Information-theoretic characterization of quantum chaos
- 1 April 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (4) , 3257-3270
- https://doi.org/10.1103/physreve.53.3257
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.Keywords
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