Information-theoretic characterization of quantum chaos

Details Information-theoretic characterization of quantum chaos Information-theoretic characterization of quantum chaos

1995-06-28

arxiv.org/abs/chao-dyn/9506008v1

Nonlinear Sciences

Chaotic Dynamics

23 pages in REVTEX, 7 uuencoded postscript figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.53.3257

Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from increasing. We demonstrate numerically that hypersensitivity to perturbation is present in the following quantum maps: the quantum kicked top, the quantum baker's map, the quantum lazy baker's map, and the quantum sawtooth and cat maps.

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