[{"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1742-5468"]},"oa":1,"ec_funded":1,"article_number":"063101","publication":"Journal of Statistical Mechanics: Theory and Experiment","day":"13","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1088/1742-5468/ab190d","title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02209"}],"year":"2019","department":[{"_id":"RoSe"}],"arxiv":1,"project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020"}],"citation":{"short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019).","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>.","ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2019;2019(6). doi:<a href=\"https://doi.org/10.1088/1742-5468/ab190d\">10.1088/1742-5468/ab190d</a>","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.","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2019, no. 6. IOP Publishing, 2019.","apa":"Mysliwy, K., &#38; Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2019. <a href=\"https://doi.org/10.1088/1742-5468/ab190d\">https://doi.org/10.1088/1742-5468/ab190d</a>."},"publisher":"IOP Publishing","article_processing_charge":"No","type":"journal_article","isi":1,"status":"public","month":"06","date_updated":"2023-08-29T07:19:13Z","oa_version":"Preprint","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"}],"date_created":"2019-09-01T22:00:59Z","external_id":{"isi":["000471650100001"],"arxiv":["1810.02209"]},"publication_status":"published","scopus_import":"1","date_published":"2019-06-13T00:00:00Z","intvolume":"      2019","author":[{"last_name":"Mysliwy","first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof"},{"first_name":"Marek","full_name":"Napiórkowski, Marek","last_name":"Napiórkowski"}],"volume":2019,"_id":"6840","quality_controlled":"1","issue":"6"},{"ec_funded":1,"article_type":"original","article_number":"19","publication_identifier":{"eissn":["15729656"],"issn":["13850172"]},"language":[{"iso":"eng"}],"oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","doi":"10.1007/s11040-018-9275-3","publication":"Mathematical Physics Analysis and Geometry","day":"01","title":"Stability of the 2+2 fermionic system with point interactions","year":"2018","department":[{"_id":"RoSe"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"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"}],"acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","type":"journal_article","citation":{"short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (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>.","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>","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","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.","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>."},"has_accepted_license":"1","publisher":"Springer","article_processing_charge":"No","isi":1,"ddc":["530"],"status":"public","month":"09","date_updated":"2023-09-19T09:31:15Z","oa_version":"Published Version","publist_id":"7767","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"related_material":{"record":[{"id":"52","relation":"dissertation_contains","status":"public"}]},"file":[{"file_size":496973,"date_updated":"2020-07-14T12:45:01Z","content_type":"application/pdf","file_name":"2018_MathPhysics_Moser.pdf","relation":"main_file","file_id":"5729","date_created":"2018-12-17T16:49:02Z","access_level":"open_access","creator":"dernst","checksum":"411c4db5700d7297c9cd8ebc5dd29091"}],"scopus_import":"1","file_date_updated":"2020-07-14T12:45:01Z","abstract":[{"lang":"eng","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."}],"date_created":"2018-12-11T11:44:55Z","publication_status":"published","external_id":{"isi":["000439639700001"]},"_id":"154","quality_controlled":"1","issue":"3","date_published":"2018-09-01T00:00:00Z","intvolume":"        21","author":[{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas","last_name":"Moser"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"volume":21},{"oa":1,"publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"language":[{"iso":"eng"}],"article_type":"original","ec_funded":1,"publication":"Journal de l'Ecole Polytechnique - Mathematiques","day":"01","doi":"10.5802/jep.64","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Statistical mechanics of the uniform electron gas","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"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.","year":"2018","department":[{"_id":"RoSe"}],"arxiv":1,"article_processing_charge":"No","citation":{"short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","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>.","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 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>","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.","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>","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>."