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

Fries, Pascal; Reyes, Ignacio

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

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Reyes, Ignacio
Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1906.02207.pdf
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Citation

Fries, P., & Reyes, I. (in preparation). The entanglement and relative entropy of a chiral fermion on the torus.

Cite as: https://hdl.handle.net/21.11116/0000-0003-D834-F

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 mutual information is independent of the spin boundary
conditions, a property that does not hold for higher R\'enyi mutual
information. Together with the modular Hamiltonian, this provides a systematic
way of obtaining relative entropy on the torus.