ISSN:
1434-6079
Keywords:
PACS. 03.65.Sq Semiclassical theories and applications - 05.45.Mt Semiclassical chaos (“quantum chaos")
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: I investigate the propagator of the Wigner function for a dissipative chaotic quantum map. I show that a small amount of dissipation reduces the propagator of sufficiently smooth Wigner functions to its classical counterpart, the Frobenius-Perron operator, if . Several consequences arise: the Wigner transform of the invariant density matrix is a smeared out version of the classical strange attractor; time dependent expectation values and correlation functions of observables can be evaluated via hybrid quantum-classical formulae in which the quantum character enters only via the initial Wigner function. If a classical phase-space distribution is chosen for the latter or if the map is iterated sufficiently many times the formulae become entirely classical, and powerful classical trace formulae apply.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100530070099
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