},"has_accepted_license":"1","publisher":"Ecole Polytechnique","type":"journal_article","tmp":{"image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","short":"CC BY-ND (4.0)"},"file":[{"access_level":"open_access","date_created":"2018-12-17T16:38:18Z","creator":"dernst","checksum":"1ba7cccdf3900f42c4f715ae75d6813c","file_id":"5726","relation":"main_file","content_type":"application/pdf","date_updated":"2020-07-14T12:45:16Z","file_size":843938,"file_name":"2018_JournaldeLecoleMath_Lewi.pdf"}],"date_updated":"2023-10-17T08:05:28Z","oa_version":"Published Version","publist_id":"7741","ddc":["510"],"month":"07","status":"public","external_id":{"arxiv":["1705.10676"]},"date_created":"2018-12-11T11:45:03Z","publication_status":"published","file_date_updated":"2020-07-14T12:45:16Z","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"}],"scopus_import":"1","intvolume":"         5","date_published":"2018-07-01T00:00:00Z","author":[{"full_name":"Lewi, Mathieu","first_name":"Mathieu","last_name":"Lewi"},{"last_name":"Lieb","full_name":"Lieb, Élliott","first_name":"Élliott"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"page":"79 - 116","volume":5,"license":"https://creativecommons.org/licenses/by-nd/4.0/","quality_controlled":"1","_id":"180"},{"project":[{"call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"year":"2018","department":[{"_id":"RoSe"}],"arxiv":1,"main_file_link":[{"url":"https://arxiv.org/abs/1511.05953","open_access":"1"}],"title":"The Bogoliubov free energy functional II: The dilute Limit","doi":"10.1007/s00220-017-3064-x","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Communications in Mathematical Physics","day":"01","oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["00103616"]},"issue":"1","quality_controlled":"1","_id":"554","date_published":"2018-05-01T00:00:00Z","intvolume":"       360","author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"},{"last_name":"Reuvers","first_name":"Robin","full_name":"Reuvers, Robin"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan"}],"volume":360,"page":"347-403","scopus_import":1,"publication_status":"published","date_created":"2018-12-11T11:47:09Z","external_id":{"arxiv":["1511.05953"]},"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.)."}],"date_updated":"2021-01-12T08:02:35Z","publist_id":"7260","oa_version":"Submitted Version","month":"05","status":"public","type":"journal_article","citation":{"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>","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.","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.","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>","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","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>."},"publisher":"Springer"},{"doi":"10.1103/physrevb.98.224506","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"12","publication":"Physical Review B","article_number":"224506","ec_funded":1,"oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734","call_identifier":"FP7"},{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"}],"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"arxiv":1,"year":"2018","main_file_link":[{"url":"https://arxiv.org/abs/1809.01204","open_access":"1"}],"title":"Theory of the rotating polaron: Spectrum and self-localization","oa_version":"Preprint","date_updated":"2023-09-19T14:29:03Z","month":"12","status":"public","isi":1,"type":"journal_article","article_processing_charge":"No","publisher":"American Physical Society","citation":{"ama":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating polaron: Spectrum and self-localization. <i>Physical Review B</i>. 2018;98(22). doi:<a href=\"https://doi.org/10.1103/physrevb.98.224506\">10.1103/physrevb.98.224506</a>","ista":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22), 224506.","mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” <i>Physical Review B</i>, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:<a href=\"https://doi.org/10.1103/physrevb.98.224506\">10.1103/physrevb.98.224506</a>.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","chicago":"Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” <i>Physical Review B</i>. American Physical Society, 2018. <a href=\"https://doi.org/10.1103/physrevb.98.224506\">https://doi.org/10.1103/physrevb.98.224506</a>.","apa":"Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., &#38; Lemeshko, M. (2018). Theory of the rotating polaron: Spectrum and self-localization. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.98.224506\">https://doi.org/10.1103/physrevb.98.224506</a>","ieee":"E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” <i>Physical Review B</i>, vol. 98, no. 22. American Physical Society, 2018."},"quality_controlled":"1","issue":"22","_id":"5983","volume":98,"author":[{"last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","first_name":"Enderalp"},{"last_name":"Midya","id":"456187FC-F248-11E8-B48F-1D18A9856A87","first_name":"Bikashkali","full_name":"Midya, Bikashkali"},{"orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert"},{"full_name":"Leopold, Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","last_name":"Leopold"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"}],"intvolume":"        98","date_published":"2018-12-12T00:00:00Z","scopus_import":"1","publication_status":"published","external_id":{"isi":["000452992700008"],"arxiv":["1809.01204"]},"date_created":"2019-02-14T10:37:09Z","abstract":[{"text":"We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. 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.","lang":"eng"}]},{"type":"journal_article","article_processing_charge":"No","publisher":"Springer Nature","citation":{"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.","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>","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.","ama":"Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. <i>Archive for Rational Mechanics and Analysis</i>. 