015-01-15T00:00:00Z","publication":"New Journal of Physics","day":"15","year":"2015","has_accepted_license":"1","oa":1,"quality_controlled":"1","publisher":"IOP Publishing Ltd.","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"},{"month":"02","intvolume":" 215","quality_controlled":"1","scopus_import":1,"publisher":"Springer","main_file_link":[{"url":"http://arxiv.org/abs/1402.1153","open_access":"1"}],"oa":1,"oa_version":"Preprint","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. "}],"doi":"10.1007/s00205-014-0781-6","volume":215,"date_published":"2015-02-01T00:00:00Z","issue":"2","date_created":"2018-12-11T11:55:37Z","page":"381 - 417","day":"01","language":[{"iso":"eng"}],"publication":"Archive for Rational Mechanics and Analysis","year":"2015","publication_status":"published","status":"public","type":"journal_article","_id":"2085","title":"Collective excitations of Bose gases in the mean-field regime","department":[{"_id":"RoSe"}],"author":[{"last_name":"Nam","full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"publist_id":"4951","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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.","chicago":"Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis. Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.","ieee":"P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2. Springer, pp. 381–417, 2015.","short":"P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.","ama":"Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417. doi:10.1007/s00205-014-0781-6","apa":"Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. Springer. https://doi.org/10.1007/s00205-014-0781-6","mla":"Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6."},"date_updated":"2021-01-12T06:55:13Z"},{"oa":1,"quality_controlled":"1","publisher":"Ecole Polytechnique","year":"2015","has_accepted_license":"1","publication":"Journal de l'Ecole Polytechnique - Mathematiques","day":"01","page":"65 - 115","date_created":"2018-12-11T11:46:40Z","doi":"10.5802/jep.18","date_published":"2015-01-01T00:00:00Z","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"}],"citation":{"mla":"Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 2, Ecole Polytechnique, 2015, pp. 65–115, doi:10.5802/jep.18.","apa":"Lewin, M., Nam, P., & Rougerie, N. (2015). Derivation of nonlinear gibbs measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.18","ama":"Lewin M, Nam P, Rougerie N. Derivation of nonlinear gibbs measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2015;2:65-115. doi:10.5802/jep.18","ieee":"M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures from many-body quantum mechanics,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 2. Ecole Polytechnique, pp. 65–115, 2015.","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.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2015. https://doi.org/10.5802/jep.18.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publist_id":"7344","author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"last_name":"Phan Thanh","full_name":"Phan Thanh, Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Nam"},{"first_name":"Nicolas","full_name":"Rougerie, Nicolas","last_name":"Rougerie"}],"title":"Derivation of nonlinear gibbs measures from many-body quantum mechanics","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."}],"oa_version":"Published Version","scopus_import":1,"intvolume":" 2","month":"01","publication_status":"published","language":[{"iso":"eng"}],"file":[{"file_name":"IST-2018-951-v1+1_2015_Thanh-Nam_Derivation_of.pdf","date_created":"2018-12-12T10:12:53Z","creator":"system","file_size":1084254,"date_updated":"2020-07-14T12:46:35Z","file_id":"4974","checksum":"a40eb4016717ddc9927154798a4c164a","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"ec_funded":1,"volume":2,"_id":"473","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"type":"journal_article","pubrep_id":"951","status":"public","date_updated":"2021-01-12T08:00:52Z","ddc":["539"],"file_date_updated":"2020-07-14T12:46:35Z","department":[{"_id":"RoSe"}]},{"oa_version":"Preprint","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"}],"month":"01","publisher":"World Scientific Publishing","quality_controlled":"1","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1403.2563","open_access":"1"}],"day":"01","language":[{"iso":"eng"}],"publication":"Proceedings of the QMath12 Conference","year":"2014","publication_status":"published","date_published":"2014-01-01T00:00:00Z","doi":"10.1142/9789814618144_0007","date_created":"2018-12-11T11:52:28Z","page":"127 - 137","_id":"1516","status":"public","type":"conference","conference":{"location":"Berlin, Germany","end_date":"2013-09-13","start_date":"2013-09-10","name":"QMath: Mathematical Results in Quantum Physics"},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_updated":"2021-01-12T06:51:19Z","citation":{"short":"G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid fermionic gases,” in Proceedings of the QMath12 Conference, Berlin, Germany, 2014, pp. 127–137.","ama":"Bräunlich G, Hainzl C, Seiringer R. On the BCS gap equation for superfluid fermionic gases. In: Proceedings of the QMath12 Conference. World Scientific Publishing; 2014:127-137. doi:10.1142/9789814618144_0007","apa":"Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). On the BCS gap equation for superfluid fermionic gases. In Proceedings of the QMath12 Conference (pp. 127–137). Berlin, Germany: World Scientific Publishing. https://doi.org/10.1142/9789814618144_0007","mla":"Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007.","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.","chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12 Conference, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007."