Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866914950851592192 |
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| author | Nguyen, Dinh-Thi Rougerie, Nicolas |
| author_facet | Nguyen, Dinh-Thi Rougerie, Nicolas |
| contents | We study the minimizers of a magnetic 2D non-linear Schrödinger energy functional in a quadratic trapping potential, describing a rotating Bose-Einstein condensate. We derive an effective Thomas-Fermi-like model in the rapidly rotating limit where the centrifugal force compensates the confinement, and available states are restricted to the lowest Landau level. The coupling constant of the effective Thomas-Fermi functional is linked to the emergence of vortex lattices (the Abrikosov problem). We define it via a low density expansion of the energy of the corresponding homogeneous gas in the thermodynamic limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_04418 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Thomas-Fermi profile of a fast rotating Bose-Einstein condensate Nguyen, Dinh-Thi Rougerie, Nicolas Mathematical Physics Quantum Gases Analysis of PDEs 35Q40, 81V70, 81S05, 46N50 We study the minimizers of a magnetic 2D non-linear Schrödinger energy functional in a quadratic trapping potential, describing a rotating Bose-Einstein condensate. We derive an effective Thomas-Fermi-like model in the rapidly rotating limit where the centrifugal force compensates the confinement, and available states are restricted to the lowest Landau level. The coupling constant of the effective Thomas-Fermi functional is linked to the emergence of vortex lattices (the Abrikosov problem). We define it via a low density expansion of the energy of the corresponding homogeneous gas in the thermodynamic limit. |
| title | Thomas-Fermi profile of a fast rotating Bose-Einstein condensate |
| topic | Mathematical Physics Quantum Gases Analysis of PDEs 35Q40, 81V70, 81S05, 46N50 |
| url | https://arxiv.org/abs/2201.04418 |