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

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

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-D834-F Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D933-F
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1906.02207.pdf (Preprint), 396KB
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 Creators:
Fries, Pascal, Author
Reyes, Ignacio1, Author              
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1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,Quantum Physics, quant-ph
 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.

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 Dates: 2019-06-05
 Publication Status: Not specified
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 Identifiers: arXiv: 1906.02207
URI: http://arxiv.org/abs/1906.02207
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