--- _id: '5983' abstract: - lang: eng 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. article_number: '224506' article_processing_charge: No author: - first_name: Enderalp full_name: Yakaboylu, Enderalp id: 38CB71F6-F248-11E8-B48F-1D18A9856A87 last_name: Yakaboylu orcid: 0000-0001-5973-0874 - first_name: Bikashkali full_name: Midya, Bikashkali id: 456187FC-F248-11E8-B48F-1D18A9856A87 last_name: Midya - first_name: Andreas full_name: Deuchert, Andreas id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87 last_name: Deuchert orcid: 0000-0003-3146-6746 - first_name: Nikolai K full_name: Leopold, Nikolai K id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87 last_name: Leopold orcid: 0000-0002-0495-6822 - first_name: Mikhail full_name: Lemeshko, Mikhail id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 citation: 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' 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' 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.' 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.' 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.” 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). date_created: 2019-02-14T10:37:09Z date_published: 2018-12-12T00:00:00Z date_updated: 2023-09-19T14:29:03Z day: '12' department: - _id: MiLe - _id: RoSe doi: 10.1103/physrevb.98.224506 ec_funded: 1 external_id: arxiv: - '1809.01204' isi: - '000452992700008' intvolume: ' 98' isi: 1 issue: '22' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1809.01204 month: '12' oa: 1 oa_version: Preprint project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems publication: Physical Review B publication_identifier: eissn: - 2469-9969 issn: - 2469-9950 publication_status: published publisher: American Physical Society quality_controlled: '1' scopus_import: '1' status: public title: 'Theory of the rotating polaron: Spectrum and self-localization' type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 98 year: '2018' ... --- _id: '6002' abstract: - lang: eng text: The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove the existence of a phase transition in this model and provide its phase diagram. article_processing_charge: No author: - first_name: Marcin M full_name: Napiórkowski, Marcin M id: 4197AD04-F248-11E8-B48F-1D18A9856A87 last_name: Napiórkowski - first_name: Robin full_name: Reuvers, Robin last_name: Reuvers - first_name: Jan Philip full_name: Solovej, Jan Philip last_name: Solovej citation: 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' 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' 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.' 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.' 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.' 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.' short: M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090. date_created: 2019-02-14T13:40:53Z date_published: 2018-09-01T00:00:00Z date_updated: 2023-09-19T14:33:12Z day: '01' department: - _id: RoSe doi: 10.1007/s00205-018-1232-6 external_id: arxiv: - '1511.05935' isi: - '000435367300003' intvolume: ' 229' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1511.05935 month: '09' oa: 1 oa_version: Preprint page: 1037-1090 project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Archive for Rational Mechanics and Analysis publication_identifier: eissn: - 1432-0673 issn: - 0003-9527 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: 'The Bogoliubov free energy functional I: Existence of minimizers and phase diagram' type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 229 year: '2018' ... --- _id: '52' 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. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Thomas full_name: Moser, Thomas id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87 last_name: Moser citation: ama: Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043 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 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. ieee: T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018. ista: Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria. mla: Moser, Thomas. Point Interactions in Systems of Fermions. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043. short: T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018. date_created: 2018-12-11T11:44:22Z date_published: 2018-09-04T00:00:00Z date_updated: 2023-09-27T12:34:14Z day: '04' ddc: - '515' - '530' - '519' degree_awarded: PhD department: - _id: RoSe doi: 10.15479/AT:ISTA:th_1043 file: - access_level: open_access checksum: fbd8c747d148b468a21213b7cf175225 content_type: application/pdf creator: dernst date_created: 2019-04-09T07:45:38Z date_updated: 2020-07-14T12:46:37Z file_id: '6256' file_name: 2018_Thesis_Moser.pdf file_size: 851164 relation: main_file - access_level: closed checksum: c28e16ecfc1126d3ce324ec96493c01e content_type: application/zip creator: dernst date_created: 2019-04-09T07:45:38Z date_updated: 2020-07-14T12:46:37Z file_id: '6257' file_name: 2018_Thesis_Moser_Source.zip file_size: 1531516 relation: source_file file_date_updated: 2020-07-14T12:46:37Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '115' project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria publist_id: '8002' pubrep_id: '1043' related_material: record: - id: '5856' relation: part_of_dissertation status: public - id: '154' relation: part_of_dissertation status: public - id: '1198' relation: part_of_dissertation status: public - id: '741' relation: part_of_dissertation status: public status: public supervisor: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 title: Point interactions in systems of fermions type: dissertation user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2018' ... --- _id: '180' 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. acknowledgement: "This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged." article_processing_charge: No article_type: original author: - first_name: Mathieu full_name: Lewi, Mathieu last_name: Lewi - first_name: Élliott full_name: Lieb, Élliott last_name: Lieb - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 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 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 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. 