2018;229(3):1037-1090. doi:<a href=\"https://doi.org/10.1007/s00205-018-1232-6\">10.1007/s00205-018-1232-6</a>","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:<a href=\"https://doi.org/10.1007/s00205-018-1232-6\">10.1007/s00205-018-1232-6</a>.","short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090."},"oa_version":"Preprint","date_updated":"2023-09-19T14:33:12Z","month":"09","status":"public","isi":1,"scopus_import":"1","publication_status":"published","date_created":"2019-02-14T13:40:53Z","external_id":{"isi":["000435367300003"],"arxiv":["1511.05935"]},"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"}],"quality_controlled":"1","issue":"3","_id":"6002","author":[{"last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M","first_name":"Marcin M"},{"full_name":"Reuvers, Robin","first_name":"Robin","last_name":"Reuvers"},{"last_name":"Solovej","first_name":"Jan Philip","full_name":"Solovej, Jan Philip"}],"page":"1037-1090","volume":229,"intvolume":"       229","date_published":"2018-09-01T00:00:00Z","oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"doi":"10.1007/s00205-018-1232-6","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"01","publication":"Archive for Rational Mechanics and Analysis","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05935"}],"title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","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"}],"arxiv":1,"department":[{"_id":"RoSe"}],"year":"2018"},{"month":"10","status":"public","oa_version":"Preprint","publist_id":"8045","date_updated":"2021-01-12T06:48:16Z","publisher":"Springer","citation":{"chicago":"Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. <a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">https://doi.org/10.1007/978-3-030-01602-9_9</a>.","apa":"Leopold, N. K., &#38; 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. <a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">https://doi.org/10.1007/978-3-030-01602-9_9</a>","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.","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.","ama":"Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised radiation fields. In: Vol 270. Springer; 2018:185-214. doi:<a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">10.1007/978-3-030-01602-9_9</a>","mla":"Leopold, Nikolai K., and Peter Pickl. <i>Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields</i>. Vol. 270, Springer, 2018, pp. 185–214, doi:<a href=\"https://doi.org/10.1007/978-3-030-01602-9_9\">10.1007/978-3-030-01602-9_9</a>.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214."},"type":"conference","volume":270,"page":"185 - 214","author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","last_name":"Leopold"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"}],"conference":{"start_date":"2017-03-30","location":"Munich, Germany","name":"MaLiQS: Macroscopic Limits of Quantum Systems","end_date":"2017-04-01"},"intvolume":"       270","date_published":"2018-10-27T00:00:00Z","_id":"11","quality_controlled":"1","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"}],"publication_status":"published","external_id":{"arxiv":["1806.10843"]},"date_created":"2018-12-11T11:44:08Z","scopus_import":1,"day":"27","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1007/978-3-030-01602-9_9","language":[{"iso":"eng"}],"oa":1,"ec_funded":1,"department":[{"_id":"RoSe"}],"arxiv":1,"year":"2018","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"}],"title":"Mean-field limits of particles in interaction with quantised radiation fields","main_file_link":[{"url":"https://arxiv.org/abs/1806.10843","open_access":"1"}]},{"article_processing_charge":"No","has_accepted_license":"1","publisher":"Springer","citation":{"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>.","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.","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>","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","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.","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>."},"type":"journal_article","file":[{"relation":"main_file","file_size":551996,"date_updated":"2020-07-14T12:45:55Z","content_type":"application/pdf","file_name":"2018_LettMathPhys_Lundholm.pdf","date_created":"2018-12-17T12:14:17Z","access_level":"open_access","creator":"dernst","checksum":"8beb9632fa41bbd19452f55f31286a31","file_id":"5698"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa_version":"Published Version","publist_id":"7586","date_updated":"2023-09-11T14:01:57Z","month":"05","status":"public","ddc":["510"],"isi":1,"external_id":{"isi":["000446491500008"],"arxiv":["1712.06218"]},"publication_status":"published","date_created":"2018-12-11T11:45:40Z","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."}],"file_date_updated":"2020-07-14T12:45:55Z","scopus_import":"1","author":[{"full_name":"Lundholm, Douglas","first_name":"Douglas","last_name":"Lundholm"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"volume":108,"page":"2523-2541","date_published":"2018-05-11T00:00:00Z","intvolume":"       108","quality_controlled":"1","issue":"11","_id":"295","oa":1,"language":[{"iso":"eng"}],"ec_funded":1,"day":"11","publication":"Letters in Mathematical Physics","doi":"10.1007/s11005-018-1091-y","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Fermionic behavior of ideal anyons","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.","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"}],"arxiv":1,"department":[{"_id":"RoSe"}],"year":"2018"},{"type":"journal_article","publisher":"IOP Publishing Ltd.","citation":{"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>.","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>","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.","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>","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.","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>."