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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2501.15803 |
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| _version_ | 1866915123490193408 |
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| author | Behrmann, Nils Brennecke, Christian Rademacher, Simone |
| author_facet | Behrmann, Nils Brennecke, Christian Rademacher, Simone |
| contents | We consider trapped Bose gases in three dimensions in the Gross-Pitaevskii regime whose low energy states are well known to exhibit Bose-Einstein condensation. That is, the majority of the particles occupies the same condensate state. We prove exponential control of the number of particles orthogonal to the condensate state, generalizing recent results for translation invariant systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime Behrmann, Nils Brennecke, Christian Rademacher, Simone Mathematical Physics We consider trapped Bose gases in three dimensions in the Gross-Pitaevskii regime whose low energy states are well known to exhibit Bose-Einstein condensation. That is, the majority of the particles occupies the same condensate state. We prove exponential control of the number of particles orthogonal to the condensate state, generalizing recent results for translation invariant systems. |
| title | Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2501.15803 |