},"title":"On the BCS gap equation for superfluid fermionic gases","department":[{"_id":"RoSe"}],"publist_id":"5661","author":[{"full_name":"Bräunlich, Gerhard","last_name":"Bräunlich","first_name":"Gerhard"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"external_id":{"arxiv":["1403.2563"]},"article_processing_charge":"No"},{"type":"journal_article","status":"public","pubrep_id":"532","_id":"1821","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:17Z","date_updated":"2021-01-12T06:53:25Z","ddc":["510","530"],"scopus_import":1,"month":"06","intvolume":" 55","abstract":[{"lang":"eng","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."}],"oa_version":"Submitted Version","issue":"7","volume":55,"publication_status":"published","file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"ed0efc93c10f1341155f0316af617b82","file_id":"5172","creator":"system","file_size":269171,"date_updated":"2020-07-14T12:45:17Z","file_name":"IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf","date_created":"2018-12-12T10:15:49Z"}],"language":[{"iso":"eng"}],"project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"article_number":"1.4881536","publist_id":"5285","author":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation","citation":{"chicago":"Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4881536.","ista":"Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 55(7), 1.4881536.","mla":"Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536.","apa":"Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4881536","ama":"Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4881536","short":"R. Seiringer, Journal of Mathematical Physics 55 (2014).","ieee":"R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” Journal of Mathematical Physics, vol. 55, no. 7. American Institute of Physics, 2014."},"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","publisher":"American Institute of Physics","oa":1,"date_published":"2014-06-26T00:00:00Z","doi":"10.1063/1.4881536","date_created":"2018-12-11T11:54:11Z","has_accepted_license":"1","year":"2014","day":"26","publication":"Journal of Mathematical Physics"},{"_id":"1822","article_number":"075101","type":"journal_article","status":"public","citation":{"short":"V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).","ieee":"V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical Physics, vol. 55, no. 7. American Institute of Physics, 2014.","ama":"Jakšić V, Pillet C, Seiringer R. Introduction. Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4884877","apa":"Jakšić, V., Pillet, C., & Seiringer, R. (2014). Introduction. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4884877","mla":"Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.","ista":"Jakšić V, Pillet C, Seiringer R. 2014. Introduction. Journal of Mathematical Physics. 55(7), 075101.","chicago":"Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4884877."},"date_updated":"2021-01-12T06:53:25Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","publist_id":"5284","author":[{"full_name":"Jakšić, Vojkan","last_name":"Jakšić","first_name":"Vojkan"},{"first_name":"Claude","full_name":"Pillet, Claude","last_name":"Pillet"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Introduction","department":[{"_id":"RoSe"}],"oa_version":"None","quality_controlled":"1","publisher":"American Institute of Physics","scopus_import":1,"month":"07","intvolume":" 55","year":"2014","publication_status":"published","day":"01","publication":"Journal of Mathematical Physics","language":[{"iso":"eng"}],"date_published":"2014-07-01T00:00:00Z","issue":"7","volume":55,"doi":"10.1063/1.4884877","date_created":"2018-12-11T11:54:12Z"},{"citation":{"mla":"Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.","apa":"Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X14500123","ama":"Bräunlich G, Hainzl C, Seiringer R. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 2014;26(7). doi:10.1142/S0129055X14500123","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free states for fermionic systems and the BCS approximation,” Reviews in Mathematical Physics, vol. 26, no. 7. World Scientific Publishing, 2014.","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).","chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X14500123.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Bräunlich","full_name":"Bräunlich, Gerhard","first_name":"Gerhard"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"5206","external_id":{"arxiv":["1305.5135"]},"article_processing_charge":"No","title":"Translation-invariant quasi-free states for fermionic systems and the BCS approximation","article_number":"1450012","year":"2014","day":"01","publication":"Reviews in Mathematical Physics","doi":"10.1142/S0129055X14500123","date_published":"2014-08-01T00:00:00Z","date_created":"2018-12-11T11:54:33Z","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.","quality_controlled":"1","publisher":"World Scientific Publishing","oa":1,"date_updated":"2022-06-07T09:03:09Z","department":[{"_id":"RoSe"}],"_id":"1889","article_type":"original","type":"journal_article","status":"public","publication_status":"published","language":[{"iso":"eng"}],"volume":26,"issue":"7","abstract":[{"lang":"eng","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."