Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times

Abstract

Breakdown of quantum-classical correspondence is studied on an experimentally realizable example of one-dimensional periodically driven system. Two relevant time scales are identified in this system: the short Ehrenfest time t_h and the typically much longer localization time scale T_L. It is shown that surprisingly weak modification of the Hamiltonian may eliminate the more dramatic symptoms of localization without effecting the more subtle but ubiquitous and rapid loss of correspondence at t_h.

4 pages, 5 figures, replaced with a version submitted to PRL

References in corpus (1)

• Sub-Planck spots of Schroedinger cats and quantum decoherence

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