},"article_processing_charge":"No","status":"public","month":"01","isi":1,"publist_id":"7432","oa_version":"Preprint","date_updated":"2023-09-08T13:30:51Z","scopus_import":"1","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"}],"external_id":{"arxiv":["1706.01822"],"isi":["000460003000003"]},"date_created":"2018-12-11T11:46:15Z","publication_status":"published","_id":"399","issue":"1","quality_controlled":"1","author":[{"last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Reuvers","full_name":"Reuvers, Robin","first_name":"Robin"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan"}],"volume":121,"date_published":"2018-01-01T00:00:00Z","intvolume":"       121","article_type":"original","article_number":"10007","language":[{"iso":"eng"}],"oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","doi":"10.1209/0295-5075/121/10007","day":"01","publication":"EPL","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1706.01822"}],"title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","department":[{"_id":"RoSe"}],"arxiv":1,"year":"2018","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).","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"}]},{"_id":"400","issue":"5","quality_controlled":"1","intvolume":"        19","date_published":"2018-05-01T00:00:00Z","page":"1507 - 1527","volume":19,"author":[{"last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas"},{"first_name":"Alissa","full_name":"Geisinge, Alissa","last_name":"Geisinge"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"last_name":"Loss","full_name":"Loss, Michael","first_name":"Michael"}],"scopus_import":"1","file_date_updated":"2020-07-14T12:46:22Z","abstract":[{"lang":"eng","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."}],"date_created":"2018-12-11T11:46:15Z","external_id":{"isi":["000429799900008"]},"publication_status":"published","isi":1,"ddc":["510"],"month":"05","status":"public","date_updated":"2023-09-15T12:04:15Z","publist_id":"7429","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"file":[{"file_id":"4966","access_level":"open_access","date_created":"2018-12-12T10:12:47Z","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","creator":"system","date_updated":"2020-07-14T12:46:22Z","content_type":"application/pdf","file_size":582680,"file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","relation":"main_file"}],"type":"journal_article","citation":{"short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.","mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” <i>Annales Henri Poincare</i>, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:<a href=\"https://doi.org/10.1007/s00023-018-0665-7\">10.1007/s00023-018-0665-7</a>.","ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. <i>Annales Henri Poincare</i>. 2018;19(5):1507-1527. doi:<a href=\"https://doi.org/10.1007/s00023-018-0665-7\">10.1007/s00023-018-0665-7</a>","ista":"Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 19(5), 1507–1527.","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” <i>Annales Henri Poincare</i>, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., &#38; Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. <i>Annales Henri Poincare</i>. Springer. <a href=\"https://doi.org/10.1007/s00023-018-0665-7\">https://doi.org/10.1007/s00023-018-0665-7</a>","chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” <i>Annales Henri Poincare</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s00023-018-0665-7\">https://doi.org/10.1007/s00023-018-0665-7</a>."},"has_accepted_license":"1","publisher":"Springer","article_processing_charge":"Yes (via OA deal)","year":"2018","department":[{"_id":"RoSe"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"title":"Persistence of translational symmetry in the BCS model with radial pair interaction","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","doi":"10.1007/s00023-018-0665-7","pubrep_id":"1011","publication":"Annales Henri Poincare","day":"01","ec_funded":1,"language":[{"iso":"eng"}],"oa":1},{"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","arxiv":1,"department":[{"_id":"RoSe"}],"year":"2018","title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1606.07355"}],"day":"01","publication":"Communications on Pure and Applied Mathematics","doi":"10.1002/cpa.21717","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"language":[{"iso":"eng"}],"article_type":"original","volume":71,"page":"577 - 614","author":[{"full_name":"Frank, Rupert","first_name":"Rupert","last_name":"Frank"},{"first_name":"Nam","full_name":"Phan Thanh, Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Phan Thanh"},{"full_name":"Van Den Bosch, Hanne","first_name":"Hanne","last_name":"Van Den Bosch"}],"date_published":"2018-03-01T00:00:00Z","intvolume":"        71","quality_controlled":"1","issue":"3","_id":"446","external_id":{"isi":["000422675800004"],"arxiv":["1606.07355"]},"publication_status":"published","date_created":"2018-12-11T11:46:31Z","abstract":[{"lang":"eng","text":"We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z &gt; 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential."}],"publist_id":"7377","oa_version":"Preprint","date_updated":"2023-09-19T10:09:40Z","month":"03","status":"public","isi":1,"article_processing_charge":"No","publisher":"Wiley-Blackwell","citation":{"apa":"Frank, R., Nam, P., &#38; Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. <i>Communications on Pure and Applied Mathematics</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1002/cpa.21717\">https://doi.org/10.1002/cpa.21717</a>","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” <i>Communications on Pure and Applied Mathematics</i>, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.","chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” <i>Communications on Pure and Applied Mathematics</i>. Wiley-Blackwell, 2018. <a href=\"https://doi.org/10.1002/cpa.21717\">https://doi.org/10.1002/cpa.21717</a>.","mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” <i>Communications on Pure and Applied Mathematics</i>, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:<a href=\"https://doi.org/10.1002/cpa.21717\">10.1002/cpa.21717</a>.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. <i>Communications on Pure and Applied Mathematics</i>. 2018;71(3):577-614. doi:<a href=\"https://doi.org/10.1002/cpa.21717\">10.1002/cpa.21717</a>","ista":"Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614."},"type":"journal_article"},{"language":[{"iso":"eng"}],"oa":1,"pubrep_id":"993","day":"01","publication":"Annales Henri Poincare","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","doi":"10.1007/s00023-018-0644-z","title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations","alternative_title":["Annales Henri Poincare"],"department":[{"_id":"RoSe"}],"year":"2018","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The authors acknowledge support by ERC Advanced Grant 321029 and by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes equations.","has_accepted_license":"1","publisher":"Birkhäuser","citation":{"mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” <i>Annales Henri Poincare</i>, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:<a href=\"https://doi.org/10.1007/s00023-018-0644-z\">10.1007/s00023-018-0644-z</a>.","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. <i>Annales Henri Poincare</i>. 2018;19(4):1167-1214. doi:<a href=\"https://doi.org/10.1007/s00023-018-0644-z\">10.1007/s00023-018-0644-z</a>","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.","apa":"Benedikter, N. P., Sok, J., &#38; Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. <i>Annales Henri Poincare</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00023-018-0644-z\">https://doi.org/10.1007/s00023-018-0644-z</a>","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” <i>Annales Henri Poincare</i>, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.","chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” <i>Annales Henri Poincare</i>. Birkhäuser, 2018. <a href=\"https://doi.org/10.1007/s00023-018-0644-z\">https://doi.org/10.1007/s00023-018-0644-z</a>."},"article_processing_charge":"No","type":"journal_article","file":[{"content_type":"application/pdf","date_updated":"2020-07-14T12:46:31Z","file_size":923252,"file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","relation":"main_file","file_id":"4914","access_level":"open_access","date_created":"2018-12-12T10:11:57Z","creator":"system","checksum":"883eeccba8384ad7fcaa28761d99a0fa"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"month":"04","status":"public","ddc":["510","539"],"isi":1,"publist_id":"7367","oa_version":"Published Version","date_updated":"2023-09-19T10:07:41Z","abstract":[{"lang":"eng","text":"The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities"}],"file_date_updated":"2020-07-14T12:46:31Z","external_id":{"isi":["000427578900006"]},"date_created":"2018-12-11T11:46:34Z","publication_status":"published","scopus_import":"1","volume":19,"author":[{"first_name":"Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P","last_name":"Benedikter"},{"last_name":"Sok","first_name":"Jérémy","full_name":"Sok, Jérémy"},{"full_name":"Solovej, Jan","first_name":"Jan","last_name":"Solovej"}],"page":"1167 - 1214","intvolume":"        19","date_published":"2018-04-01T00:00:00Z","_id":"455","issue":"4","quality_controlled":"1"},{"doi":"10.15479/AT:ISTA:th_1043","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"04","supervisor":[{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"pubrep_id":"1043","degree_awarded":"PhD","oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663-337X"]},"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"}],"department":[{"_id":"RoSe"}],"year":"2018","alternative_title":["ISTA Thesis"],"title":"Point interactions in systems of fermions","oa_version":"Published Version","publist_id":"8002","date_updated":"2023-09-27T12:34:14Z","month":"09","status":"public","ddc":["515","530","519"],"file":[{"file_id":"6256","creator":"dernst","checksum":"fbd8c747d148b468a21213b7cf175225","access_level":"open_access","date_created":"2019-04-09T07:45:38Z","file_name":"2018_Thesis_Moser.