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arxiv: 1007.0855 · v1 · pith:BFBUMVUVnew · submitted 2010-07-06 · 🪐 quant-ph · cond-mat.stat-mech· math-ph· math.MP· nlin.CD

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

classification 🪐 quant-ph cond-mat.stat-mechmath-phmath.MPnlin.CD
keywords quantumapproacharnolchaosdecoherencealicki-fannescasecompute
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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.

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