[{"_id":"6649","month":"03","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","publication_status":"published","title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","oa":1,"department":[{"_id":"RoSe"}],"ec_funded":1,"abstract":[{"lang":"eng","text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"status":"public","has_accepted_license":"1","day":"01","citation":{"ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” <i>Communications in Mathematical Physics</i>, vol. 374. Springer Nature, pp. 2097–2150, 2020.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” <i>Communications in Mathematical Physics</i>, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:<a href=\"https://doi.org/10.1007/s00220-019-03505-5\">10.1007/s00220-019-03505-5</a>.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00220-019-03505-5\">https://doi.org/10.1007/s00220-019-03505-5</a>.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-019-03505-5\">https://doi.org/10.1007/s00220-019-03505-5</a>","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. <i>Communications in Mathematical Physics</i>. 2020;374:2097–2150. doi:<a href=\"https://doi.org/10.1007/s00220-019-03505-5\">10.1007/s00220-019-03505-5</a>","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150."},"intvolume":"       374","publisher":"Springer Nature","doi":"10.1007/s00220-019-03505-5","type":"journal_article","file_date_updated":"2020-07-14T12:47:35Z","language":[{"iso":"eng"}],"arxiv":1,"date_published":"2020-03-01T00:00:00Z","oa_version":"Published Version","external_id":{"isi":["000527910700019"],"arxiv":["1809.01902"]},"author":[{"last_name":"Benedikter","full_name":"Benedikter, Niels P","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091"},{"full_name":"Nam, Phan Thành","first_name":"Phan Thành","last_name":"Nam"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"ddc":["530"],"publication":"Communications in Mathematical Physics","project":[{"call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"date_updated":"2023-08-17T13:51:50Z","year":"2020","date_created":"2019-07-18T13:30:04Z","quality_controlled":"1","page":"2097–2150","file":[{"checksum":"f9dd6dd615a698f1d3636c4a092fed23","relation":"main_file","creator":"dernst","file_size":853289,"file_name":"2019_CommMathPhysics_Benedikter.pdf","date_updated":"2020-07-14T12:47:35Z","access_level":"open_access","date_created":"2019-07-24T07:19:10Z","content_type":"application/pdf","file_id":"6668"}],"isi":1,"volume":374,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No","scopus_import":"1","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]}},{"citation":{"ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. 2019;368(2):723-776. doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>","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,” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2. Springer, pp. 723–776, 2019.","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>.","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.","chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>.","apa":"Deuchert, A., Seiringer, R., &#38; Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>"},"intvolume":"       368","day":"01","has_accepted_license":"1","status":"public","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"}],"ec_funded":1,"department":[{"_id":"RoSe"}],"title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","oa":1,"publication_status":"published","article_type":"original","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"80","month":"06","scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","volume":368,"isi":1,"file":[{"file_name":"2018_CommunMathPhys_Deuchert.pdf","access_level":"open_access","date_updated":"2020-07-14T12:48:07Z","date_created":"2018-12-17T10:34:06Z","content_type":"application/pdf","file_id":"5688","checksum":"c7e9880b43ac726712c1365e9f2f73a6","relation":"main_file","creator":"dernst","file_size":893902}],"quality_controlled":"1","page":"723-776","year":"2019","date_created":"2018-12-11T11:44:31Z","date_updated":"2023-08-24T14:27:51Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"issue":"2","publist_id":"7974","publication":"Communications in Mathematical Physics","ddc":["530"],"author":[{"full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jakob","full_name":"Yngvason, Jakob","last_name":"Yngvason"}],"oa_version":"Published Version","external_id":{"isi":["000467796800007"]},"date_published":"2019-06-01T00:00:00Z","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:48:07Z","type":"journal_article","doi":"10.1007/s00220-018-3239-0","publisher":"Springer"},{"doi":"10.1007/s00023-018-00757-0","publisher":"Springer","arxiv":1,"language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:47:12Z","type":"journal_article","oa_version":"Published Version","external_id":{"arxiv":["1807.00739"],"isi":["000462444300008"]},"date_published":"2019-04-01T00:00:00Z","issue":"4","publication":"Annales Henri Poincare","ddc":["530"],"author":[{"last_name":"Moser","full_name":"Moser, Thomas","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"quality_controlled":"1","page":"1325–1365","year":"2019","date_created":"2019-01-20T22:59:17Z","date_updated":"2023-09-07T12:37:42Z","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"volume":20,"file":[{"relation":"main_file","checksum":"255e42f957a8e2b10aad2499c750a8d6","file_size":859846,"creator":"dernst","file_name":"2019_Annales_Moser.pdf","content_type":"application/pdf","date_created":"2019-01-28T15:27:17Z","file_id":"5894","date_updated":"2020-07-14T12:47:12Z","access_level":"open_access"}],"isi":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["14240637"]},"scopus_import":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"5856","month":"04","oa":1,"related_material":{"record":[{"id":"52","status":"public","relation":"dissertation_contains"}]},"title":"Energy contribution of a point-interacting impurity in a Fermi gas","publication_status":"published","article_type":"original","department":[{"_id":"RoSe"}],"ec_funded":1,"status":"public","abstract":[{"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.","lang":"eng"}],"day":"01","has_accepted_license":"1","intvolume":"        20","citation":{"ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” <i>Annales Henri Poincare</i>, 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.” <i>Annales Henri Poincare</i>, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>.","apa":"Moser, T., &#38; Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. Springer. