Quantum dynamical entropies for discrete classical systems: a comparison

Details Quantum dynamical entropies for discrete classical systems: a comparison Quantum dynamical entropies for discrete classical systems: a comparison

2005-06-29

arxiv.org/abs/quant-ph/0506254v2

J. Phys. A: Math. Gen. 38(31), 6893-6915 (2005)

Physics

Quantum Physics

LaTeX, 36 pages. References updated

Scientific paper

10.1088/0305-4470/38/31/003

On a family of classical dynamical systems on the 2-torus, we perform a discretization procedure similar to the Anti-Wick quantization. Such a discretization is performed by using a particular class of states, fulfilling an appropriate dynamical localization property, typical of quantum Coherent States. The same set of states is involved in the construction of a quantum entropy, that we test on the discrete approximants; a correspondence with the classical metric entropy of Kolmogorov-Sinai is found only over time scales that are logarithmic in the discretization parameter.

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