A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate
In the Bogoliubov–Fröhlich model, we prove that an impurity immersed in a Bose–Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction....
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.652/ |
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| author | Hinrichs, Benjamin Lampart, Jonas |
| author_facet | Hinrichs, Benjamin Lampart, Jonas |
| author_sort | Hinrichs, Benjamin |
| collection | DOAJ |
| description | In the Bogoliubov–Fröhlich model, we prove that an impurity immersed in a Bose–Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction. We do not assume any infrared or ultraviolet regularization of the model, which contains massless excitations and point-like interactions. |
| format | Article |
| id | doaj-art-c2c3708c285b4a05a6b2dcde42bbb8f6 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-c2c3708c285b4a05a6b2dcde42bbb8f62025-02-07T11:23:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G111399141110.5802/crmath.65210.5802/crmath.652A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein CondensateHinrichs, Benjamin0https://orcid.org/0000-0001-9074-1205Lampart, Jonas1https://orcid.org/0000-0002-6980-3800Universität Paderborn, Institut für Mathematik, Institut für Photonische Quantensysteme, Warburger Str. 100, 33098 Paderborn, GermanyCNRS & Laboratoire Interdisciplinaire Carnot de Bourgogne (UMR 6303), Université de Bourgogne Franche-Comté, 9 Av. A. Savary, 21078 Dijon Cedex, FranceIn the Bogoliubov–Fröhlich model, we prove that an impurity immersed in a Bose–Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction. We do not assume any infrared or ultraviolet regularization of the model, which contains massless excitations and point-like interactions.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.652/Polaronenergy-momentum spectrumCherenkov transitionrenormalization |
| spellingShingle | Hinrichs, Benjamin Lampart, Jonas A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate Comptes Rendus. Mathématique Polaron energy-momentum spectrum Cherenkov transition renormalization |
| title | A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate |
| title_full | A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate |
| title_fullStr | A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate |
| title_full_unstemmed | A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate |
| title_short | A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate |
| title_sort | lower bound on the critical momentum of an impurity in a bose einstein condensate |
| topic | Polaron energy-momentum spectrum Cherenkov transition renormalization |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.652/ |
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