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  Entanglement and relative entropy of a chiral fermion on the torus

Fries, P., & Reyes, I. (2019). Entanglement and relative entropy of a chiral fermion on the torus. Physical Review D, 100(10): 105015. doi:10.1103/PhysRevD.100.105015.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-D834-F Version Permalink: https://hdl.handle.net/21.11116/0000-0005-A62B-0
Genre: Journal Article

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 Creators:
Fries, Pascal, Author
Reyes, Ignacio1, Author           
Affiliations:
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: 2019-06-052019
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: arXiv: 1906.02207
URI: http://arxiv.org/abs/1906.02207
DOI: 10.1103/PhysRevD.100.105015
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 100 (10) Sequence Number: 105015 Start / End Page: - Identifier: -