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>","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.” <i>Annales Henri Poincare</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>.","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. 2019;20(4):1325–1365. doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365."}},{"scopus_import":"1","publication_identifier":{"issn":["13850172"],"eissn":["15729656"]},"article_processing_charge":"No","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"file":[{"file_size":496973,"creator":"dernst","relation":"main_file","checksum":"411c4db5700d7297c9cd8ebc5dd29091","date_created":"2018-12-17T16:49:02Z","content_type":"application/pdf","file_id":"5729","date_updated":"2020-07-14T12:45:01Z","access_level":"open_access","file_name":"2018_MathPhysics_Moser.pdf"}],"isi":1,"volume":21,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund"}],"date_updated":"2023-09-19T09:31:15Z","date_created":"2018-12-11T11:44:55Z","year":"2018","quality_controlled":"1","author":[{"full_name":"Moser, Thomas","first_name":"Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer"}],"ddc":["530"],"publication":"Mathematical Physics Analysis and Geometry","issue":"3","publist_id":"7767","date_published":"2018-09-01T00:00:00Z","oa_version":"Published Version","external_id":{"isi":["000439639700001"]},"type":"journal_article","file_date_updated":"2020-07-14T12:45:01Z","language":[{"iso":"eng"}],"publisher":"Springer","doi":"10.1007/s11040-018-9275-3","citation":{"ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>.","apa":"Moser, T., &#38; Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3. Springer, 2018.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3, 19, Springer, 2018, doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. 2018;21(3). doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>"},"intvolume":"        21","has_accepted_license":"1","day":"01","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"}],"status":"public","article_number":"19","ec_funded":1,"acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","department":[{"_id":"RoSe"}],"article_type":"original","publication_status":"published","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"oa":1,"title":"Stability of the 2+2 fermionic system with point interactions","_id":"154","month":"09","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"department":[{"_id":"RoSe"}],"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.","article_type":"original","publication_status":"published","title":"Statistical mechanics of the uniform electron gas","oa":1,"_id":"180","month":"07","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"         5","citation":{"short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. 2018;5:79-116. doi:<a href=\"https://doi.org/10.5802/jep.64\">10.5802/jep.64</a>","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique, 2018. <a href=\"https://doi.org/10.5802/jep.64\">https://doi.org/10.5802/jep.64</a>.","apa":"Lewi, M., Lieb, É., &#38; Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique. <a href=\"https://doi.org/10.5802/jep.64\">https://doi.org/10.5802/jep.64</a>","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 5. Ecole Polytechnique, pp. 79–116, 2018.","mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:<a href=\"https://doi.org/10.5802/jep.64\">10.5802/jep.64</a>."},"has_accepted_license":"1","day":"01","abstract":[{"lang":"eng","text":"In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density."}],"status":"public","ec_funded":1,"author":[{"last_name":"Lewi","first_name":"Mathieu","full_name":"Lewi, Mathieu"},{"first_name":"Élliott","full_name":"Lieb, Élliott","last_name":"Lieb"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"ddc":["510"],"publication":"Journal de l'Ecole Polytechnique - Mathematiques","publist_id":"7741","date_published":"2018-07-01T00:00:00Z","license":"https://creativecommons.org/licenses/by-nd/4.0/","external_id":{"arxiv":["1705.10676"]},"oa_version":"Published Version","type":"journal_article","file_date_updated":"2020-07-14T12:45:16Z","language":[{"iso":"eng"}],"arxiv":1,"publisher":"Ecole Polytechnique","doi":"10.5802/jep.64","scopus_import":"1","publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)"},"article_processing_charge":"No","file":[{"creator":"dernst","file_size":843938,"checksum":"1ba7cccdf3900f42c4f715ae75d6813c","relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:45:16Z","date_created":"2018-12-17T16:38:18Z","content_type":"application/pdf","file_id":"5726","file_name":"2018_JournaldeLecoleMath_Lewi.pdf"}],"volume":5,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"date_updated":"2023-10-17T08:05:28Z","year":"2018","date_created":"2018-12-11T11:45:03Z","quality_controlled":"1","page":"79 - 116"},{"page":"347-403","quality_controlled":"1","date_created":"2018-12-11T11:47:09Z","year":"2018","date_updated":"2021-01-12T08:02:35Z","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF"}],"volume":360,"publication_identifier":{"issn":["00103616"]},"scopus_import":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05953"}],"doi":"10.1007/s00220-017-3064-x","publisher":"Springer","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","oa_version":"Submitted Version","external_id":{"arxiv":["1511.05953"]},"date_published":"2018-05-01T00:00:00Z","issue":"1","publist_id":"7260","publication":"Communications in Mathematical Physics","author":[{"first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Robin","full_name":"Reuvers, Robin","last_name":"Reuvers"},{"last_name":"Solovej","full_name":"Solovej, Jan","first_name":"Jan"}],"status":"public","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.)."