On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems

Abstract

We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dynamics associated to quantum systems in [27], naturally extend to this setting. Given these bounds, we provide two applications. First, we use these results to obtain estimates on a strictly local approximation of these finite-volume, irreversible dynamics. Next, we show how these bounds can be used to estimate correlation decay in various states.

25 pages

References in corpus (6)

• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Propagation of Correlations in Quantum Lattice Systems
• Nearly-linear light cones in long-range interacting quantum systems
• Rapid mixing and stability of quantum dissipative systems
• Maximal Speed of Propagation in Open Quantum Systems
• Light cones for open quantum systems

Cited by in corpus (3)

• Enhanced Lieb-Robinson bounds for commuting long-range interactions
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Stability of thermal equilibrium in long-range quantum systems