Mean dynamical entropy of quantum system tends to infinity in the semiclassical limit
Wojciech Slomczynski, Karol Zyczkowski
Abstract
We show that the mean dynamical entropy of a quantum map on the sphere is positive and tends logarithmically to infinity in the semiclassical limit. A link between chaotic dynamics of classical systems and the random matrix-like properties of spectra of the corresponding quantum analogues is demonstrated.
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