Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics

TL;DR

This paper establishes Lieb-Robinson bounds and confirms the thermodynamic limit for a broad class of irreversible quantum dynamics with time-dependent generators, under specific spatial decay conditions.

Contribution

It extends Lieb-Robinson bounds and thermodynamic limit results to irreversible quantum lattice systems with time-dependent generators.

Findings

Lieb-Robinson bounds are proven for the class of systems considered.

Existence of the thermodynamic limit is demonstrated for these irreversible dynamics.

Results apply to quantum lattice systems with spatial decay conditions.

Abstract

We prove Lieb-Robinson bounds and the existence of the thermodynamic limit for a general class of irreversible dynamics for quantum lattice systems with time-dependent generators that satisfy a suitable decay condition in space.