Lattice QCD simulation of the Berry curvature

TL;DR

This paper introduces a lattice QCD-based formulation to numerically compute the Berry curvature, a key quantity for understanding topological order in interacting quantum systems.

Contribution

It provides a novel method to calculate Berry curvature within lattice QCD, extending analytical approaches to interacting systems.

Findings

Enables numerical computation of Berry curvature in lattice QCD.

Bridges the gap between topological quantum theory and lattice simulations.

Facilitates study of topological properties in strongly interacting systems.

Abstract

The Berry curvature is a fundamental concept describing topological order of quantum systems. While it can be analytically tractable in non-interacting systems, numerical simulations are necessary in interacting systems. We present a formulation to calculate the Berry curvature in lattice QCD.