Geodesic
The multiparticle quantum Arnol'd Cat: a~test case for the decoherence approach to quantum chaos
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 369-380

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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, quantum mechanics, dynamical entropies, decoherence.
Mots-clés : chaos 
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     title = {The multiparticle quantum {Arnol'd} {Cat:} a~test case for the decoherence approach to quantum chaos},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Giorgio Mantica. The multiparticle quantum Arnol'd Cat: a~test case for the decoherence approach to quantum chaos. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 369-380. http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a10/