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Light cones for open quantum systems

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arxiv 2303.08921 v1 pith:GOO2K35S submitted 2023-03-15 quant-ph math-phmath.MP

Sébastien Breteaux , Jérémy Faupin , Marius Lemm , Dong Hao Ou Yang , Israel Michael Sigal , Jingxuan Zhang This is my paper · ORCID
classification quant-phmath-phmath.MP
keywords quantumlightconedynamicsfinite-energylocalizedopenapproximately
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We consider Markovian open quantum dynamics (MOQD). We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely, we prove that if the initial quantum state is localized in space, then any finite-energy part of the solution of the von Neumann-Lindblad equation is approximately localized inside an energy-dependent light cone. We also obtain an explicit upper bound for the slope of this light cone.

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