}],"day":"01","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.” <i>Communications in Mathematical Physics</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s00220-017-3064-x\">https://doi.org/10.1007/s00220-017-3064-x</a>.","apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. (2018). The Bogoliubov free energy functional II: The dilute Limit. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-017-3064-x\">https://doi.org/10.1007/s00220-017-3064-x</a>","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” <i>Communications in Mathematical Physics</i>, vol. 360, no. 1, Springer, 2018, pp. 347–403, doi:<a href=\"https://doi.org/10.1007/s00220-017-3064-x\">10.1007/s00220-017-3064-x</a>.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” <i>Communications in Mathematical Physics</i>, vol. 360, no. 1. Springer, pp. 347–403, 2018.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","ama":"Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional II: The dilute Limit. <i>Communications in Mathematical Physics</i>. 2018;360(1):347-403. doi:<a href=\"https://doi.org/10.1007/s00220-017-3064-x\">10.1007/s00220-017-3064-x</a>"},"intvolume":"       360","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"05","_id":"554","oa":1,"title":"The Bogoliubov free energy functional II: The dilute Limit","publication_status":"published","department":[{"_id":"RoSe"}]},{"abstract":[{"lang":"eng","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."}],"status":"public","day":"01","citation":{"ista":"Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 229(3), 1037–1090.","apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-018-1232-6\">https://doi.org/10.1007/s00205-018-1232-6</a>","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2018. <a href=\"https://doi.org/10.1007/s00205-018-1232-6\">https://doi.org/10.1007/s00205-018-1232-6</a>.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:<a href=\"https://doi.org/10.1007/s00205-018-1232-6\">10.1007/s00205-018-1232-6</a>.","short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090.","ama":"Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. <i>Archive for Rational Mechanics and Analysis</i>. 2018;229(3):1037-1090. doi:<a href=\"https://doi.org/10.1007/s00205-018-1232-6\">10.1007/s00205-018-1232-6</a>"},"intvolume":"       229","month":"09","_id":"6002","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","oa":1,"title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","department":[{"_id":"RoSe"}],"project":[{"call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"date_updated":"2023-09-19T14:33:12Z","date_created":"2019-02-14T13:40:53Z","year":"2018","page":"1037-1090","quality_controlled":"1","isi":1,"volume":229,"article_processing_charge":"No","main_file_link":[{"url":"https://arxiv.org/abs/1511.05935","open_access":"1"}],"scopus_import":"1","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"publisher":"Springer Nature","doi":"10.1007/s00205-018-1232-6","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"date_published":"2018-09-01T00:00:00Z","oa_version":"Preprint","external_id":{"isi":["000435367300003"],"arxiv":["1511.05935"]},"author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"},{"full_name":"Reuvers, Robin","first_name":"Robin","last_name":"Reuvers"},{"last_name":"Solovej","full_name":"Solovej, Jan Philip","first_name":"Jan Philip"}],"issue":"3","publication":"Archive for Rational Mechanics and Analysis"},{"file_date_updated":"2020-07-14T12:45:55Z","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"publisher":"Springer","doi":"10.1007/s11005-018-1091-y","ddc":["510"],"author":[{"last_name":"Lundholm","full_name":"Lundholm, Douglas","first_name":"Douglas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer"}],"issue":"11","publist_id":"7586","publication":"Letters in Mathematical Physics","date_published":"2018-05-11T00:00:00Z","oa_version":"Published Version","external_id":{"arxiv":["1712.06218"],"isi":["000446491500008"]},"volume":108,"isi":1,"file":[{"creator":"dernst","file_size":551996,"checksum":"8beb9632fa41bbd19452f55f31286a31","relation":"main_file","date_updated":"2020-07-14T12:45:55Z","access_level":"open_access","date_created":"2018-12-17T12:14:17Z","file_id":"5698","content_type":"application/pdf","file_name":"2018_LettMathPhys_Lundholm.pdf"}],"date_updated":"2023-09-11T14:01:57Z","project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"page":"2523-2541","quality_controlled":"1","year":"2018","date_created":"2018-12-11T11:45:40Z","scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No","title":"Fermionic behavior of ideal anyons","oa":1,"publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","month":"05","_id":"295","department":[{"_id":"RoSe"}],"acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.","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."}],"status":"public","ec_funded":1,"citation":{"ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. <i>Letters in Mathematical Physics</i>. 2018;108(11):2523-2541. doi:<a href=\"https://doi.org/10.1007/s11005-018-1091-y\">10.1007/s11005-018-1091-y</a>","short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” <i>Letters in Mathematical Physics</i>, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” <i>Letters in Mathematical Physics</i>, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:<a href=\"https://doi.org/10.1007/s11005-018-1091-y\">10.1007/s11005-018-1091-y</a>.","apa":"Lundholm, D., &#38; Seiringer, R. (2018). Fermionic behavior of ideal anyons. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-018-1091-y\">https://doi.org/10.1007/s11005-018-1091-y</a>","chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” <i>Letters in Mathematical Physics</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11005-018-1091-y\">https://doi.org/10.1007/s11005-018-1091-y</a>.","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541."