Entanglement in a Maxwell Theory coupled to a non-relativistic particle

TL;DR

This paper investigates the entanglement entropy between a nonrelativistic charged particle and the electromagnetic field in a cylindrical geometry, revealing how degeneracy affects quantum correlations.

Contribution

It introduces a novel analysis of entanglement in a coupled Maxwell-particle system on a cylindrical manifold, connecting it to the Landau model on a torus.

Findings

Entanglement entropy varies within the degenerate ground state subspace.

The study links electromagnetic entanglement to Landau levels on a torus.

Provides explicit calculations of entanglement in a gauge theory with matter.

Abstract

We consider electromagnetism in a cylindrical manifold coupled to a nonrelativistic charged point-particle. Through the relation between this theory and the Landau model on a torus, we study the entanglement between the particle and the electromagnetic field. In particular, we compute the entanglement entropy in the ground state, which is degenerate, obtaining how it varies in the degeneracy subspace.