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A multi-particle extension of the Arnol'd Cat Hamiltonian system is definedand examined. We propose to compute its Alicki-Fannes quantum dynamicalentropy, to validate (or disprove) the validity of the decoherence approach toquantum chaos. A first set of numerical experiments is presented and discussed.

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