[{"language":[{"iso":"eng"}],"doi":"10.1103/physrevb.98.224506","isi":1,"quality_controlled":"1","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"external_id":{"isi":["000452992700008"],"arxiv":["1809.01204"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01204"}],"month":"12","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"date_updated":"2023-09-19T14:29:03Z","date_created":"2019-02-14T10:37:09Z","volume":98,"author":[{"full_name":"Yakaboylu, Enderalp","first_name":"Enderalp","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874"},{"full_name":"Midya, Bikashkali","last_name":"Midya","first_name":"Bikashkali","id":"456187FC-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert","first_name":"Andreas","full_name":"Deuchert, Andreas"},{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K","full_name":"Leopold, Nikolai K"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail"}],"publication_status":"published","publisher":"American Physical Society","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"year":"2018","ec_funded":1,"article_number":"224506","date_published":"2018-12-12T00:00:00Z","publication":"Physical Review B","citation":{"mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:10.1103/physrevb.98.224506.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","chicago":"Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/physrevb.98.224506.","ama":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 2018;98(22). doi:10.1103/physrevb.98.224506","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.","ieee":"E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” Physical Review B, vol. 98, no. 22. American Physical Society, 2018.","apa":"Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., & Lemeshko, M. (2018). Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.98.224506"},"day":"12","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","status":"public","title":"Theory of the rotating polaron: Spectrum and self-localization","intvolume":" 98","_id":"5983","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","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"}],"issue":"22","type":"journal_article"},{"title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","status":"public","intvolume":" 229","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"6002","oa_version":"Preprint","type":"journal_article","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"}],"issue":"3","page":"1037-1090","publication":"Archive for Rational Mechanics and Analysis","citation":{"short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090.","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.","ama":"Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6","ieee":"M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” Archive for Rational Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6","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."},"date_published":"2018-09-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","year":"2018","date_updated":"2023-09-19T14:33:12Z","date_created":"2019-02-14T13:40:53Z","volume":229,"author":[{"full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","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"}],"isi":1,"quality_controlled":"1","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05935"}],"external_id":{"isi":["000435367300003"],"arxiv":["1511.05935"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00205-018-1232-6","month":"09","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]}},{"doi":"10.15479/AT:ISTA:th_1043","language":[{"iso":"eng"}],"supervisor":[{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"degree_awarded":"PhD","oa":1,"project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"publication_identifier":{"issn":["2663-337X"]},"month":"09","related_material":{"record":[{"id":"5856","status":"public","relation":"part_of_dissertation"},{"id":"154","status":"public","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"1198"},{"id":"741","status":"public","relation":"part_of_dissertation"}]},"author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"}],"date_created":"2018-12-11T11:44:22Z","date_updated":"2023-09-27T12:34:14Z","year":"2018","publisher":"Institute of Science and Technology Austria","department":[{"_id":"RoSe"}],"publication_status":"published","publist_id":"8002","file_date_updated":"2020-07-14T12:46:37Z","date_published":"2018-09-04T00:00:00Z","citation":{"ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018.","apa":"Moser, T. (2018). Point interactions in systems of fermions. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_1043","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria.","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043","chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.","short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","mla":"Moser, Thomas. Point Interactions in Systems of Fermions. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043."},"page":"115","has_accepted_license":"1","article_processing_charge":"No","day":"04","pubrep_id":"1043","file":[{"date_created":"2019-04-09T07:45:38Z","date_updated":"2020-07-14T12:46:37Z","checksum":"fbd8c747d148b468a21213b7cf175225","relation":"main_file","file_id":"6256","file_size":851164,"content_type":"application/pdf","creator":"dernst","file_name":"2018_Thesis_Moser.pdf","access_level":"open_access"},{"relation":"source_file","file_id":"6257","date_created":"2019-04-09T07:45:38Z","date_updated":"2020-07-14T12:46:37Z","checksum":"c28e16ecfc1126d3ce324ec96493c01e","file_name":"2018_Thesis_Moser_Source.zip","access_level":"closed","content_type":"application/zip","file_size":1531516,"creator":"dernst"}],"oa_version":"Published Version","_id":"52","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","title":"Point interactions in systems of fermions","ddc":["515","530","519"],"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."}],"type":"dissertation","alternative_title":["ISTA Thesis"]},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"180","status":"public","title":"Statistical mechanics of the uniform electron gas","ddc":["510"],"intvolume":" 5","oa_version":"Published Version","file":[{"file_name":"2018_JournaldeLecoleMath_Lewi.pdf","access_level":"open_access","file_size":843938,"content_type":"application/pdf","creator":"dernst","relation":"main_file","file_id":"5726","date_created":"2018-12-17T16:38:18Z","date_updated":"2020-07-14T12:45:16Z","checksum":"1ba7cccdf3900f42c4f715ae75d6813c"}],"type":"journal_article","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."}],"publication":"Journal de l'Ecole Polytechnique - Mathematiques","citation":{"ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","apa":"Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.64","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5. Ecole Polytechnique, pp. 79–116, 2018.","mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.","short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64."},"article_type":"original","page":"79 - 116","date_published":"2018-07-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No","has_accepted_license":"1","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged.","year":"2018","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Ecole Polytechnique","author":[{"first_name":"Mathieu","last_name":"Lewi","full_name":"Lewi, Mathieu"},{"full_name":"Lieb, Élliott","first_name":"Élliott","last_name":"Lieb"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"date_created":"2018-12-11T11:45:03Z","date_updated":"2023-10-17T08:05:28Z","volume":5,"file_date_updated":"2020-07-14T12:45:16Z","ec_funded":1,"publist_id":"7741","license":"https://creativecommons.org/licenses/by-nd/4.0/","tmp":{"short":"CC BY-ND (4.0)","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"},"oa":1,"external_id":{"arxiv":["1705.10676"]},"quality_controlled":"1","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"doi":"10.5802/jep.64","language":[{"iso":"eng"}],"month":"07","publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]}},{"scopus_import":1,"day":"01","publication":"Advances in Theoretical and Mathematical Physics","citation":{"ama":"Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 2017;21(3):683-738. doi:10.4310/ATMP.2017.v21.n3.a4","ieee":"P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3. International Press, pp. 683–738, 2017.","apa":"Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.2017.v21.n3.a4","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.","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738.","mla":"Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4."},"page":"683 - 738","date_published":"2017-01-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory."}],"issue":"3","_id":"484","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","status":"public","intvolume":" 21","oa_version":"Submitted Version","month":"01","publication_identifier":{"issn":["10950761"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.04631"}],"quality_controlled":"1","project":[{"name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"doi":"10.4310/ATMP.2017.v21.n3.a4","language":[{"iso":"eng"}],"publist_id":"7336","ec_funded":1,"year":"2017","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"International Press","author":[{"full_name":"Nam, Phan","last_name":"Nam","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski"}],"date_created":"2018-12-11T11:46:43Z","date_updated":"2021-01-12T08:00:58Z","volume":21}]