A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915133557571584 |
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| author | Hinrichs, Benjamin Lampart, Jonas |
| author_facet | Hinrichs, Benjamin Lampart, Jonas |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05361 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate Hinrichs, Benjamin Lampart, Jonas Mathematical Physics Spectral Theory Quantum Physics Primary 81V73, Secondary 81Q10, 47A10 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. |
| title | A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate |
| topic | Mathematical Physics Spectral Theory Quantum Physics Primary 81V73, Secondary 81Q10, 47A10 |
| url | https://arxiv.org/abs/2311.05361 |