The entanglement and relative entropy of a chiral fermion on the torus
arXiv:1906.02207 · doi:10.1103/PhysRevD.100.105015
Abstract
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.
arXiv comment8 pages, 2 figures; corrected error in section C, some improvements to the exposition
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