On light cone bounds for Markov quantum open systems

Israel Michael Sigal; Xiaoxu Wu

doi:10.1007/s11005-026-02086-4

On light cone bounds for Markov quantum open systems

Israel Michael Sigal^*
, Xiaoxu Wu

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study space-time behaviour of solutions of the von Neumann–Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we prove the existence of an effective light cone with an exponentially small spill-over.

Original language	English
Article number	54
Number of pages	28
Journal	Letters in Mathematical Physics
Volume	116
Issue number	3
Early online date	May 2026
DOIs	https://doi.org/10.1007/s11005-026-02086-4
Publication status	Published - Jun 2026

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title = "On light cone bounds for Markov quantum open systems",

abstract = "We study space-time behaviour of solutions of the von Neumann–Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we prove the existence of an effective light cone with an exponentially small spill-over.",

keywords = "Completely positive maps, Jump operators, Lieb–Robinson bound, Lindblad equation, Lindbladian, Maximal velocity estimates, Open quantum systems, Quantum evolution, Quantum information, Quantum Markov process, Space-time estimates",

author = "Sigal, \{Israel Michael\} and Xiaoxu Wu",

note = "{\textcopyright}2026 The authors ",

year = "2026",

month = jun,

doi = "10.1007/s11005-026-02086-4",

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AU - Sigal, Israel Michael

AU - Wu, Xiaoxu

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AB - We study space-time behaviour of solutions of the von Neumann–Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we prove the existence of an effective light cone with an exponentially small spill-over.

KW - Completely positive maps

KW - Jump operators

KW - Lieb–Robinson bound

KW - Lindblad equation

KW - Lindbladian

KW - Maximal velocity estimates

KW - Open quantum systems

KW - Quantum evolution

KW - Quantum information

KW - Quantum Markov process

KW - Space-time estimates

UR - https://www.scopus.com/pages/publications/105038847712

U2 - 10.1007/s11005-026-02086-4

DO - 10.1007/s11005-026-02086-4

M3 - Article

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SN - 0377-9017

VL - 116

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

M1 - 54

ER -

On light cone bounds for Markov quantum open systems

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