}],"oa_version":"Submitted Version","scopus_import":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1305.5135"}],"month":"08","intvolume":" 26"},{"abstract":[{"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.","lang":"eng"}],"oa_version":"Submitted Version","main_file_link":[{"url":"http://arxiv.org/abs/1306.1309","open_access":"1"}],"scopus_import":1,"intvolume":" 16","month":"08","publication_status":"published","language":[{"iso":"eng"}],"volume":16,"issue":"7","_id":"1904","type":"journal_article","status":"public","date_updated":"2021-01-12T06:53:58Z","department":[{"_id":"RoSe"}],"oa":1,"publisher":"European Mathematical Society","quality_controlled":"1","year":"2014","publication":"Journal of the European Mathematical Society","day":"23","page":"1507 - 1526","date_created":"2018-12-11T11:54:38Z","doi":"10.4171/JEMS/467","date_published":"2014-08-23T00:00:00Z","project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"citation":{"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.","chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467.","short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” Journal of the European Mathematical Society, vol. 16, no. 7. European Mathematical Society, pp. 1507–1526, 2014.","apa":"Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/467","ama":"Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 2014;16(7):1507-1526. doi:10.4171/JEMS/467","mla":"Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467."},"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","publist_id":"5191","author":[{"last_name":"Frank","full_name":"Frank, Rupert","first_name":"Rupert"},{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"last_name":"Lieb","full_name":"Lieb, Élliott","first_name":"Élliott"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"Strichartz inequality for orthonormal functions"},{"project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"article_number":"1350021","title":"Existence of ground states for negative ions at the binding threshold","author":[{"last_name":"Bellazzini","full_name":"Bellazzini, Jacopo","first_name":"Jacopo"},{"first_name":"Rupert","full_name":"Frank, Rupert","last_name":"Frank"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"5176","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"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.","chicago":"Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X13500219.","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,” Reviews in Mathematical Physics, vol. 26, no. 1. World Scientific Publishing, 2014.","ama":"Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 2014;26(1). doi:10.1142/S0129055X13500219","apa":"Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X13500219","mla":"Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219."},"publisher":"World Scientific Publishing","quality_controlled":"1","oa":1,"doi":"10.1142/S0129055X13500219","date_published":"2014-02-01T00:00:00Z","date_created":"2018-12-11T11:54:42Z","day":"01","publication":"Reviews in Mathematical Physics","year":"2014","status":"public","type":"journal_article","_id":"1918","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:54:04Z","month":"02","intvolume":" 26","scopus_import":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1301.5370"}],"oa_version":"Submitted Version","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 < N-K, where K is the maximal number of electrons that can be removed at Zc without changing the energy.","lang":"eng"}],"volume":26,"issue":"1","language":[{"iso":"eng"}],"publication_status":"published"},{"article_processing_charge":"No","external_id":{"arxiv":["1304.6344"]},"author":[{"full_name":"Giuliani, Alessandro","last_name":"Giuliani","first_name":"Alessandro"},{"first_name":"Élliott","full_name":"Lieb, Élliott","last_name":"Lieb"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publist_id":"5159","title":"Formation of stripes and slabs near the ferromagnetic transition","citation":{"chicago":"Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-1923-2.","ista":"Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350.","mla":"Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.","apa":"Giuliani, A., Lieb, É., & Seiringer, R. (2014). Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-014-1923-2","ama":"Giuliani A, Lieb É, Seiringer R. