On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910509211582464 |
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| author | Boccato, Chiara Kerner, Joachim Pechmann, Maximilian |
| author_facet | Boccato, Chiara Kerner, Joachim Pechmann, Maximilian |
| contents | We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete) Bose-Einstein condensation in probability or with probability almost one into the minimizer of a Hartree-type functional. We accomplish this by building upon very recent results by Alain-Sol Sznitman on the spectral gap of the noninteracting Bose gas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14357 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model Boccato, Chiara Kerner, Joachim Pechmann, Maximilian Mathematical Physics Quantum Gases Quantum Physics 82B44, 60G55, 81V70, 82B10 We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete) Bose-Einstein condensation in probability or with probability almost one into the minimizer of a Hartree-type functional. We accomplish this by building upon very recent results by Alain-Sol Sznitman on the spectral gap of the noninteracting Bose gas. |
| title | On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model |
| topic | Mathematical Physics Quantum Gases Quantum Physics 82B44, 60G55, 81V70, 82B10 |
| url | https://arxiv.org/abs/2312.14357 |