Classical Limit of Quantum Dynamical Entropies
arXiv:quant-ph/0308069 · doi:10.1142/S0129055X03001837
Abstract
Two non-commutative dynamical entropies are studied in connection with the classical limit. For systems with a strongly chaotic classical limit, the Kolmogorov-Sinai invariant is recovered on time scales that are logarithmic in the quantisation parameter. The model of the quantised hyperbolic automorphisms of the 2-torus is examined in detail.
LaTeX, 41 pages; v2: small changes and corrected typos