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 2014;331:333-350. doi:10.1007/s00220-014-1923-2","ieee":"A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near the ferromagnetic transition,” Communications in Mathematical Physics, vol. 331. Springer, pp. 333–350, 2014.","short":"A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"333 - 350","date_created":"2018-12-11T11:54:48Z","doi":"10.1007/s00220-014-1923-2","date_published":"2014-10-01T00:00:00Z","year":"2014","has_accepted_license":"1","publication":"Communications in Mathematical Physics","day":"01","oa":1,"quality_controlled":"1","publisher":"Springer","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.","department":[{"_id":"RoSe"}],"file_date_updated":"2022-05-24T08:30:40Z","date_updated":"2022-05-24T08:32:50Z","ddc":["510"],"article_type":"original","type":"journal_article","status":"public","_id":"1935","volume":331,"publication_status":"published","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"language":[{"iso":"eng"}],"file":[{"file_id":"11409","checksum":"c8423271cd1e1ba9e44c47af75efe7b6","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2022-05-24T08:30:40Z","file_name":"2014_CommMathPhysics_Giuliani.pdf","date_updated":"2022-05-24T08:30:40Z","file_size":334064,"creator":"dernst"}],"scopus_import":"1","intvolume":" 331","month":"10","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 > 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."}],"oa_version":"Published Version"},{"publication_status":"published","language":[{"iso":"eng"}],"issue":"2","volume":108,"abstract":[{"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.","lang":"eng"}],"oa_version":"Submitted Version","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1404.4717"}],"scopus_import":1,"intvolume":" 108","month":"10","date_updated":"2021-01-12T06:54:50Z","department":[{"_id":"RoSe"}],"_id":"2029","type":"journal_article","status":"public","year":"2014","publication":"EPL","day":"13","date_created":"2018-12-11T11:55:18Z","doi":"10.1209/0295-5075/108/20003","date_published":"2014-10-13T00:00:00Z","acknowledgement":"239694; ERC; European Research Council","oa":1,"quality_controlled":"1","publisher":"IOP Publishing Ltd.","citation":{"mla":"Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003.","apa":"Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave theory for the quantum Heisenberg model. EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/108/20003","ama":"Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 2014;108(2). doi:10.1209/0295-5075/108/20003","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,” EPL, vol. 108, no. 2. IOP Publishing Ltd., 2014.","chicago":"Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing Ltd., 2014. https://doi.org/10.1209/0295-5075/108/20003.","ista":"Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 108(2), 20003."},"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Correggi, Michele","last_name":"Correggi","first_name":"Michele"},{"full_name":"Giuliani, Alessandro","last_name":"Giuliani","first_name":"Alessandro"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publist_id":"5044","title":"Validity of spin-wave theory for the quantum Heisenberg model","article_number":"20003"},{"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."}],"oa_version":"Submitted Version","scopus_import":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1311.2136"}],"month":"05","intvolume":" 104","publication_status":"published","language":[{"iso":"eng"}],"issue":"7","volume":104,"_id":"2186","type":"journal_article","status":"public","date_updated":"2021-01-12T06:55:51Z","department":[{"_id":"RoSe"}],"publisher":"Springer","quality_controlled":"1","oa":1,"year":"2014","day":"07","publication":"Letters in Mathematical Physics","page":"871 - 891","date_published":"2014-05-07T00:00:00Z","doi":"10.1007/s11005-014-0693-2","date_created":"2018-12-11T11:56:12Z","project":[{"_id":"26450934-B435-11E9-9278-68D0E5697425","name":"NSERC Postdoctoral fellowship"}],"citation":{"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,” Letters in Mathematical Physics, vol. 104, no. 7. Springer, pp. 871–891, 2014.","short":"T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.","ama":"Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 2014;104(7):871-891. doi:10.1007/s11005-014-0693-2","apa":"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. Springer. https://doi.org/10.1007/s11005-014-0693-2","mla":"Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.","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.","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.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-014-0693-2."},"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","publist_id":"4793","author":[{"last_name":"Chen","full_name":"Chen, Thomas","first_name":"Thomas"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"last_name":"Pavlović","full_name":"Pavlović, Nataša","first_name":"Nataša"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.","chicago":"Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature, 2014. https://doi.org/10.1365/s13291-014-0083-9.","apa":"Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions. Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature. https://doi.org/10.1365/s13291-014-0083-9","ama":"Seiringer R. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9","short":"R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.","ieee":"R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,” Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 116. Springer Nature, pp. 21–41, 2014.","mla":"Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9."