Entanglement entropy in lattice models with quantum metric

TL;DR

This paper establishes a clear and concise link between entanglement entropy and quantum metric in topological lattice models, enhancing understanding of quantum geometry's role in quantum entanglement.

Contribution

It provides a new, elegant proof of the relationship between entanglement entropy and quantum metric in gapped 2D lattice systems with tight-binding Hamiltonians.

Findings

Entanglement entropy is related to the quantum metric in topological lattice models.

The proof simplifies understanding of quantum geometry's influence on entanglement.

The connection is demonstrated specifically in gapped two-dimensional systems.

Abstract

We revisit the connection between entanglement entropy and quantum metric in topological lattice systems, and provide an elegant and concise proof of this connection. In gapped two-dimensional lattice models with well-defined tight-binding Hamiltonians, we show that the entanglement entropy is intimately related to the quantum metric of electronic states.