Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times
Abstract
Breakdown of quantum-classical correspondence is studied on an example of one-dimensional periodically driven system. Two relevant time scales are discussed: the short Ehrenfest time t_h and the typically much longer localization timescale T_L. It is shown that relatively 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.Keywords
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