Lieb-Robinson bounds and the existence of infinite system dynamics

TL;DR

This paper demonstrates the existence of infinite system dynamics in anharmonic quantum oscillator lattices by employing Lieb-Robinson bounds, advancing understanding of quantum many-body systems.

Contribution

It establishes the existence of thermodynamic limit dynamics for a class of anharmonic quantum lattices using Lieb-Robinson bounds, a novel application in this context.

Findings

Proves the existence of infinite system dynamics.

Uses Lieb-Robinson bounds to establish results.

Applies to anharmonic quantum oscillator lattices.

Abstract

We present a recent result on the existence of the dynamics in the thermodynamic limit of a class of anharmonic quantum oscillator lattices, which was obtained using Lieb--Robinson bounds.