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

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arxiv 1911.11264 v2 pith:BTR6BABD submitted 2019-11-25 hep-th quant-ph

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

classification hep-th quant-ph
keywords entanglementcoupledparticletheorychargedcomputeconsidercylindrical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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    Coupling a colored particle to 2D Yang-Mills on a cylinder reduces the dynamics, for SU(N), to the singular Calogero-Sutherland model.