},"intvolume":"       108","has_accepted_license":"1","day":"11"},{"external_id":{"isi":["000460003000003"],"arxiv":["1706.01822"]},"oa_version":"Preprint","date_published":"2018-01-01T00:00:00Z","publication":"EPL","issue":"1","publist_id":"7432","author":[{"full_name":"Napiórkowski, Marcin M","first_name":"Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Robin","full_name":"Reuvers, Robin","last_name":"Reuvers"},{"last_name":"Solovej","full_name":"Solovej, Jan","first_name":"Jan"}],"doi":"10.1209/0295-5075/121/10007","publisher":"IOP Publishing Ltd.","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","article_processing_charge":"No","main_file_link":[{"url":"https://arxiv.org/abs/1706.01822","open_access":"1"}],"scopus_import":"1","year":"2018","date_created":"2018-12-11T11:46:15Z","quality_controlled":"1","project":[{"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_updated":"2023-09-08T13:30:51Z","isi":1,"volume":121,"department":[{"_id":"RoSe"}],"acknowledgement":"We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).","_id":"399","month":"01","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","oa":1,"article_type":"original","day":"01","citation":{"ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. <i>EPL</i>. 2018;121(1). doi:<a href=\"https://doi.org/10.1209/0295-5075/121/10007\">10.1209/0295-5075/121/10007</a>","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","mla":"Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” <i>EPL</i>, vol. 121, no. 1, 10007, IOP Publishing Ltd., 2018, doi:<a href=\"https://doi.org/10.1209/0295-5075/121/10007\">10.1209/0295-5075/121/10007</a>.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” <i>EPL</i>, vol. 121, no. 1. IOP Publishing Ltd., 2018.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.","apa":"Napiórkowski, M. M., Reuvers, R., &#38; Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. <i>EPL</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1209/0295-5075/121/10007\">https://doi.org/10.1209/0295-5075/121/10007</a>","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” <i>EPL</i>. IOP Publishing Ltd., 2018. <a href=\"https://doi.org/10.1209/0295-5075/121/10007\">https://doi.org/10.1209/0295-5075/121/10007</a>."},"intvolume":"       121","status":"public","article_number":"10007","abstract":[{"text":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.","lang":"eng"}]},{"date_published":"2018-09-04T00:00:00Z","oa_version":"Published Version","author":[{"last_name":"Moser","first_name":"Thomas","full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"}],"ddc":["515","530","519"],"publist_id":"8002","publisher":"Institute of Science and Technology Austria","doi":"10.15479/AT:ISTA:th_1043","type":"dissertation","file_date_updated":"2020-07-14T12:46:37Z","language":[{"iso":"eng"}],"article_processing_charge":"No","publication_identifier":{"issn":["2663-337X"]},"project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"date_updated":"2023-09-27T12:34:14Z","date_created":"2018-12-11T11:44:22Z","year":"2018","page":"115","file":[{"file_size":851164,"creator":"dernst","relation":"main_file","checksum":"fbd8c747d148b468a21213b7cf175225","content_type":"application/pdf","file_id":"6256","date_created":"2019-04-09T07:45:38Z","access_level":"open_access","date_updated":"2020-07-14T12:46:37Z","file_name":"2018_Thesis_Moser.pdf"},{"creator":"dernst","file_size":1531516,"checksum":"c28e16ecfc1126d3ce324ec96493c01e","relation":"source_file","access_level":"closed","date_updated":"2020-07-14T12:46:37Z","content_type":"application/zip","date_created":"2019-04-09T07:45:38Z","file_id":"6257","file_name":"2018_Thesis_Moser_Source.zip"}],"department":[{"_id":"RoSe"}],"alternative_title":["ISTA Thesis"],"pubrep_id":"1043","month":"09","_id":"52","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"5856"},{"id":"154","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"1198"},{"status":"public","relation":"part_of_dissertation","id":"741"}]},"title":"Point interactions in systems of fermions","oa":1,"has_accepted_license":"1","day":"04","citation":{"short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">10.15479/AT:ISTA:th_1043</a>","chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. <a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">https://doi.org/10.15479/AT:ISTA:th_1043</a>.","apa":"Moser, T. (2018). <i>Point interactions in systems of fermions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">https://doi.org/10.15479/AT:ISTA:th_1043</a>","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria.","mla":"Moser, Thomas. <i>Point Interactions in Systems of Fermions</i>. Institute of Science and Technology Austria, 2018, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">10.15479/AT:ISTA:th_1043</a>.","ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018."},"supervisor":[{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"degree_awarded":"PhD","abstract":[{"lang":"eng","text":"In this thesis we will discuss systems of point interacting fermions, their stability and other spectral properties. Whereas for bosons a point interacting system is always unstable this ques- tion is more subtle for a gas of two species of fermions. In particular the answer depends on the mass ratio between these two species. Most of this work will be focused on the N + M model which consists of two species of fermions with N, M particles respectively which interact via point interactions. We will introduce this model using a formal limit and discuss the N + 1 system in more detail. In particular, we will show that for mass ratios above a critical one, which does not depend on the particle number, the N + 1 system is stable. In the context of this model we will prove rigorous versions of Tan relations which relate various quantities of the point-interacting model. By restricting the N + 1 system to a box we define a finite density model with point in- teractions. In the context of this system we will discuss the energy change when introducing a point-interacting impurity into a system of non-interacting fermions. We will see that this change in energy is bounded independently of the particle number and in particular the bound only depends on the density and the scattering length. As another special case of the N + M model we will show stability of the 2 + 2 model for mass ratios in an interval around one. Further we will investigate a different model of point interactions which was discussed before in the literature and which is, contrary to the N + M model, not given by a limiting procedure but is based on a Dirichlet form. We will show that this system behaves trivially in the thermodynamic limit, i.e. the free energy per particle is the same as the one of the non-interacting system."