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Emergence of quantum chaos in finite interacting Fermi systems

Ph. Jacquod, D. L. Shepelyansky

cond-matarXiv:cond-mat/9706040

Abstract

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 to find a critical temperature Tch above which quantum chaos and thermalization set in.

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