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The entanglement and relative entropy of a chiral fermion on the torus

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arxiv 1906.02207 v2 pith:EQZ3FUGO submitted 2019-06-05 hep-th math-phmath.MPquant-ph

The entanglement and relative entropy of a chiral fermion on the torus

classification hep-th math-phmath.MPquant-ph
keywords entropychiralentanglementrelativetorusarbitraryboundarycircle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive the entanglement entropy of chiral fermions on the circle at arbitrary temperature. The spin-sector contribution depends only on the total length of the entangling region, regardless of the configuration of the intervals. Thus three-partite information provides a global indicator for the spin boundary conditions. Together with the modular Hamiltonian, our results provide a systematic way of obtaining relative entropy on the torus.

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Cited by 2 Pith papers

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