},"date_updated":"2023-09-05T14:19:47Z","department":[{"_id":"RoSe"}],"title":"The excitation spectrum for Bose fluids with weak interactions","article_processing_charge":"No","author":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"_id":"10814","keyword":["General Medicine"],"status":"public","type":"journal_article","article_type":"original","publication":"Jahresbericht der Deutschen Mathematiker-Vereinigung","language":[{"iso":"eng"}],"day":"01","publication_status":"published","year":"2014","publication_identifier":{"issn":["0012-0456"],"eissn":["1869-7135"]},"date_created":"2022-03-04T07:54:39Z","date_published":"2014-03-01T00:00:00Z","doi":"10.1365/s13291-014-0083-9","volume":116,"page":"21-41","oa_version":"None","abstract":[{"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.","lang":"eng"}],"intvolume":" 116","month":"03","quality_controlled":"1","publisher":"Springer Nature","scopus_import":"1"},{"_id":"8044","type":"conference","conference":{"name":"ICM: International Congress of Mathematicans","end_date":"2014-08-21","location":"Seoul, South Korea","start_date":"2014-08-13"},"status":"public","date_updated":"2023-10-17T11:12:33Z","citation":{"mla":"Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” Proceeding of the International Congress of Mathematicans, vol. 3, International Congress of Mathematicians, 2014, pp. 1175–94.","ieee":"R. Seiringer, “Structure of the excitation spectrum for many-body quantum systems,” in Proceeding of the International Congress of Mathematicans, Seoul, South Korea, 2014, vol. 3, pp. 1175–1194.","short":"R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.","apa":"Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum systems. In Proceeding of the International Congress of Mathematicans (Vol. 3, pp. 1175–1194). Seoul, South Korea: International Congress of Mathematicians.","ama":"Seiringer R. Structure of the excitation spectrum for many-body quantum systems. In: Proceeding of the International Congress of Mathematicans. Vol 3. International Congress of Mathematicians; 2014:1175-1194.","chicago":"Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” In Proceeding of the International Congress of Mathematicans, 3:1175–94. International Congress of Mathematicians, 2014.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","title":"Structure of the excitation spectrum for many-body quantum systems","department":[{"_id":"RoSe"}],"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."}],"oa_version":"Published Version","publisher":"International Congress of Mathematicians","quality_controlled":"1","scopus_import":"1","oa":1,"main_file_link":[{"open_access":"1","url":"http://www.icm2014.org/en/vod/proceedings.html"}],"month":"08","intvolume":" 3","publication_identifier":{"isbn":["9788961058063"]},"publication_status":"published","year":"2014","day":"01","language":[{"iso":"eng"}],"publication":"Proceeding of the International Congress of Mathematicans","page":"1175-1194","volume":3,"date_published":"2014-08-01T00:00:00Z","date_created":"2020-06-29T07:59:35Z"},{"date_updated":"2024-02-14T12:19:42Z","department":[{"_id":"RoSe"}],"_id":"2281","article_type":"original","type":"journal_article","status":"public","publication_status":"published","language":[{"iso":"eng"}],"volume":104,"issue":"2","abstract":[{"lang":"eng","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."}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1301.5682"}],"month":"02","intvolume":" 104","citation":{"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.","chicago":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9.","ieee":"Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” Letters in Mathematical Physics, vol. 104, no. 2. Springer, pp. 141–156, 2014.","short":"Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.","ama":"Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156. doi:10.1007/s11005-013-0667-9","apa":"Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-013-0667-9","mla":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publist_id":"4653","author":[{"first_name":"Yujin","last_name":"Guo","full_name":"Guo, Yujin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"external_id":{"arxiv":["1301.5682"]},"article_processing_charge":"No","title":"On the mass concentration for Bose-Einstein condensates with attractive interactions","year":"2014","day":"01","publication":"Letters in Mathematical Physics","page":"141 - 156","doi":"10.1007/s11005-013-0667-9","date_published":"2014-02-01T00:00:00Z","date_created":"2018-12-11T11:56:44Z","publisher":"Springer","quality_controlled":"1","oa":1},{"publist_id":"4631","author":[{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"arxiv":["0908.3686"]},"title":"Hot topics in cold gases: A mathematical physics perspective","citation":{"ista":"Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 8(2), 185–232.","chicago":"Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics. Springer, 2013. https://doi.org/10.1007/s11537-013-1264-5.","ieee":"R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,” Japanese Journal of Mathematics, vol. 8, no. 2. Springer, pp. 185–232, 2013.","short":"R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.","apa":"Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. Springer. https://doi.org/10.1007/s11537-013-1264-5","ama":"Seiringer R. