Information-theoretic characterization of quantum chaos

Abstract

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.

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

References in corpus (5)

• Hypersensitivity to perturbation in the quantum kicked top
• Hypersensitivity to Perturbations in the Quantum Baker's Map
• Generalized coherent states
• Chaos for Liouville probability densities
• The Classical and Quantum Mechanics of Lazy Baker Maps

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