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Many-Body Systems and Quantum Chaos: The Multiparticle Quantum Arnol’d Cat

1
International Center for Non-linear and Complex Systems Università dell’Insubria, Via Valleggio 11, 22100 Como, Italy
2
Istituto Nazionale di Alta Matematica “F. Severi”, GNFM Gruppo Nazionale per la Fisica Matematica, P.le Aldo Moro 5, 00185 Roma, Italy
3
I.N.F.N. Gruppo collegato di Como, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
Condens. Matter 2019, 4(3), 72; https://doi.org/10.3390/condmat4030072
Received: 24 June 2019 / Revised: 14 July 2019 / Accepted: 16 July 2019 / Published: 22 July 2019
(This article belongs to the Special Issue Many Body Quantum Chaos)
A multi-particle extension of the Arnol’d cat Hamiltonian system is presented, which can serve as a fully dynamical model of decoherence. The behavior of the von Neumann entropy of the reduced density matrix is studied, in time and as a function of the physical parameters, with special regard to increasing the mass of the cat particle. View Full-Text
Keywords: quantum chaos; decoherence; Arnol’d cat; classical limit; correspondence principle quantum chaos; decoherence; Arnol’d cat; classical limit; correspondence principle
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Mantica, G. Many-Body Systems and Quantum Chaos: The Multiparticle Quantum Arnol’d Cat. Condens. Matter 2019, 4, 72.

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