Chiral entanglement in massive quantum field theories in 1+1 dimensions

We determine both analytically and numerically the entanglement between chiral degrees of freedom in the ground state of massive perturbations of 1+1 dimensional conformal field theories quantised on a cylinder. Analytic predictions are obtained from a variational Ansatz for the ground state in term...

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Principais autores: Viti, Jacopo, Lencsés, M., Takács, G.
Formato: article
Idioma:English
Publicado em: Springer
Assuntos:
Conformal field theory
Field theories in lower dimensions
Integrable field theories
Endereço do item:https://repositorio.ufrn.br/handle/123456789/30465
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spelling ri-123456789-304652022-08-26T17:35:53Z Chiral entanglement in massive quantum field theories in 1+1 dimensions Viti, Jacopo Lencsés, M. Takács, G. Conformal field theory Field theories in lower dimensions Integrable field theories We determine both analytically and numerically the entanglement between chiral degrees of freedom in the ground state of massive perturbations of 1+1 dimensional conformal field theories quantised on a cylinder. Analytic predictions are obtained from a variational Ansatz for the ground state in terms of smeared conformal boundary states recently proposed by J. Cardy, which is validated by numerical results from the Truncated Conformal Space Approach. We also extend the scope of the Ansatz by resolving ground state degeneracies exploiting the operator product expansion. The chiral entanglement entropy is computed both analytically and numerically as a function of the volume. The excellent agreement between the analytic and numerical results provides further validation for Cardy’s Ansatz. The chiral entanglement entropy contains a universal O(1) term γ for which an exact analytic result is obtained, and which can distinguish energetically degenerate ground states of gapped systems in 1+1 dimensions 2020-10-20T23:50:04Z 2020-10-20T23:50:04Z 2019-01-23 article LENCSÉS, M.; VITI, J.; TAKÁCS, G.. Chiral entanglement in massive quantum field theories in 1+1 dimensions. Journal Of High Energy Physics, [S.L.], v. 2019, n. 1, p. 177-213, jan. 2019. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.081111. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1007/jhep01(2019)177 1742-5468 https://repositorio.ufrn.br/handle/123456789/30465 10.1007/jhep01(2019)177 en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf Springer
institution Repositório Institucional
collection RI - UFRN
language English
topic Conformal field theory
Field theories in lower dimensions
Integrable field theories
spellingShingle Conformal field theory
Field theories in lower dimensions
Integrable field theories
Viti, Jacopo
Lencsés, M.
Takács, G.
Chiral entanglement in massive quantum field theories in 1+1 dimensions
description We determine both analytically and numerically the entanglement between chiral degrees of freedom in the ground state of massive perturbations of 1+1 dimensional conformal field theories quantised on a cylinder. Analytic predictions are obtained from a variational Ansatz for the ground state in terms of smeared conformal boundary states recently proposed by J. Cardy, which is validated by numerical results from the Truncated Conformal Space Approach. We also extend the scope of the Ansatz by resolving ground state degeneracies exploiting the operator product expansion. The chiral entanglement entropy is computed both analytically and numerically as a function of the volume. The excellent agreement between the analytic and numerical results provides further validation for Cardy’s Ansatz. The chiral entanglement entropy contains a universal O(1) term γ for which an exact analytic result is obtained, and which can distinguish energetically degenerate ground states of gapped systems in 1+1 dimensions
format article
author Viti, Jacopo
Lencsés, M.
Takács, G.
author_facet Viti, Jacopo
Lencsés, M.
Takács, G.
author_sort Viti, Jacopo
title Chiral entanglement in massive quantum field theories in 1+1 dimensions
title_short Chiral entanglement in massive quantum field theories in 1+1 dimensions
title_full Chiral entanglement in massive quantum field theories in 1+1 dimensions
title_fullStr Chiral entanglement in massive quantum field theories in 1+1 dimensions
title_full_unstemmed Chiral entanglement in massive quantum field theories in 1+1 dimensions
title_sort chiral entanglement in massive quantum field theories in 1+1 dimensions
publisher Springer
publishDate 2020
url https://repositorio.ufrn.br/handle/123456789/30465
work_keys_str_mv AT vitijacopo chiralentanglementinmassivequantumfieldtheoriesin11dimensions
AT lencsesm chiralentanglementinmassivequantumfieldtheoriesin11dimensions
AT takacsg chiralentanglementinmassivequantumfieldtheoriesin11dimensions
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