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Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times

Zbyszek P. Karkuszewski·Jakub Zakrzewski·Wojciech H. Zurek
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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.

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Zbyszek P. Karkuszewski, Jakub Zakrzewski, Wojciech H. Zurek. 2001-06-08. Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times. https://doi.org/10.1103/physreva.65.042113

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