A Survey on the Classical Limit of Quantum Dynamical Entropies

Acta Physica Polonica Series a (Impact Factor: 0.53). 09/2007; 112(4).
Source: arXiv
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.


Available from: Valerio Cappellini, Feb 19, 2013