Light cones for open quantum systems in the continuum
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Light cones for open quantum systems in the continuum. / Breteaux, Sébastien; Faupin, Jérémy; Lemm, Marius; Ou Yang, Dong Hao; Sigal, Israel Michael; Zhang, Jingxuan.
I: Reviews in Mathematical Physics, 2024.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Light cones for open quantum systems in the continuum
AU - Breteaux, Sébastien
AU - Faupin, Jérémy
AU - Lemm, Marius
AU - Ou Yang, Dong Hao
AU - Sigal, Israel Michael
AU - Zhang, Jingxuan
N1 - Publisher Copyright: © World Scientific Publishing Company.
PY - 2024
Y1 - 2024
N2 - We consider Markovian open quantum dynamics (MOQD) in the continuum. 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.
AB - We consider Markovian open quantum dynamics (MOQD) in the continuum. 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.
KW - Maximal propagation speed
KW - open quantum systems
KW - quantum information
KW - quantum light cones
UR - http://www.scopus.com/inward/record.url?scp=85190531425&partnerID=8YFLogxK
U2 - 10.1142/S0129055X24600043
DO - 10.1142/S0129055X24600043
M3 - Journal article
AN - SCOPUS:85190531425
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
SN - 0129-055X
M1 - 2460004
ER -
ID: 391035675