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:46:37Z","file_size":851164,"relation":"main_file"},{"file_size":1531516,"content_type":"application/zip","date_updated":"2020-07-14T12:46:37Z","file_name":"2018_Thesis_Moser_Source.zip","relation":"source_file","file_id":"6257","date_created":"2019-04-09T07:45:38Z","access_level":"closed","creator":"dernst","checksum":"c28e16ecfc1126d3ce324ec96493c01e"}],"related_material":{"record":[{"relation":"part_of_dissertation","id":"5856","status":"public"},{"relation":"part_of_dissertation","id":"154","status":"public"},{"relation":"part_of_dissertation","id":"1198","status":"public"},{"status":"public","id":"741","relation":"part_of_dissertation"}]},"type":"dissertation","article_processing_charge":"No","has_accepted_license":"1","publisher":"Institute of Science and Technology Austria","citation":{"chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. <a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">https://doi.org/10.15479/AT:ISTA:th_1043</a>.","ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018.","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>","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_1043\">10.15479/AT:ISTA:th_1043</a>","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria.","short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","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>."},"_id":"52","author":[{"full_name":"Moser, Thomas","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser"}],"page":"115","date_published":"2018-09-04T00:00:00Z","publication_status":"published","date_created":"2018-12-11T11:44:22Z","file_date_updated":"2020-07-14T12:46:37Z","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."}]},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1063/1.4996580","day":"01","publication":" Journal of Mathematical Physics","ec_funded":1,"article_number":"081901","publication_identifier":{"issn":["00222488"]},"language":[{"iso":"eng"}],"oa":1,"department":[{"_id":"RoSe"}],"year":"2017","project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.04616"}],"title":"A lower bound for the BCS functional with boundary conditions at infinity","status":"public","month":"08","isi":1,"oa_version":"Submitted Version","publist_id":"6531","date_updated":"2024-02-28T13:07:56Z","type":"journal_article","publisher":"AIP Publishing","citation":{"chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” <i> Journal of Mathematical Physics</i>. AIP Publishing, 2017. <a href=\"https://doi.org/10.1063/1.4996580\">https://doi.org/10.1063/1.4996580</a>.","apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. <i> Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.4996580\">https://doi.org/10.1063/1.4996580</a>","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” <i> Journal of Mathematical Physics</i>, vol. 58, no. 8. AIP Publishing, 2017.","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity.  Journal of Mathematical Physics. 58(8), 081901.","ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. <i> Journal of Mathematical Physics</i>. 2017;58(8). doi:<a href=\"https://doi.org/10.1063/1.4996580\">10.1063/1.4996580</a>","short":"A. Deuchert,  Journal of Mathematical Physics 58 (2017).","mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” <i> Journal of Mathematical Physics</i>, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:<a href=\"https://doi.org/10.1063/1.4996580\">10.1063/1.4996580</a>."},"article_processing_charge":"No","_id":"912","quality_controlled":"1","issue":"8","author":[{"last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas"}],"volume":58,"intvolume":"        58","date_published":"2017-08-01T00:00:00Z","scopus_import":"1","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"}],"date_created":"2018-12-11T11:49:10Z","external_id":{"isi":["000409197200015"]},"publication_status":"published"},{"quality_controlled":"1","issue":"5","_id":"739","author":[{"full_name":"Nam, Phan","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam"},{"first_name":"Marcin M","full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski"}],"volume":108,"page":"662 - 688","intvolume":"       108","date_published":"2017-11-01T00:00:00Z","scopus_import":"1","external_id":{"isi":["000414113600003"]},"date_created":"2018-12-11T11:48:15Z","publication_status":"published","abstract":[{"lang":"eng","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."}],"oa_version":"Submitted Version","publist_id":"6928","date_updated":"2023-09-27T12:52:07Z","status":"public","month":"11","isi":1,"type":"journal_article","article_processing_charge":"No","publisher":"Elsevier","citation":{"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>.","short":"P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688.","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.","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>","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.","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>."},"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"}],"department":[{"_id":"RoSe"}],"year":"2017","main_file_link":[{"url":"https://arxiv.org/abs/1604.05240","open_access":"1"}],"title":"A note on the validity of Bogoliubov correction to mean field dynamics","doi":"10.1016/j.matpur.2017.05.013","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"01","publication":"Journal de Mathématiques Pures et Appliquées","oa":1,"publication_identifier":{"issn":["00217824"]},"language":[{"iso":"eng"}]},{"pubrep_id":"880","publication":"Communications in Mathematical Physics","day":"01","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","doi":"10.1007/s00220-017-2980-0","publication_identifier":{"issn":["00103616"]},"language":[{"iso":"eng"}],"oa":1,"ec_funded":1,"year":"2017","department":[{"_id":"RoSe"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"title":"Stability