Large deviation estimates for weakly interacting bosons
arXiv:2112.01999 · doi:10.1007/s10955-022-02940-4
Abstract
We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order.
arXiv comment16 pages, final version to appear in Journal of Statistical Physics
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