Volume 61, Number 6, March 2003
|Page(s)||729 - 735|
|Published online||01 March 2003|
Anomalous power law of quantum reversibility for classically regular dynamics
Instituut-Lorentz, Universiteit Leiden - P.O. Box 9506 2300 RA Leiden, The Netherlands
Accepted: 16 January 2003
The Loschmidt Echo (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.
PACS: 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
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