Classical Limit of Quantum Dynamical Entropies
Quantum Physics
2007-05-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/0308069,
title = {Classical Limit of Quantum Dynamical Entropies},
author = {F. Benatti and V. Cappellini and M. De Cock and M. Fannes and D. Vanpeteghem},
journal= {arXiv preprint arXiv:quant-ph/0308069},
year = {2007}
}
Comments
LaTeX, 41 pages; v2: small changes and corrected typos