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2014

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

Arias, Raúl E., Blanco, David D., Casini, Horacio

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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.

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

Built on

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H. Casini, M. Huerta, “A Finite entanglement entropy and the c-theorem,” Phys. Lett. B600
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Then

R. C. Myers and A. Sinha, “Seeing a c-theorem with holography,” Phys. Rev. D 82
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2011
Later among the works it cites.
M. P. Hertzberg and F. Wilczek, “Some Calculable Contributions to Entanglement Entropy,” Phys. Rev. Lett. 106
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2011
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M. Montull, O. Pujolas, A. Salvio and P. J. Silva, “Flux Periodicities and Quantum Hair on Holographic Superconductors,” Phys. Rev. Lett. 107
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V. Balasubramanian, M. B. McDermott and M. Van Raamsdonk, “Momentum-space entanglement and renormalization in quantum field theory,” Phys. Rev. D 86
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H. Casini and M. Huerta, “On the RG running of the entanglement entropy of a circle,” Phys. Rev. D 85

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