Journal of Siberian Federal University. Mathematics & Physics / The Multiparticle Quantum Arnold Cat: a Test Case for the Decoherence Approach to Quantum Chaos

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (3)
Authors
Mantica, Giorgio
Contact information
Mantica, Giorgio : International Center for Non-Linear and Complex Systems, Universit`a dellInsubria , Via Valleggio 11, Como ITALY and CNISM unit`a di Como, and I.N.F.N. sezione di Milano, Italy , e-mail:
Keywords
symbolic dynamics; chaos; quantum mechanics; dynamical entropies; decoherence
Abstract

A multi-particle extension of the Arnold 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.

Pages
369-380
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1731