English

Information-theoretic characterization of quantum chaos

chao-dyn 2016-08-31 v1 Chaotic Dynamics Quantum Physics

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

Cite

@article{arxiv.chao-dyn/9506008,
  title  = {Information-theoretic characterization of quantum chaos},
  author = {R. Schack and C. M. Caves},
  journal= {arXiv preprint arXiv:chao-dyn/9506008},
  year   = {2016}
}

Comments

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

R2 v1 2026-07-22T09:55:01.403Z