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
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.