Second order energy expansion of Bose gases with three-body interactions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929582892908544 |
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| author | Brooks, Morris |
| author_facet | Brooks, Morris |
| contents | We provide a second order energy expansion for a gas of $N$ bosonic particles with three-body interactions in the Gross-Pitaevskii regime. We especially confirm a conjecture by Nam, Ricaud and Triay in [22], where they predict the subleading term in the asymptotic expansion of the ground state energy to be of the order $\sqrt{N}$. In addition, we show that the ground state satisfies Bose-Einstein condensation with a rate of the order $\frac{1}{\sqrt{N}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19886 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second order energy expansion of Bose gases with three-body interactions Brooks, Morris Mathematical Physics We provide a second order energy expansion for a gas of $N$ bosonic particles with three-body interactions in the Gross-Pitaevskii regime. We especially confirm a conjecture by Nam, Ricaud and Triay in [22], where they predict the subleading term in the asymptotic expansion of the ground state energy to be of the order $\sqrt{N}$. In addition, we show that the ground state satisfies Bose-Einstein condensation with a rate of the order $\frac{1}{\sqrt{N}}$. |
| title | Second order energy expansion of Bose gases with three-body interactions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2406.19886 |