Europhys. Lett., 61 (6) , pp. 729-735 (2003)
Anomalous power law of quantum reversibility for classically regular dynamicsPh. Jacquod, I. Adagideli and C. W. J. Beenakker
Instituut-Lorentz, Universiteit Leiden - P.O. Box 9506 2300 RA Leiden, The Netherlands
(Received 7 November 2002; accepted in final form 16 January 2003)
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 with depending solely on the dimension d of the system. This power law decay is faster than the result for the decay of the overlap of classical phase space densities.
05.45.Mt - Semiclassical chaos ("quantum chaos").
05.45.Pq - Numerical simulations of chaotic models.
03.65.Yz - Decoherence; open systems; quantum statistical methods.
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