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 2013;8(2):185-232. doi:10.1007/s11537-013-1264-5","mla":"Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","publisher":"Springer","oa":1,"page":"185 - 232","date_published":"2013-09-24T00:00:00Z","doi":"10.1007/s11537-013-1264-5","date_created":"2018-12-11T11:56:50Z","year":"2013","day":"24","publication":"Japanese Journal of Mathematics","type":"journal_article","status":"public","_id":"2297","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:56:36Z","scopus_import":1,"main_file_link":[{"url":"http://arxiv.org/abs/0908.3686","open_access":"1"}],"month":"09","intvolume":" 8","abstract":[{"lang":"eng","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."}],"oa_version":"Preprint","volume":8,"issue":"2","publication_status":"published","language":[{"iso":"eng"}]},{"year":"2013","publication":"Physical Review B","day":"01","date_created":"2018-12-11T11:56:51Z","date_published":"2013-08-01T00:00:00Z","doi":"10.1103/PhysRevB.88.064401","oa":1,"quality_controlled":"1","publisher":"American Physical Society","citation":{"chicago":"Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B. American Physical Society, 2013. https://doi.org/10.1103/PhysRevB.88.064401.","ista":"Giuliani A, Lieb É, Seiringer R. 2013. Realization of stripes and slabs in two and three dimensions. Physical Review B. 88(6), 064401.","mla":"Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical Society, 2013, doi:10.1103/PhysRevB.88.064401.","short":"A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).","ieee":"A. Giuliani, É. Lieb, and R. Seiringer, “Realization of stripes and slabs in two and three dimensions,” Physical Review B, vol. 88, no. 6. American Physical Society, 2013.","apa":"Giuliani, A., Lieb, É., & Seiringer, R. (2013). Realization of stripes and slabs in two and three dimensions. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.88.064401","ama":"Giuliani A, Lieb É, Seiringer R. Realization of stripes and slabs in two and three dimensions. Physical Review B. 2013;88(6). doi:10.1103/PhysRevB.88.064401"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1305.5323"]},"author":[{"first_name":"Alessandro","last_name":"Giuliani","full_name":"Giuliani, Alessandro"},{"first_name":"Élliott","full_name":"Lieb, 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"}],"publist_id":"4627","title":"Realization of stripes and slabs in two and three dimensions","article_number":"064401","publication_status":"published","language":[{"iso":"eng"}],"volume":88,"issue":"6","abstract":[{"text":"We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic interactions and long-range, power law decaying, antiferromagnetic interactions. If the strength of the ferromagnetic coupling J is larger than a critical value Jc, then the ground state is homogeneous and ferromagnetic. As the critical value is approached from smaller values of J, it is believed that the ground state consists of a periodic array of stripes (d=2) or slabs (d=3), all of the same size and alternating magnetization. Here we prove rigorously that the ground state energy per site converges to that of the optimal periodic striped or slabbed state, in the limit that J tends to the ferromagnetic transition point. While this theorem does not prove rigorously that the ground state is precisely striped or slabbed, it does prove that in any suitably large box the ground state is striped or slabbed with high probability.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"url":"http://arxiv.org/abs/1305.5323","open_access":"1"}],"scopus_import":1,"intvolume":" 88","month":"08","date_updated":"2021-01-12T06:56:38Z","department":[{"_id":"RoSe"}],"_id":"2300","type":"journal_article","status":"public"},{"author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"publist_id":"4609","department":[{"_id":"RoSe"}],"title":"Absence of bound states implies non-negativity of the scattering length","date_updated":"2021-01-12T06:56:44Z","citation":{"chicago":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory. European Mathematical Society, 2012. https://doi.org/10.4171/JST/31.","ista":"Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.","mla":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.","ieee":"R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012.","short":"R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.","apa":"Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. European Mathematical Society. https://doi.org/10.4171/JST/31","ama":"Seiringer R. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31"},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","type":"journal_article","status":"public","_id":"2318","page":"321-328","volume":2,"issue":"3","date_published":"2012-06-24T00:00:00Z","doi":"10.4171/JST/31","date_created":"2018-12-11T11:56:58Z","publication_status":"published","year":"2012","day":"24","publication":"Journal of Spectral Theory","language":[{"iso":"eng"}],"publisher":"European Mathematical Society","quality_controlled":"1","oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1204.0435","open_access":"1"}],"month":"06","intvolume":" 2","abstract":[{"text":"We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. ","lang":"eng"}],"oa_version":"Preprint","acknowledgement":"Partial financial support by NSERC "}]