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

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.