Classical Limit of Quantum Dynamical Entropies

(2) Instituut voor Theoretische Fysica; Belgium); D. Vanpeteghem (2) ((1) Dipartimento di Fisica Teorica; F. Benatti (1); Italy; K.U. Leuven; M. De Cock (2); M. Fannes (2); Universita' di Trieste; V. Cappellini (1)

arxiv: quant-ph/0308069 · v2 · submitted 2003-08-12 · 🪐 quant-ph · math-ph· math.MP

Classical Limit of Quantum Dynamical Entropies

F. Benatti (1) , V. Cappellini (1) , M. De Cock (2) , M. Fannes (2) , D. Vanpeteghem (2) ((1) Dipartimento di Fisica Teorica , Universita' di Trieste , Italy , (2) Instituut voor Theoretische Fysica

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K.U. Leuven Belgium)

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keywords classicallimitdynamicalentropiesautomorphismschaoticconnectiondetail

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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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Classical Limit of Quantum Dynamical Entropies

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