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Classical Limit of Quantum Dynamical Entropies

F. Benatti·V. Cappellini·M. De Cock·M. Fannes·D. Vanpeteghem
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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.

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F. Benatti, V. Cappellini, M. De Cock, M. Fannes, D. Vanpeteghem. 2004-01-22. Classical Limit of Quantum Dynamical Entropies. https://doi.org/10.1142/s0129055x03001837

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