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The Multiparticle Quantum Arnol'd Cat: a test case for the decoherence approach to quantum chaos

Quantum Physics 2011-06-23 v1 Statistical Mechanics Mathematical Physics math.MP Chaotic Dynamics

Abstract

A multi-particle extension of the Arnol'd Cat Hamiltonian system is defined and examined. We propose to compute its Alicki-Fannes quantum dynamical entropy, to validate (or disprove) the validity of the decoherence approach to quantum chaos. A first set of numerical experiments is presented and discussed.

Keywords

Cite

@article{arxiv.1007.0855,
  title  = {The Multiparticle Quantum Arnol'd Cat: a test case for the decoherence approach to quantum chaos},
  author = {Giorgio Mantica},
  journal= {arXiv preprint arXiv:1007.0855},
  year   = {2011}
}

Comments

To appear in the Journal of the Siberian Federal University

R2 v1 2026-06-21T15:44:52.691Z