We study the level spacing statistics $P(s)$ in many-body Fermi systems and determine a critical two-body interaction strength Uc at which a crossover from Poisson to Wigner-Dyson statistics takes place. Near the Fermi level, the results allow one to find a critical temperature Tch above which quantum chaos and thermalization set in.
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Jacquod et al. (1997) studied this question.
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