of a fermionic N+1 particle system with point interactions","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"52"}]},"file":[{"content_type":"application/pdf","date_updated":"2020-07-14T12:47:57Z","file_size":952639,"file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf","relation":"main_file","file_id":"4841","access_level":"open_access","date_created":"2018-12-12T10:10:50Z","checksum":"0fd9435400f91e9b3c5346319a2d24e3","creator":"system"}],"isi":1,"ddc":["539"],"status":"public","month":"11","date_updated":"2023-09-27T12:34:15Z","publist_id":"6926","oa_version":"Published Version","citation":{"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.","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.","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>.","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>.","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>"},"has_accepted_license":"1","publisher":"Springer","article_processing_charge":"No","type":"journal_article","intvolume":"       356","date_published":"2017-11-01T00:00:00Z","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas","first_name":"Thomas","last_name":"Moser"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"page":"329 - 355","volume":356,"_id":"741","quality_controlled":"1","issue":"1","file_date_updated":"2020-07-14T12:47:57Z","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"}],"date_created":"2018-12-11T11:48:15Z","external_id":{"isi":["000409821300010"]},"publication_status":"published","scopus_import":"1"},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.09045"}],"title":"A note on 2D focusing many boson systems","year":"2017","department":[{"_id":"RoSe"}],"project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"ec_funded":1,"language":[{"iso":"eng"}],"oa":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","doi":"10.1090/proc/13468","publication":"Proceedings of the American Mathematical Society","day":"01","scopus_import":1,"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 &lt; β &lt; (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w &lt; 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 &lt; β &lt; 3/4. ","lang":"eng"}],"date_created":"2018-12-11T11:47:36Z","publication_status":"published","_id":"632","issue":"6","quality_controlled":"1","date_published":"2017-01-01T00:00:00Z","intvolume":"       145","page":"2441 - 2454","volume":145,"author":[{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan","last_name":"Nam"},{"last_name":"Rougerie","first_name":"Nicolas","full_name":"Rougerie, Nicolas"}],"type":"journal_article","citation":{"ieee":"M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” <i>Proceedings of the American Mathematical Society</i>, vol. 145, no. 6. American Mathematical Society, pp. 2441–2454, 2017.","apa":"Lewin, M., Nam, P., &#38; Rougerie, N. (2017). A note on 2D focusing many boson systems. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/13468\">https://doi.org/10.1090/proc/13468</a>","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2017. <a href=\"https://doi.org/10.1090/proc/13468\">https://doi.org/10.1090/proc/13468</a>.","short":"M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454.","mla":"Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” <i>Proceedings of the American Mathematical Society</i>, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:<a href=\"https://doi.org/10.1090/proc/13468\">10.1090/proc/13468</a>.","ista":"Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 145(6), 2441–2454.","ama":"Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. <i>Proceedings of the American Mathematical Society</i>. 2017;145(6):2441-2454. doi:<a href=\"https://doi.org/10.1090/proc/13468\">10.1090/proc/13468</a>"},"publisher":"American Mathematical Society","status":"public","month":"01","date_updated":"2021-01-12T08:07:03Z","oa_version":"Submitted Version","publist_id":"7160"},{"quality_controlled":"1","issue":"2","_id":"1079","intvolume":"        20","date_published":"2017-06-01T00:00:00Z","volume":20,"author":[{"first_name":"Phan","full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam"},{"full_name":"Van Den Bosch, Hanne","first_name":"Hanne","last_name":"Van Den Bosch"}],"scopus_import":"1","external_id":{"isi":["000401270000004"]},"date_created":"2018-12-11T11:50:02Z","publication_status":"published","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"}],"date_updated":"2023-09-20T11:53:35Z","oa_version":"Submitted Version","publist_id":"6300","isi":1,"month":"06","status":"public","type":"journal_article","article_processing_charge":"No","citation":{"ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2. Springer, 2017.","apa":"Nam, P., &#38; Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>.","short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (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>.","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>","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."