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. ista: Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116. 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. date_created: 2018-12-11T11:45:03Z date_published: 2018-07-01T00:00:00Z date_updated: 2023-10-17T08:05:28Z day: '01' ddc: - '510' department: - _id: RoSe doi: 10.5802/jep.64 ec_funded: 1 external_id: arxiv: - '1705.10676' file: - access_level: open_access checksum: 1ba7cccdf3900f42c4f715ae75d6813c content_type: application/pdf creator: dernst date_created: 2018-12-17T16:38:18Z date_updated: 2020-07-14T12:45:16Z file_id: '5726' file_name: 2018_JournaldeLecoleMath_Lewi.pdf file_size: 843938 relation: main_file file_date_updated: 2020-07-14T12:45:16Z has_accepted_license: '1' intvolume: ' 5' language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '07' oa: 1 oa_version: Published Version page: 79 - 116 project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Journal de l'Ecole Polytechnique - Mathematiques publication_identifier: eissn: - 2270-518X issn: - 2429-7100 publication_status: published publisher: Ecole Polytechnique publist_id: '7741' quality_controlled: '1' scopus_import: '1' status: public title: Statistical mechanics of the uniform electron gas tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 5 year: '2018' ... --- _id: '484' 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. author: - first_name: Phan full_name: Nam, 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 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 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 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. 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. 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. 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. short: P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738. date_created: 2018-12-11T11:46:43Z date_published: 2017-01-01T00:00:00Z date_updated: 2021-01-12T08:00:58Z day: '01' department: - _id: RoSe doi: 10.4310/ATMP.2017.v21.n3.a4 ec_funded: 1 intvolume: ' 21' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1509.04631 month: '01' oa: 1 oa_version: Submitted Version page: 683 - 738 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Advances in Theoretical and Mathematical Physics publication_identifier: issn: - '10950761' publication_status: published publisher: International Press publist_id: '7336' quality_controlled: '1' scopus_import: 1 status: public title: Bogoliubov correction to the mean-field dynamics of interacting bosons type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 21 year: '2017' ... --- _id: '632' abstract: - lang: eng text: 'We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 < β < (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w < 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 < β < 3/4. ' author: - first_name: Mathieu full_name: Lewin, Mathieu last_name: Lewin - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Nicolas full_name: Rougerie, Nicolas last_name: Rougerie citation: ama: Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 2017;145(6):2441-2454. doi:10.1090/proc/13468 apa: Lewin, M., Nam, P., & Rougerie, N. (2017). A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/13468 chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society. American Mathematical Society, 2017. https://doi.org/10.1090/proc/13468. ieee: M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” Proceedings of the American Mathematical Society, vol. 145, no. 6. American Mathematical Society, pp. 2441–2454, 2017. ista: Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 145(6), 2441–2454. mla: Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:10.1090/proc/13468. short: M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454. date_created: 2018-12-11T11:47:36Z date_published: 2017-01-01T00:00:00Z date_updated: 2021-01-12T08:07:03Z day: '01' department: - _id: RoSe doi: 10.1090/proc/13468 ec_funded: 1 intvolume: ' 145' issue: '6' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1509.09045 month: '01' oa: 1 oa_version: Submitted Version page: 2441 - 2454 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Proceedings of the American Mathematical Society publication_status: published publisher: American Mathematical Society publist_id: '7160' quality_controlled: '1' scopus_import: 1 status: public title: A note on 2D focusing many boson systems type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 145 year: '2017' ... --- _id: '1198' abstract: - lang: eng text: We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles. acknowledgement: 'Open access funding provided by Institute of Science and Technology (IST Austria). ' article_processing_charge: Yes (via OA deal) author: - first_name: Thomas full_name: Moser, Thomas id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87 last_name: Moser - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552. doi:10.1007/s11005-016-0915-x apa: Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0915-x chicago: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x. ieee: T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3. Springer, pp. 533–552, 2017. ista: Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552. mla: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x. short: T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552. date_created: 2018-12-11T11:50:40Z date_published: 2017-03-01T00:00:00Z date_updated: 2023-09-20T11:18:13Z day: '01' ddc: - '510' - '539' department: - _id: RoSe doi: 10.1007/s11005-016-0915-x external_id: isi: - '000394280200007' file: - access_level: open_access checksum: c0c835def162c1bc52f978fad26e3c2f content_type: application/pdf creator: system date_created: 2018-12-12T10:17:40Z date_updated: 2020-07-14T12:44:38Z file_id: '5296' file_name: IST-2016-723-v1+1_s11005-016-0915-x.pdf file_size: 587207 relation: main_file file_date_updated: 2020-07-14T12:44:38Z has_accepted_license: '1' intvolume: ' 107' isi: 1 issue: '3' language: - iso: eng month: '03' oa: 1 oa_version: Published Version page: ' 533 - 552' project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Letters in Mathematical Physics publication_identifier: issn: - '03779017' publication_status: published publisher: Springer publist_id: '6152' pubrep_id: '723' quality_controlled: '1' related_material: record: - id: '52' relation: dissertation_contains status: public scopus_import: '1' status: public title: Triviality of a model of particles with point interactions in the thermodynamic limit tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 107 year: '2017' ... --- _id: '1120' abstract: - lang: eng text: 'The existence of a self-localization transition in the polaron problem has been under an active debate ever since Landau suggested it 83 years ago. Here we reveal the self-localization transition for the rotational analogue of the polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of the symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. The predicted effects can potentially be addressed in experiments on cold molecules trapped in superfluid helium droplets and ultracold quantum gases, as well as on electronic excitations in solids and Bose-Einstein condensates. ' article_number: '033608' article_processing_charge: No author: - first_name: Xiang full_name: Li, Xiang id: 4B7E523C-F248-11E8-B48F-1D18A9856A87 last_name: Li - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Mikhail full_name: Lemeshko, Mikhail id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 citation: ama: Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608 apa: Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. American Physical Society. https://doi.org/10.1103/PhysRevA.95.033608 chicago: Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608. ieee: X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American Physical Society, 2017. ista: Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608. mla: Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608. short: X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017). date_created: 2018-12-11T11:50:15Z date_published: 2017-03-06T00:00:00Z date_updated: 2023-09-20T11:30:58Z day: '06' department: - _id: MiLe - _id: RoSe doi: 10.1103/PhysRevA.95.033608 ec_funded: 1 external_id: isi: - '000395981900009' intvolume: ' 95' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1610.04908 month: '03' oa: 1 oa_version: Published Version project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems - _id: 26031614-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P29902 name: Quantum rotations in the presence of a many-body environment publication: Physical Review A publication_identifier: issn: - '24699926' publication_status: published publisher: American Physical Society publist_id: '6242' quality_controlled: '1' related_material: record: - id: '8958' relation: dissertation_contains status: public scopus_import: '1' status: public title: Angular self-localization of impurities rotating in a bosonic bath type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 95 year: '2017' ... --- _id: '1079' abstract: - lang: eng text: We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers. article_number: '6' article_processing_charge: No author: - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Hanne full_name: Van Den Bosch, Hanne last_name: Van Den Bosch citation: ama: Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 2017;20(2). doi:10.1007/s11040-017-9238-0 apa: Nam, P., & Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-017-9238-0 chicago: Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry. Springer, 2017. https://doi.org/10.1007/s11040-017-9238-0. ieee: P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2. Springer, 2017. 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. mla: Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2, 6, Springer, 2017, doi:10.1007/s11040-017-9238-0. short: P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017). date_created: 2018-12-11T11:50:02Z date_published: 2017-06-01T00:00:00Z date_updated: 2023-09-20T11:53:35Z day: '01' department: - _id: RoSe doi: 10.1007/s11040-017-9238-0 external_id: isi: - '000401270000004' intvolume: ' 20' isi: 1 issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1603.07368 month: '06' oa: 1 oa_version: Submitted Version project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Mathematical Physics, Analysis and Geometry publication_identifier: issn: - '13850172' publication_status: published publisher: Springer publist_id: '6300' quality_controlled: '1' scopus_import: '1' status: public title: Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 20 year: '2017' ... --- _id: '741' abstract: - lang: eng text: We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain. article_processing_charge: No author: - first_name: Thomas full_name: Moser, Thomas id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87 last_name: Moser - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 2017;356(1):329-355. doi:10.1007/s00220-017-2980-0 apa: Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-2980-0 chicago: Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0. ieee: T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1. Springer, pp. 329–355, 2017. ista: Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355. mla: Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0. short: T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355. date_created: 2018-12-11T11:48:15Z date_published: 2017-11-01T00:00:00Z date_updated: 2023-09-27T12:34:15Z day: '01' ddc: - '539' department: - _id: RoSe doi: 10.1007/s00220-017-2980-0 ec_funded: 1 external_id: isi: - '000409821300010' file: - access_level: open_access checksum: 0fd9435400f91e9b3c5346319a2d24e3 content_type: application/pdf creator: system date_created: 2018-12-12T10:10:50Z date_updated: 2020-07-14T12:47:57Z file_id: '4841' file_name: IST-2017-880-v1+1_s00220-017-2980-0.pdf file_size: 952639 relation: main_file file_date_updated: 2020-07-14T12:47:57Z has_accepted_license: '1' intvolume: ' 356' isi: 1 issue: '1' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 329 - 355 project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Communications in Mathematical Physics publication_identifier: issn: - '00103616' publication_status: published publisher: Springer publist_id: '6926' pubrep_id: '880' quality_controlled: '1' related_material: record: - id: '52' relation: dissertation_contains status: public scopus_import: '1' status: public title: Stability of a fermionic N+1 particle system with point interactions tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 356 year: '2017' ...