QUANTUM-CLASSICAL COMPARISON IN CHAOTIC SYSTEMS

Citation
A. Farini et al., QUANTUM-CLASSICAL COMPARISON IN CHAOTIC SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4447-4450
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
53
Issue
5
Year of publication
1996
Part
A
Pages
4447 - 4450
Database
ISI
SICI code
1063-651X(1996)53:5<4447:QCICS>2.0.ZU;2-#
Abstract
We introduce a characteristic time of a classical chaotic dynamics, re presented by the coherence time of the local maximum expansion directi on. For a quantum system whose classical limit follows the above chaot ic dynamics, the ratio between this time and the decorrelation time (o f the order of the reciprocal of the maximum Liapunov exponent) rules the ratio between nonclassical (Moyal) and classical (Liouville) terms in the evolution of the density matrix. We show that such a ratio doe s not provide a complete criterion for quantum-classical correspondenc e.