Relaxation process in a regime of quantum chaos
Condensed Matter
2009-10-30 v2 chao-dyn
Chaotic Dynamics
Abstract
We show that the quantum relaxation process in a classically chaotic open dynamical system is characterized by a quantum relaxation time scale t_q. This scale is much shorter than the Heisenberg time and much larger than the Ehrenfest time: t_q ~ g^alpha where g is the conductance of the system and the exponent alpha is close to 1/2. As a result, quantum and classical decay probabilities remain close up to values P ~ exp(-sqrt(g)) similarly to the case of open disordered systems.
Keywords
Cite
@article{arxiv.cond-mat/9706103,
title = {Relaxation process in a regime of quantum chaos},
author = {Giulio Casati and Giulio Maspero and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9706103},
year = {2009}
}
Comments
revtex, 5 pages, 4 figures discussion of the relations between time scale t_q and weak localization correction and between dynamical and disordered systems is added