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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

classification hep-thmath-phmath.MPquant-ph
keywords entropychiralentanglementrelativetorusarbitraryboundarycircle
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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 3 Pith papers

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  1. Relative entropy for $\lambda \phi^4$ in the Rindler wedge

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    A Wronskian-based method gives explicit torus conformal blocks for the Z2 orbifold of E8,1, yielding a two-periodic twist two-point function and the second Rényi entropy with universal logarithmic divergence plus UV-f...

  3. Relating the modular Hamiltonian to two-point functions

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    For free scalar fields in any Gaussian state, the modular Hamiltonian restricted to a region is determined by the equal-time two-point functions X and Π via M=Π^{1/2}B^{-1}arcoth(2B)Π^{1/2}, N=Π^{-1/2}B arcoth(2B)Π^{-...

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