Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times

Details Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times

2000-12-22

arxiv.org/abs/nlin/0012048v3

Phys. Rev. A 65, 042113 (2002)

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1103/PhysRevA.65.042113

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.

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