Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times

Zbyszek P. Karkuszewski, Jakub Zakrzewski, and Wojciech H. Zurek
Phys. Rev. A 65, 042113 – Published 10 April 2002
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Abstract

Breakdown of quantum-classical correspondence is studied on an experimentally realizable example of a one-dimensional periodically driven system. Two relevant time scales are identified in this system: the short Ehrenfest time tħln(ħ1) and the typically much longer localization time scale TLħ2. 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 tħ.

  • Received 27 March 2001

DOI:https://doi.org/10.1103/PhysRevA.65.042113

©2002 American Physical Society

Authors & Affiliations

Zbyszek P. Karkuszewski1,2, Jakub Zakrzewski2, and Wojciech H. Zurek1

  • 1Theoretical Division, T6, MS B288, LANL, Los Alamos, New Mexico 87545
  • 2Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland

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Vol. 65, Iss. 4 — April 2002

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