Light cones for open quantum systems

التفاصيل البيبلوغرافية
العنوان: Light cones for open quantum systems
المؤلفون: Breteaux, Sébastien, Faupin, Jérémy, Lemm, Marius, Yang, Dong Hao Ou, Sigal, Israel Michael, Zhang, Jingxuan
سنة النشر: 2023
المجموعة: Mathematics
Mathematical Physics
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Mathematical Physics
الوصف: 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.
Comment: 43 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.08921
رقم الأكسشن: edsarx.2303.08921
قاعدة البيانات: arXiv