Maximal speed of propagation in open quantum systems
Sébastien BreteauxUniversity of Lorraine, Metz, France
Jérémy FaupinUniversité de Lorraine, Metz, France
Marius LemmUniversity of Tübingen, Germany
Israel Michael SigalUniversity of Toronto, Canada
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We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The dynamics is described by one-parameter semigroups of quantum channels satisfying the von Neumann–Lindblad equation. Our result says that dynamically evolving states are contained inside a suitable light cone up to polynomial errors. We also give a bound on the slope of the light cone, i.e. the maximal propagation speed. The result implies an upper bound on the speed of propagation of local perturbations of stationary states in open quantum systems.