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Diffusion and localization in chaotic billiards

Fausto Borgonovi, Giulio Casati, Baowen Li

cond-matarXiv:cond-mat/9610158

Abstract

We study analytically and numerically the classical diffusive process which takes place in a chaotic billiard. This allows to estimate the conditions under which the statistical properties of eigenvalues and eigenfunctions can be described by Random Matrix Theory. In particular the phenomenon of quantum dynamical localization should be observable in real experiments.

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