Relaxation process in a regime of quantum chaos

Preprint

13 October 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9706103

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

RELAXATION PROCESS
QUANTUM RELAXATION
DYNAMICAL SYSTEM
HEISENBERG TIME
QUANTUM CHAOS
T_Q

All Related Versions

Version 1, 1997-06-11, ArXiv
Version 2, 1997-10-13, ArXiv
Published version: Physical Review E, 56 (6), R6233.

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