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

TL;DR

This paper extends quasi-locality and correlation decay results to long-range open quantum spin systems, providing bounds for local approximations and correlation estimates in these models.

Contribution

It generalizes existing quasi-locality results to open quantum systems with long-range interactions, enabling new bounds on dynamics and correlations.

Findings

Quasi-locality bounds extend to long-range open quantum systems.

Provides estimates for local approximations of irreversible dynamics.

Shows how to bound correlation decay in various states.

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.