Light cones for open quantum systems

• URL: http://arxiv.org/abs/2303.08921v1
• Date: Wed, 15 Mar 2023 20:38:04 GMT
• Title: Light cones for open quantum systems
• Authors: S\'ebastien Breteaux, J\'er\'emy Faupin, Marius Lemm, Dong Hao Ou Yang, Israel Michael Sigal, and Jingxuan Zhang
• Abstract summary: 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.
• Score: 5.449283796175883
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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