Anomalous power law of quantum reversibility for classically regular dynamics
Quantum Physics
2007-05-23 v2 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Abstract
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^{-alpha} with alpha=3d/2 depending solely on the dimension d of the system. This power law decay is faster than the result ~ t^{-d} for the decay of classical phase space densities.
Cite
@article{arxiv.quant-ph/0206160,
title = {Anomalous power law of quantum reversibility for classically regular dynamics},
author = {Ph. Jacquod and I. Adagideli and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:quant-ph/0206160},
year = {2007}
}