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Ehrenfest time in the weak dynamical localization

arXiv:cond-mat/0412259 · doi:10.1103/PhysRevB.72.045108

Abstract

The quantum kicked rotor (QKR) is known to exhibit dynamical localization in the space of its angular momentum. The present paper is devoted to the systematic first--principal (without a regularizer) diagrammatic calculations of the weak--localization corrections for QKR. Our particular emphasis is on the Ehrenfest time regime -- the phenomena characteristic for the classical--to--quantum crossover of classically chaotic systems.

27 pages, 9 figures