Environment-independent decoherence rate in classically chaotic systems
Abstract
We study the decoherence of a one-particle system, whose classical correpondent is chaotic, when it evolves coupled to a weak quenched environment. This is done by analytical evaluation of the Loschmidt Echo, (i.e. the revival of a localized density excitation upon reversal of its time evolution), in presence of the perturbation. We predict an exponential decay for the Loschmidt Echo with a (decoherence) rate which is asymptotically given by the mean Lyapunov exponent of the classical system, and therefore independent of the perturbation strength, within a given range of strengths. Our results are consistent with recent experiments of Polarization Echoes in nuclear magnetic resonance and preliminary numerical simulations.
Keywords
Cite
@article{arxiv.cond-mat/0010094,
title = {Environment-independent decoherence rate in classically chaotic systems},
author = {Rodolfo A. Jalabert and Horacio M. Pastawski},
journal= {arXiv preprint arXiv:cond-mat/0010094},
year = {2009}
}
Comments
No figures. Typos corrected and minor modifications to the text and references. Published version