}],"status":"public"},{"scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1604.05240","open_access":"1"}],"publication_identifier":{"issn":["00217824"]},"article_processing_charge":"No","volume":108,"isi":1,"date_updated":"2023-09-27T12:52:07Z","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF"}],"page":"662 - 688","quality_controlled":"1","date_created":"2018-12-11T11:48:15Z","year":"2017","author":[{"full_name":"Nam, Phan","first_name":"Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"}],"publist_id":"6928","issue":"5","publication":"Journal de Mathématiques Pures et Appliquées","date_published":"2017-11-01T00:00:00Z","oa_version":"Submitted Version","external_id":{"isi":["000414113600003"]},"type":"journal_article","language":[{"iso":"eng"}],"publisher":"Elsevier","doi":"10.1016/j.matpur.2017.05.013","intvolume":"       108","citation":{"short":"P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688.","ama":"Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. <i>Journal de Mathématiques Pures et Appliquées</i>. 2017;108(5):662-688. doi:<a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">10.1016/j.matpur.2017.05.013</a>","apa":"Nam, P., &#38; Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov correction to mean field dynamics. <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">https://doi.org/10.1016/j.matpur.2017.05.013</a>","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.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” <i>Journal de Mathématiques Pures et Appliquées</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">https://doi.org/10.1016/j.matpur.2017.05.013</a>.","mla":"Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:<a href=\"https://doi.org/10.1016/j.matpur.2017.05.013\">10.1016/j.matpur.2017.05.013</a>.","ieee":"P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” <i>Journal de Mathématiques Pures et Appliquées</i>, vol. 108, no. 5. Elsevier, pp. 662–688, 2017."},"day":"01","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"}],"status":"public","department":[{"_id":"RoSe"}],"oa":1,"title":"A note on the validity of Bogoliubov correction to mean field dynamics","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","month":"11","_id":"739"},{"day":"01","has_accepted_license":"1","intvolume":"       356","citation":{"mla":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” <i>Communications in Mathematical Physics</i>, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:<a href=\"https://doi.org/10.1007/s00220-017-2980-0\">10.1007/s00220-017-2980-0</a>.","ieee":"T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” <i>Communications in Mathematical Physics</i>, vol. 356, no. 1. Springer, pp. 329–355, 2017.","apa":"Moser, T., &#38; Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-017-2980-0\">https://doi.org/10.1007/s00220-017-2980-0</a>","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.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” <i>Communications in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s00220-017-2980-0\">https://doi.org/10.1007/s00220-017-2980-0</a>.","ama":"Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. <i>Communications in Mathematical Physics</i>. 2017;356(1):329-355. doi:<a href=\"https://doi.org/10.1007/s00220-017-2980-0\">10.1007/s00220-017-2980-0</a>","short":"T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355."},"ec_funded":1,"status":"public","abstract":[{"lang":"eng","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."}],"department":[{"_id":"RoSe"}],"pubrep_id":"880","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"741","month":"11","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"oa":1,"title":"Stability of a fermionic N+1 particle system with point interactions","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No","publication_identifier":{"issn":["00103616"]},"scopus_import":"1","page":"329 - 355","quality_controlled":"1","year":"2017","date_created":"2018-12-11T11:48:15Z","date_updated":"2023-09-27T12:34:15Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"volume":356,"isi":1,"file":[{"content_type":"application/pdf","file_id":"4841","date_created":"2018-12-12T10:10:50Z","date_updated":"2020-07-14T12:47:57Z","access_level":"open_access","file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf","file_size":952639,"creator":"system","relation":"main_file","checksum":"0fd9435400f91e9b3c5346319a2d24e3"}],"external_id":{"isi":["000409821300010"]},"oa_version":"Published Version","date_published":"2017-11-01T00:00:00Z","publist_id":"6926","issue":"1","publication":"Communications in Mathematical Physics","ddc":["539"],"author":[{"full_name":"Moser, Thomas","first_name":"Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"doi":"10.1007/s00220-017-2980-0","publisher":"Springer","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:47:57Z","type":"journal_article"},{"author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan","first_name":"Phan","last_name":"Nam"},{"full_name":"Van Den Bosch, Hanne","first_name":"Hanne","last_name":"Van Den Bosch"}],"publist_id":"6300","issue":"2","publication":"Mathematical Physics, Analysis and Geometry","date_published":"2017-06-01T00:00:00Z","external_id":{"isi":["000401270000004"]},"oa_version":"Submitted Version","type":"journal_article","language":[{"iso":"eng"}],"publisher":"Springer","doi":"10.1007/s11040-017-9238-0","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1603.07368","open_access":"1"}],"publication_identifier":{"issn":["13850172"]},"article_processing_charge":"No","volume":20,"isi":1,"date_updated":"2023-09-20T11:53:35Z","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"}],"quality_controlled":"1","year":"2017","date_created":"2018-12-11T11:50:02Z","department":[{"_id":"RoSe"}],"title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","oa":1,"publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"1079","month":"06","citation":{"short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017).","ama":"Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. 