Quantum-classical comparison in chaotic systems

Year: 1996

Authors: Farini A., Boccaletti S., Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Firenze, 50125 Firenze, Italy

Abstract: We introduce a characteristic time of a classical chaotic dynamics, represented by the coherence time of the local maximum expansion direction. For a quantum system whose classical limit follows the above chaotic dynamics, the ratio between this time and the decorrelation time (of 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 does not provide a complete criterion for quantum-classical correspondence.

Journal/Review: PHYSICAL REVIEW E

Volume: 53 (5)      Pages from: 4447  to: 4450

KeyWords: Decoherence; Model
DOI: 10.1103/PhysRevE.53.4447

Citations: 6
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