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Aharonov-Bohm effect on entanglement entropy in conformal field theory

2017/09/22 by Noburo Shiba · 1 citation
Physics and Astronomy · #Quantum many-body systems #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics

paper · doi:10.1103/physrevd.96.065016

Abstract

We consider the Aharonov-Bohm effect on entanglement entropy for one interval in (1+1) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e., there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the R'enyi entropy from a four point function of twist operators in a free charged scalar field.

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