Anomalous power law of quantum reversibility for classically regular dynamics
Ph. Jacquod; İ. Adagideli; C. W. J. Beenakker; Ph. Jacquod; Instituut-Lorentz, Universiteit Leiden - P. O. Box 9506 2300 RA Leiden, The Netherlands; İ. Adagideli; Instituut-Lorentz, Universiteit Leiden - P. O. Box 9506 2300 RA Leiden, The Netherlands; C. W. J. Beenakker; Instituut-Lorentz, Universiteit Leiden - P. O. Box 9506 2300 RA Leiden, The Netherlands
Журнал:
EPL (Europhysics Letters)
Дата:
2003-03-01
Аннотация:
The Loschmidt Echo M(t) (defined as the squared overlap of wave packets evolving with two slightly different Hamiltonians) is a measure of quantum reversibility. We investigate its behavior for classically quasi-integrable systems. A dominant regime emerges where M(t) ∝ t<sup>−α</sup> with α = 3d/2 depending solely on the dimension d of the system. This power law decay is faster than the result ∝ t<sup>−d</sup> for the decay of the overlap of classical phase space densities.
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