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arXiv · 0708.2779

A Survey on the Classical Limit of Quantum Dynamical Entropies

Valerio Cappellini
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Abstract

We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail and a semi-classical analysis is performed on it using coherent states, fulfilling an appropriate dynamical localization property. Correspondence between quantum dynamical entropies and the Kolmogorov-Sinai invariant is found only over time scales that are logarithmic in the quantization parameter.

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Valerio Cappellini. 2007-12-13. A Survey on the Classical Limit of Quantum Dynamical Entropies. https://arxiv.org/abs/0708.2779

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