Quantum Dynamical Entropies in Discrete Classical Chaos

Details Quantum Dynamical Entropies in Discrete Classical Chaos Quantum Dynamical Entropies in Discrete Classical Chaos

2003-08-27

arxiv.org/abs/math-ph/0308033v2

J. Phys. A: Math. Gen., Vol. 37 Num. 1 (9 January 2004) 105-130

Physics

Mathematical Physics

LaTeX, 37 pages, 12 figures; v2: Corrected typos

Scientific paper

10.1088/0305-4470/37/1/007

We discuss certain analogies between quantization and discretization of
classical systems on manifolds. In particular, we will apply the quantum
dynamical entropy of Alicki and Fannes to numerically study the footprints of
chaos in discretized versions of hyperbolic maps on the torus.

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