Entanglement entropy as a witness of the Aharonov-Bohm effect in QFT

Abstract

We study the dependence of the entanglement entropy with a magnetic flux, and show that the former quantity witnesses an Aharonov Bohm-like effect. In particular, we consider free charged scalar and Dirac fields living on a two dimensional cylinder and study how the entanglement entropy for a strip-like region on the surface of the cylinder is affected by a magnetic field enclosed by it.

8 pages, 4 figures

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Cited by in corpus (4)

• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Holographic torus entanglement and its RG flow
• QFT Entanglement Entropy, 2D Fermion and Gauge Fields
• Holographic entanglement renormalisation for fermionic quantum matter