Classical Limit of Quantum Dynamical Entropies

Details Classical Limit of Quantum Dynamical Entropies Classical Limit of Quantum Dynamical Entropies

2003-08-12

arxiv.org/abs/quant-ph/0308069v2

Rev. Math. Phys., Vol. 15 Num. 8 (October 2003) 847-875

Physics

Quantum Physics

LaTeX, 41 pages; v2: small changes and corrected typos

Scientific paper

10.1142/S0129055X03001837

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.

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