The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory

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 Renyi entropy from a four point function of twist operators in a free charged scalar field.

17 pages, 5 figures; v2, added references, the small AB phase limit and the UV cutoff dependence of Renyi entropy are revised

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• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Finite-size corrections in critical symmetry-resolved entanglement
• Equipartition of Entanglement in Quantum Hall States
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• Two-cylinder entanglement entropy under a twist
• Direct Calculation of Mutual Information of Distant Regions
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State