This article is cited in 1 paper

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

Giorgio Mantica<sup>abc

a</sup> CNISM unitá di Como, Italy
^b I.N.F.N. sezione di Milano, Italy
^c International Center for Non-Linear and Complex Systems, Universitá dell'Insubria, Como, Italy

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: symbolic dynamics, chaos, quantum mechanics, dynamical entropies, decoherence.

UDC: 530.132

Received: 10.05.2010
Received in revised form: 10.06.2010
Accepted: 20.06.2010

Language: English