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Random Matrices for Spin Decoherence

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Besides their experimental relevance in condensed matter and quantum information science, quantum spin systems are an interesting playground to study decoherence and quantum entanglement. Random matrices are used since the 50' to model quantum chaotic dynamics and complex quantum systems. I introduce new random matrix models which lead to explicit solutions for some simple open or closed quantum spin systems. They allow to probe the various dynamical regimes of decoherence and the emergence of the classical phase space for the spin, in particular in the non-Markovian regimes where no master equations are available.