RELAXATION PROCESS IN A REGIME OF QUANTUM CHAOS

Citation
G. Casati et al., RELAXATION PROCESS IN A REGIME OF QUANTUM CHAOS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(6), 1997, pp. 6233-6236
Citations number
21
ISSN journal
1063651X
Volume
56
Issue
6
Year of publication
1997
Pages
6233 - 6236
Database
ISI
SICI code
1063-651X(1997)56:6<6233:RPIARO>2.0.ZU;2-V
Abstract
We show that the quantum relaxation process in a classically chaotic o pen dynamical system is characterized by a quantum relaxation time sca le t(q). This scale is much shorter than the Heisenberg time and much larger than the Ehrenfest time: t(q) proportional to 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 similar to exp(-root g) similarly to the case of open disordered systems.