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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 3, Pages 369–380 (Mi jsfu136)  
This article is cited in 1 scientific paper (total in 1 paper)

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

Giorgio Manticaabc

a 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
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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.
Received: 10.05.2010
Received in revised form: 10.06.2010
Accepted: 20.06.2010
Document Type: Article
UDC: 530.132
Language: English
Citation: Giorgio Mantica, “The multiparticle quantum Arnol'd Cat: a test case for the decoherence approach to quantum chaos”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 369–380
Citation in format AMSBIB
\Bibitem{Man10}
\by Giorgio~Mantica
\paper The multiparticle quantum Arnol'd Cat: a~test case for the decoherence approach to quantum chaos
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 3
\pages 369--380
\mathnet{http://mi.mathnet.ru/jsfu136}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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