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  Entanglement Spectrum of Chiral Fermions on the Torus

Fries, P., & Reyes, I. (2019). Entanglement Spectrum of Chiral Fermions on the Torus. Physical Review Letters, 123(21): 211603. doi:10.1103/PhysRevLett.123.211603.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-B437-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-A62C-F
Genre: Journal Article

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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 determine the reduced density matrix of chiral fermions on the torus, for an arbitrary set of disjoint intervals and generic torus modulus. We find the resolvent, which yields the modular Hamiltonian in each spin sector. Together with a local term, it involves an infinite series of bi-local couplings, even for a single interval. These accumulate near the endpoints, where they become increasingly redshifted. Remarkably, in the presence of a zero mode, this set of points 'condenses' within the interval at low temperatures, yielding continuous non-locality.

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 Dates: 2019-05-142019
 Publication Status: Published in print
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 Identifiers: arXiv: 1905.05768
URI: http://arxiv.org/abs/1905.05768
DOI: 10.1103/PhysRevLett.123.211603
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 123 (21) Sequence Number: 211603 Start / End Page: - Identifier: -