Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/30313 |
Resumo: | We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field theory from initial mass m0 to final mass m. The main analytical results are obtained from a perturbative expansion of the twist field one-point function in the post-quench quasi-particle basis. The expected linear growth of the R´enyi entropies at large times mt 1 emerges from a perturbative calculation at second order. We also show that the R´enyi and von Neumann entropies, in infinite volume, contain subleading oscillatory contributions of frequency 2m and amplitude proportional to (mt) −3/2 . The oscillatory terms are correctly predicted by an alternative perturbation series, in the pre-quench quasi-particle basis, which we also discuss. A comparison to lattice numerical calculations carried out on an Ising chain in the scaling limit shows very good agreement with the quantum field theory predictions. We also find evidence of clustering of twist field correlators which implies that the entanglement entropies are proportional to the number of subsystem boundary points |
id |
UFRN_378ee09aca1543dce3744913a88b144c |
---|---|
oai_identifier_str |
oai:https://repositorio.ufrn.br:123456789/30313 |
network_acronym_str |
UFRN |
network_name_str |
Repositório Institucional da UFRN |
repository_id_str |
|
spelling |
Castro-Alvaredo, Olalla A.Lencsés, MátéSzécsényi, István M.Viti, Jacopo2020-10-07T20:21:26Z2020-10-07T20:21:26Z2019-12-10CASTRO-ALVAREDO, Olalla A.; LENCSÉS, Máté; SZÉCSÉNYI, István M.; VITI, Jacopo. Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach. Journal Of High Energy Physics, [S.L.], v. 2019, n. 12, p. 79-114, dez. 2019. Disponível em: https://link.springer.com/article10.1007%2FJHEP12%282019%29079. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1007/jhep12(2019)0791029-8479https://repositorio.ufrn.br/handle/123456789/3031310.1007/jhep12(2019)079SpringerAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessField theories in lower dimensionsIntegrable field theoriesEntanglement dynamics after a quench in Ising field theory: a branch point twist field approachinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field theory from initial mass m0 to final mass m. The main analytical results are obtained from a perturbative expansion of the twist field one-point function in the post-quench quasi-particle basis. The expected linear growth of the R´enyi entropies at large times mt 1 emerges from a perturbative calculation at second order. We also show that the R´enyi and von Neumann entropies, in infinite volume, contain subleading oscillatory contributions of frequency 2m and amplitude proportional to (mt) −3/2 . The oscillatory terms are correctly predicted by an alternative perturbation series, in the pre-quench quasi-particle basis, which we also discuss. A comparison to lattice numerical calculations carried out on an Ising chain in the scaling limit shows very good agreement with the quantum field theory predictions. We also find evidence of clustering of twist field correlators which implies that the entanglement entropies are proportional to the number of subsystem boundary pointsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALEntanglementDynamics_VITI_2019.pdfEntanglementDynamics_VITI_2019.pdfapplication/pdf680703https://repositorio.ufrn.br/bitstream/123456789/30313/1/EntanglementDynamics_VITI_2019.pdf195e7aef8731c729a5e4b6a0fd0dcb79MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30313/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/30313/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52TEXTEntanglementDynamics_VITI_2019.pdf.txtEntanglementDynamics_VITI_2019.pdf.txtExtracted texttext/plain93747https://repositorio.ufrn.br/bitstream/123456789/30313/4/EntanglementDynamics_VITI_2019.pdf.txtcd3bed10e91d56ae8f040897122fd606MD54THUMBNAILEntanglementDynamics_VITI_2019.pdf.jpgEntanglementDynamics_VITI_2019.pdf.jpgGenerated Thumbnailimage/jpeg1441https://repositorio.ufrn.br/bitstream/123456789/30313/5/EntanglementDynamics_VITI_2019.pdf.jpg1131a07e83a3870b8270184eb9b0d486MD55123456789/303132020-10-11 04:38:15.406oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-11T07:38:15Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
title |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