2017;20(2). doi:<a href=\"https://doi.org/10.1007/s11040-017-9238-0\">10.1007/s11040-017-9238-0</a>","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>.","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.","apa":"Nam, P., &#38; Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>","ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2. Springer, 2017.","mla":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2, 6, Springer, 2017, doi:<a href=\"https://doi.org/10.1007/s11040-017-9238-0\">10.1007/s11040-017-9238-0</a>."},"intvolume":"        20","day":"01","abstract":[{"lang":"eng","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."}],"article_number":"6","status":"public"},{"type":"journal_article","language":[{"iso":"eng"}],"publisher":"American Physical Society","doi":"10.1103/PhysRevA.95.033608","author":[{"first_name":"Xiang","full_name":"Li, Xiang","last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"first_name":"Mikhail","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"issue":"3","publist_id":"6242","publication":"Physical Review A","date_published":"2017-03-06T00:00:00Z","external_id":{"isi":["000395981900009"]},"oa_version":"Published Version","isi":1,"volume":95,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF"},{"_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902","call_identifier":"FWF"}],"date_updated":"2023-09-20T11:30:58Z","year":"2017","date_created":"2018-12-11T11:50:15Z","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1610.04908"}],"scopus_import":"1","publication_identifier":{"issn":["24699926"]},"article_processing_charge":"No","publication_status":"published","oa":1,"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8958"}]},"title":"Angular self-localization of impurities rotating in a bosonic bath","_id":"1120","month":"03","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"abstract":[{"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. ","lang":"eng"}],"status":"public","article_number":"033608","ec_funded":1,"citation":{"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. <i>Physical Review A</i>. 2017;95(3). doi:<a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">10.1103/PhysRevA.95.033608</a>","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.","chicago":"Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” <i>Physical Review A</i>. American Physical Society, 2017. <a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">https://doi.org/10.1103/PhysRevA.95.033608</a>.","apa":"Li, X., Seiringer, R., &#38; Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">https://doi.org/10.1103/PhysRevA.95.033608</a>","mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” <i>Physical Review A</i>, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:<a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">10.1103/PhysRevA.95.033608</a>.","ieee":"X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” <i>Physical Review A</i>, vol. 95, no. 3. American Physical Society, 2017."},"intvolume":"        95","day":"06"},{"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"}],"status":"public","has_accepted_license":"1","day":"01","citation":{"ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3. Springer, pp. 533–552, 2017.","mla":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>.","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>.","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.","apa":"Moser, T., &#38; Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. 2017;107(3):533-552. doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552."},"intvolume":"       107","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"1198","month":"03","title":"Triviality of a model of particles with point interactions in the thermodynamic limit","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"52"}]},"oa":1,"publication_status":"published","department":[{"_id":"RoSe"}],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","pubrep_id":"723","date_updated":"2023-09-20T11:18:13Z","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"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":" 533 - 552","quality_controlled":"1","year":"2017","date_created":"2018-12-11T11:50:40Z","volume":107,"file":[{"relation":"main_file","checksum":"c0c835def162c1bc52f978fad26e3c2f","file_size":587207,"creator":"system","file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","file_id":"5296","content_type":"application/pdf","date_created":"2018-12-12T10:17:40Z","date_updated":"2020-07-14T12:44:38Z","access_level":"open_access"}],"isi":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publication_identifier":{"issn":["03779017"]},"publisher":"Springer","doi":"10.1007/s11005-016-0915-x","file_date_updated":"2020-07-14T12:44:38Z","type":"journal_article","language":[{"iso":"eng"}],"date_published":"2017-03-01T00:00:00Z","external_id":{"isi":["000394280200007"]},"oa_version":"Published Version","ddc":["510","539"],"author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas","full_name":"Moser, Thomas"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publication":"Letters in Mathematical Physics","issue":"3","publist_id":"6152"},{"citation":{"mla":"Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:<a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">10.4310/ATMP.2017.v21.n3.a4</a>.","ieee":"P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” <i>Advances in Theoretical and Mathematical Physics</i>, vol. 21, no. 3. International Press, pp. 683–738, 2017.","apa":"Nam, P., &#38; Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. <i>Advances in Theoretical and Mathematical Physics</i>. International Press. <a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">https://doi.org/10.4310/ATMP.2017.v21.n3.a4</a>","ista":"Nam P, Napiórkowski MM. 2017. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 21(3), 683–738.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” <i>Advances in Theoretical and Mathematical Physics</i>. International Press, 2017. <a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">https://doi.org/10.4310/ATMP.2017.v21.n3.a4</a>.","ama":"Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of interacting bosons. <i>Advances in Theoretical and Mathematical Physics</i>. 