},"publisher":"Springer","project":[{"call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"year":"2017","department":[{"_id":"RoSe"}],"main_file_link":[{"url":"https://arxiv.org/abs/1603.07368","open_access":"1"}],"title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","doi":"10.1007/s11040-017-9238-0","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication":"Mathematical Physics, Analysis and Geometry","day":"01","article_number":"6","oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["13850172"]}},{"quality_controlled":"1","issue":"23","_id":"997","date_published":"2017-12-06T00:00:00Z","intvolume":"       119","volume":119,"author":[{"first_name":"Enderalp","full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu"},{"first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko"}],"scopus_import":"1","date_created":"2018-12-11T11:49:36Z","external_id":{"isi":["000417132100007"],"arxiv":["1705.05162"]},"publication_status":"published","abstract":[{"lang":"eng","text":"Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrate that in the experimentally realized regime the angulon can be seen as a point charge on a 2-sphere interacting with a gauge field of a non-abelian magnetic monopole. Unlike in several other settings, the gauge fields of the angulon problem emerge in the real coordinate space, as opposed to the momentum space or some effective parameter space. Furthermore, we find a topological transition associated with making the monopole abelian, which takes place in the vicinity of the previously reported angulon instabilities. These results pave the way for studying topological phenomena in experiments on molecules trapped in superfluid helium nanodroplets, as well as on other realizations of orbital impurity problems."}],"date_updated":"2023-10-10T13:31:54Z","oa_version":"Preprint","publist_id":"6401","isi":1,"month":"12","status":"public","type":"journal_article","article_processing_charge":"No","citation":{"chicago":"Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” <i>Physical Review Letters</i>. American Physical Society, 2017. <a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">https://doi.org/10.1103/PhysRevLett.119.235301</a>.","apa":"Yakaboylu, E., Deuchert, A., &#38; Lemeshko, M. (2017). Emergence of non-abelian magnetic monopoles in a quantum impurity problem. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">https://doi.org/10.1103/PhysRevLett.119.235301</a>","ieee":"E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” <i>Physical Review Letters</i>, vol. 119, no. 23. American Physical Society, 2017.","ama":"Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. <i>Physical Review Letters</i>. 2017;119(23). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">10.1103/PhysRevLett.119.235301</a>","ista":"Yakaboylu E, Deuchert A, Lemeshko M. 2017. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 119(23), 235301.","short":"E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017).","mla":"Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” <i>Physical Review Letters</i>, vol. 119, no. 23, 235301, American Physical Society, 2017, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.119.235301\">10.1103/PhysRevLett.119.235301</a>."},"publisher":"American Physical Society","project":[{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734"},{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment"}],"year":"2017","arxiv":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"main_file_link":[{"url":"https://arxiv.org/abs/1705.05162","open_access":"1"}],"title":"Emergence of non-abelian magnetic monopoles in a quantum impurity problem","doi":"10.1103/PhysRevLett.119.235301","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Physical Review Letters","day":"06","article_number":"235301","article_type":"original","ec_funded":1,"oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0031-9007"]}},{"title":"Angular self-localization of impurities rotating in a bosonic bath","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1610.04908"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"},{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902"}],"year":"2017","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"oa":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["24699926"]},"article_number":"033608","ec_funded":1,"publication":"Physical Review A","day":"06","doi":"10.1103/PhysRevA.95.033608","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","date_created":"2018-12-11T11:50:15Z","external_id":{"isi":["000395981900009"]},"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"}],"scopus_import":"1","date_published":"2017-03-06T00:00:00Z","intvolume":"        95","volume":95,"author":[{"last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Xiang","first_name":"Xiang"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert"},{"full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko"}],"quality_controlled":"1","issue":"3","_id":"1120","article_processing_charge":"No","citation":{"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>","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.","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.","ama":"Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. <i>Physical Review A</i>. 2017;95(3). doi:<a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">10.1103/PhysRevA.95.033608</a>","mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” <i>Physical Review A</i>, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:<a href=\"https://doi.org/10.1103/PhysRevA.95.033608\">10.1103/PhysRevA.95.033608</a>.","short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017)."},"publisher":"American Physical Society","type":"journal_article","related_material":{"record":[{"status":"public","id":"8958","relation":"dissertation_contains"}]},"date_updated":"2023-09-20T11:30:58Z","oa_version":"Published Version","publist_id":"6242","isi":1,"status":"public","month":"03"}]