spellingShingle |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach Castro-Alvaredo, Olalla A. Field theories in lower dimensions Integrable field theories |
title_short |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
title_full |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
title_fullStr |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
title_full_unstemmed |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
title_sort |
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach |
author |
Castro-Alvaredo, Olalla A. |
author_facet |
Castro-Alvaredo, Olalla A. Lencsés, Máté Szécsényi, István M. Viti, Jacopo |
author_role |
author |
author2 |
Lencsés, Máté Szécsényi, István M. Viti, Jacopo |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Castro-Alvaredo, Olalla A. Lencsés, Máté Szécsényi, István M. Viti, Jacopo |
dc.subject.por.fl_str_mv |
Field theories in lower dimensions Integrable field theories |
topic |
Field theories in lower dimensions Integrable field theories |
description |
We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field theory from initial mass m0 to final mass m. The main analytical results are obtained from a perturbative expansion of the twist field one-point function in the post-quench quasi-particle basis. The expected linear growth of the R´enyi entropies at large times mt 1 emerges from a perturbative calculation at second order. We also show that the R´enyi and von Neumann entropies, in infinite volume, contain subleading oscillatory contributions of frequency 2m and amplitude proportional to (mt) −3/2 . The oscillatory terms are correctly predicted by an alternative perturbation series, in the pre-quench quasi-particle basis, which we also discuss. A comparison to lattice numerical calculations carried out on an Ising chain in the scaling limit shows very good agreement with the quantum field theory predictions. We also find evidence of clustering of twist field correlators which implies that the entanglement entropies are proportional to the number of subsystem boundary points |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019-12-10 |
dc.date.accessioned.fl_str_mv |
2020-10-07T20:21:26Z |
dc.date.available.fl_str_mv |
2020-10-07T20:21:26Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
CASTRO-ALVAREDO, Olalla A.; LENCSÉS, Máté; SZÉCSÉNYI, István M.; VITI, Jacopo. Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach. Journal Of High Energy Physics, [S.L.], v. 2019, n. 12, p. 79-114, dez. 2019. Disponível em: https://link.springer.com/article10.1007%2FJHEP12%282019%29079. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1007/jhep12(2019)079 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/30313 |
dc.identifier.issn.none.fl_str_mv |
1029-8479 |
dc.identifier.doi.none.fl_str_mv |
10.1007/jhep12(2019)079 |
identifier_str_mv |
CASTRO-ALVAREDO, Olalla A.; LENCSÉS, Máté; SZÉCSÉNYI, István M.; VITI, Jacopo. Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach. Journal Of High Energy Physics, [S.L.], v. 2019, n. 12, p. 79-114, dez. 2019. Disponível em: https://link.springer.com/article10.1007%2FJHEP12%282019%29079. Acesso em: 11 ago. 2020. http://dx.doi.org/10.1007/jhep12(2019)079 1029-8479 10.1007/jhep12(2019)079 |
url |
https://repositorio.ufrn.br/handle/123456789/30313 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
instname_str |
Universidade Federal do Rio Grande do Norte (UFRN) |
instacron_str |
UFRN |
institution |
UFRN |
reponame_str |
Repositório Institucional da UFRN |
collection |
Repositório Institucional da UFRN |
bitstream.url.fl_str_mv |
https://repositorio.ufrn.br/bitstream/123456789/30313/1/EntanglementDynamics_VITI_2019.pdf https://repositorio.ufrn.br/bitstream/123456789/30313/3/license.txt https://repositorio.ufrn.br/bitstream/123456789/30313/2/license_rdf https://repositorio.ufrn.br/bitstream/123456789/30313/4/EntanglementDynamics_VITI_2019.pdf.txt https://repositorio.ufrn.br/bitstream/123456789/30313/5/EntanglementDynamics_VITI_2019.pdf.jpg |
bitstream.checksum.fl_str_mv |
195e7aef8731c729a5e4b6a0fd0dcb79 e9597aa2854d128fd968be5edc8a28d9 4d2950bda3d176f570a9f8b328dfbbef cd3bed10e91d56ae8f040897122fd606 1131a07e83a3870b8270184eb9b0d486 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN) |
repository.mail.fl_str_mv |
|
_version_ |
1797777033467527168 |