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arXiv · 2406.19886

Second order energy expansion of Bose gases with three-body interactions

Morris Brooks
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Abstract

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 $\frac{1}{\sqrt{N}}$.

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Morris Brooks. 2024-06-28. Second order energy expansion of Bose gases with three-body interactions. https://arxiv.org/abs/2406.19886

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