2017;21(3):683-738. doi:<a href=\"https://doi.org/10.4310/ATMP.2017.v21.n3.a4\">10.4310/ATMP.2017.v21.n3.a4</a>","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738."},"intvolume":"        21","day":"01","status":"public","abstract":[{"text":"We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β &lt; 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory.","lang":"eng"}],"ec_funded":1,"department":[{"_id":"RoSe"}],"title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","oa":1,"publication_status":"published","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","month":"01","_id":"484","publication_identifier":{"issn":["10950761"]},"scopus_import":1,"main_file_link":[{"url":"https://arxiv.org/abs/1509.04631","open_access":"1"}],"volume":21,"quality_controlled":"1","page":"683 - 738","year":"2017","date_created":"2018-12-11T11:46:43Z","date_updated":"2021-01-12T08:00:58Z","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF"}],"issue":"3","publication":"Advances in Theoretical and Mathematical Physics","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","date_published":"2017-01-01T00:00:00Z","language":[{"iso":"eng"}],"type":"journal_article","doi":"10.4310/ATMP.2017.v21.n3.a4","publisher":"International Press"},{"month":"06","_id":"1259","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publication_status":"published","title":"Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit","oa":1,"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.","department":[{"_id":"RoSe"}],"pubrep_id":"702","status":"public","article_number":"13","abstract":[{"lang":"eng","text":"We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose–Einstein condensate of fermion pairs. The latter can be described by means of the Gross–Pitaevskii energy functional."}],"day":"01","has_accepted_license":"1","citation":{"chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11040-016-9209-x\">https://doi.org/10.1007/s11040-016-9209-x</a>.","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.","apa":"Bräunlich, G., Hainzl, C., &#38; Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-016-9209-x\">https://doi.org/10.1007/s11040-016-9209-x</a>","mla":"Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 19, no. 2, 13, Springer, 2016, doi:<a href=\"https://doi.org/10.1007/s11040-016-9209-x\">10.1007/s11040-016-9209-x</a>.","ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 19, no. 2. Springer, 2016.","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. <i>Mathematical Physics, Analysis and Geometry</i>. 2016;19(2). doi:<a href=\"https://doi.org/10.1007/s11040-016-9209-x\">10.1007/s11040-016-9209-x</a>"},"intvolume":"        19","doi":"10.1007/s11040-016-9209-x","publisher":"Springer","language":[{"iso":"eng"}],"type":"journal_article","file_date_updated":"2020-07-14T12:44:42Z","oa_version":"Published Version","date_published":"2016-06-01T00:00:00Z","publist_id":"6066","issue":"2","publication":"Mathematical Physics, Analysis and Geometry","author":[{"last_name":"Bräunlich","first_name":"Gerhard","full_name":"Bräunlich, Gerhard"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"ddc":["510","539"],"year":"2016","date_created":"2018-12-11T11:50:59Z","quality_controlled":"1","project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27"}],"date_updated":"2021-01-12T06:49:27Z","file":[{"file_name":"IST-2016-702-v1+1_s11040-016-9209-x.pdf","access_level":"open_access","date_updated":"2020-07-14T12:44:42Z","date_created":"2018-12-12T10:09:13Z","file_id":"4736","content_type":"application/pdf","checksum":"9954f685cc25c58d7f1712c67b47ad8d","relation":"main_file","creator":"system","file_size":506242}],"volume":19,"article_processing_charge":"Yes (via OA deal)","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"scopus_import":1},{"publisher":"Springer","doi":"10.1007/s11005-016-0860-8","file_date_updated":"2020-07-14T12:44:42Z","type":"journal_article","language":[{"iso":"eng"}],"date_published":"2016-08-01T00:00:00Z","oa_version":"Published Version","ddc":["510","539"],"author":[{"first_name":"Rupert","full_name":"Frank, Rupert","last_name":"Frank"},{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","first_name":"Phan","full_name":"Nam, Phan"}],"issue":"8","publication":"Letters in Mathematical Physics","publist_id":"6054","date_updated":"2021-01-12T06:49:30Z","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"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":"1033 - 1036","quality_controlled":"1","date_created":"2018-12-11T11:51:02Z","year":"2016","volume":106,"file":[{"creator":"system","file_size":349464,"checksum":"d740a6a226e0f5f864f40e3e269d3cc0","relation":"main_file","date_updated":"2020-07-14T12:44:42Z","access_level":"open_access","date_created":"2018-12-12T10:11:09Z","file_id":"4863","content_type":"application/pdf","file_name":"IST-2016-698-v1+1_s11005-016-0860-8.pdf"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"scopus_import":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"08","_id":"1267","oa":1,"title":"Nonexistence of large nuclei in the liquid drop model","publication_status":"published","acknowledgement":"Open access funding provided by Institute of Science and Technology Austria.\r\n","department":[{"_id":"RoSe"}],"pubrep_id":"698","abstract":[{"lang":"eng","text":"We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result."}],"status":"public","has_accepted_license":"1","day":"01","intvolume":"       106","citation":{"chicago":"Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” <i>Letters in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11005-016-0860-8\">https://doi.org/10.1007/s11005-016-0860-8</a>.","apa":"Frank, R., Killip, R., &#38; Nam, P. (2016). Nonexistence of large nuclei in the liquid drop model. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0860-8\">https://doi.org/10.1007/s11005-016-0860-8</a>","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.” <i>Letters in Mathematical Physics</i>, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:<a href=\"https://doi.org/10.1007/s11005-016-0860-8\">10.1007/s11005-016-0860-8</a>.","ieee":"R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid drop model,” <i>Letters in Mathematical Physics</i>, vol. 106, no. 8. Springer, pp. 1033–1036, 2016.","short":"R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036.","ama":"Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model. <i>Letters in Mathematical Physics</i>. 2016;106(8):1033-1036. doi:<a href=\"https://doi.org/10.1007/s11005-016-0860-8\">10.1007/s11005-016-0860-8</a>"}},{"status":"public","abstract":[{"text":"We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p &gt; 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity.","lang":"eng"}],"citation":{"mla":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” <i>Communications in Mathematical Physics</i>, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:<a href=\"https://doi.org/10.1007/s00220-016-2665-0\">10.1007/s00220-016-2665-0</a>.","ieee":"A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” <i>Communications in Mathematical Physics</i>, vol. 347, no. 3. Springer, pp. 983–1007, 2016.","chicago":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” <i>Communications in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s00220-016-2665-0\">https://doi.org/10.1007/s00220-016-2665-0</a>.","apa":"Giuliani, A., &#38; Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-016-2665-0\">https://doi.org/10.1007/s00220-016-2665-0</a>","ista":"Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.","ama":"Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. <i>Communications in Mathematical Physics</i>. 2016;347(3):983-1007. doi:<a href=\"https://doi.org/10.1007/s00220-016-2665-0\">10.1007/s00220-016-2665-0</a>","short":"A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007."},"intvolume":"       347","day":"01","has_accepted_license":"1","title":"Periodic striped ground states in Ising models with competing interactions","oa":1,"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"11","_id":"1291","pubrep_id":"688","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.","department":[{"_id":"RoSe"}],"volume":347,"file":[{"file_size":794983,"creator":"system","relation":"main_file","checksum":"3c6e08c048fc462e312788be72874bb1","file_id":"4725","content_type":"application/pdf","date_created":"2018-12-12T10:09:02Z","date_updated":"2020-07-14T12:44:42Z","access_level":"open_access","file_name":"IST-2016-688-v1+1_s00220-016-2665-0.pdf"}],"page":"983 - 1007","quality_controlled":"1","year":"2016","date_created":"2018-12-11T11:51:11Z","date_updated":"2021-01-12T06:49:40Z","project":[{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","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"}],"scopus_import":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:44:42Z","type":"journal_article","doi":"10.1007/s00220-016-2665-0","publisher":"Springer","issue":"3","publist_id":"6025","publication":"Communications in Mathematical Physics","ddc":["510","530"],"author":[{"full_name":"Giuliani, Alessandro","first_name":"Alessandro","last_name":"Giuliani"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"oa_version":"Published Version","date_published":"2016-11-01T00:00:00Z"},{"publication":"Journal of Functional Analysis","publist_id":"5626","issue":"11","author":[{"last_name":"Nam","full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Napiórkowski","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"oa_version":"Submitted Version","date_published":"2016-06-01T00:00:00Z","language":[{"iso":"eng"}],"type":"journal_article","doi":"10.1016/j.jfa.2015.12.007","publisher":"Academic Press","scopus_import":1,"main_file_link":[{"url":"http://arxiv.org/abs/1508.07321","open_access":"1"}],"volume":270,"quality_controlled":"1","page":"4340 - 4368","year":"2016","date_created":"2018-12-11T11:52:38Z","date_updated":"2021-01-12T06:51:30Z","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"acknowledgement":"We thank Jan Dereziński for several inspiring discussions and useful remarks. We thank the referee for helpful comments. J.P.S. thanks the Erwin Schrödinger Institute for the hospitality during the thematic programme “Quantum many-body systems, random matrices, and disorder”. We gratefully acknowledge the financial supports by the European Union's Seventh Framework Programme under the ERC Advanced Grant ERC-2012-AdG 321029 (J.P.S.) and the REA grant agreement No. 291734 (P.T.N.), as well as the support of the National Science Center (NCN) grant No. 2012/07/N/ST1/03185 and the Austrian Science Fund (FWF) project No. P 27533-N27 (M.N.).","department":[{"_id":"RoSe"}],"oa":1,"title":"Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations","publication_status":"published","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"1545","month":"06","citation":{"short":"P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270 (2016) 4340–4368.","ama":"Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. <i>Journal of Functional Analysis</i>. 2016;270(11):4340-4368. doi:<a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">10.1016/j.jfa.2015.12.007</a>","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.” <i>Journal of Functional Analysis</i>. Academic Press, 2016. <a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">https://doi.org/10.1016/j.jfa.2015.12.007</a>.","apa":"Nam, P., Napiórkowski, M. M., &#38; Solovej, J. (2016). Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. <i>Journal of Functional Analysis</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">https://doi.org/10.1016/j.jfa.2015.12.007</a>","mla":"Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” <i>Journal of Functional Analysis</i>, vol. 270, no. 11, Academic Press, 2016, pp. 4340–68, doi:<a href=\"https://doi.org/10.1016/j.jfa.2015.12.007\">10.1016/j.jfa.2015.12.007</a>.","ieee":"P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations,” <i>Journal of Functional Analysis</i>, vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016."},"intvolume":"       270","day":"01","status":"public","abstract":[{"text":"We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute.","lang":"eng"}],"ec_funded":1}]