Europhys. Lett.
Volume 61, Number 6, March 2003
Page(s) 729 - 735
Section General
Published online 01 March 2003
DOI: 10.1209/epl/i2003-00289-y
Europhys. Lett., 61 (6) , pp. 729-735 (2003)

Anomalous power law of quantum reversibility for classically regular dynamics

Ph. 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 $M(t) \propto t^{-\alpha}$ with $\alpha=3d/2$ depending solely on the dimension d of the system. This power law decay is faster than the result $\propto t^{-d}$ 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.

© EDP Sciences 2003