Modeling energy terms in a system of bosonic particles with three-body interactions, indicating Bose-Einstein condensation.
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 [25], where they predict the subleading term in the asymptotic expansion of the ground state energy to be of the order √N . In addition, we show that low-energy states satisfy Bose-Einstein condensation with a rate of the order N-3/4 .
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Morris Brooks (2025) studied this question.
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