Evolution of complexity following a quantum quench in free field theory
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Publication Date: | 2018 |
Other Authors: | |
Format: | Article |
Language: | eng |
Source: | Repositório Institucional da UNESP |
Download full: | http://dx.doi.org/10.1007/JHEP06(2018)029 http://hdl.handle.net/11449/176412 |
Summary: | Using a recent proposal of circuit complexity in quantum field theories introduced by Jefferson and Myers, we compute the time evolution of the complexity following a smooth mass quench characterized by a time scale δt in a free scalar field theory. We show that the dynamics has two distinct phases, namely an early regime of approximately linear evolution followed by a saturation phase characterized by oscillations around a mean value. The behavior is similar to previous conjectures for the complexity growth in chaotic and holographic systems, although here we have found that the complexity may grow or decrease depending on whether the quench increases or decreases the mass, and also that the time scale for saturation of the complexity is of order δt (not parametrically larger). |
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Evolution of complexity following a quantum quench in free field theoryField Theories in Higher DimensionsGauge-gravity correspondenceUsing a recent proposal of circuit complexity in quantum field theories introduced by Jefferson and Myers, we compute the time evolution of the complexity following a smooth mass quench characterized by a time scale δt in a free scalar field theory. We show that the dynamics has two distinct phases, namely an early regime of approximately linear evolution followed by a saturation phase characterized by oscillations around a mean value. The behavior is similar to previous conjectures for the complexity growth in chaotic and holographic systems, although here we have found that the complexity may grow or decrease depending on whether the quench increases or decreases the mass, and also that the time scale for saturation of the complexity is of order δt (not parametrically larger).São Paulo State University (UNESP) Institute for Theoretical Physics (IFT), R. Dr. Bento T. Ferraz 271, Bl. IICenter for Quantum Mathematics and Physics Department of Physics University of CaliforniaInternational Institute of Physics Federal University of Rio Grande do Norte, Campus Universitário, Lagoa NovaSão Paulo State University (UNESP) Institute for Theoretical Physics (IFT), R. Dr. Bento T. Ferraz 271, Bl. IIUniversidade Estadual Paulista (Unesp)University of CaliforniaFederal University of Rio Grande do NorteAlves, Daniel W. F. [UNESP]Camilo, Giancarlo2018-12-11T17:20:42Z2018-12-11T17:20:42Z2018-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP06(2018)029Journal of High Energy Physics, v. 2018, n. 6, 2018.1029-84791126-6708http://hdl.handle.net/11449/17641210.1007/JHEP06(2018)0292-s2.0-850481644262-s2.0-85048164426.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2023-11-25T06:20:06Zoai:repositorio.unesp.br:11449/176412Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-25T06:20:06Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Evolution of complexity following a quantum quench in free field theory |
title |
Evolution of complexity following a quantum quench in free field theory |
spellingShingle |
Evolution of complexity following a quantum quench in free field theory Alves, Daniel W. F. [UNESP] Field Theories in Higher Dimensions Gauge-gravity correspondence |
title_short |
Evolution of complexity following a quantum quench in free field theory |
title_full |
Evolution of complexity following a quantum quench in free field theory |
title_fullStr |
Evolution of complexity following a quantum quench in free field theory |
title_full_unstemmed |
Evolution of complexity following a quantum quench in free field theory |
title_sort |
Evolution of complexity following a quantum quench in free field theory |
author |
Alves, Daniel W. F. [UNESP] |
author_facet |
Alves, Daniel W. F. [UNESP] Camilo, Giancarlo |
author_role |
author |
author2 |
Camilo, Giancarlo |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of California Federal University of Rio Grande do Norte |
dc.contributor.author.fl_str_mv |
Alves, Daniel W. F. [UNESP] Camilo, Giancarlo |
dc.subject.por.fl_str_mv |
Field Theories in Higher Dimensions Gauge-gravity correspondence |
topic |
Field Theories in Higher Dimensions Gauge-gravity correspondence |
description |
Using a recent proposal of circuit complexity in quantum field theories introduced by Jefferson and Myers, we compute the time evolution of the complexity following a smooth mass quench characterized by a time scale δt in a free scalar field theory. We show that the dynamics has two distinct phases, namely an early regime of approximately linear evolution followed by a saturation phase characterized by oscillations around a mean value. The behavior is similar to previous conjectures for the complexity growth in chaotic and holographic systems, although here we have found that the complexity may grow or decrease depending on whether the quench increases or decreases the mass, and also that the time scale for saturation of the complexity is of order δt (not parametrically larger). |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:20:42Z 2018-12-11T17:20:42Z 2018-06-01 |
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.uri.fl_str_mv |
http://dx.doi.org/10.1007/JHEP06(2018)029 Journal of High Energy Physics, v. 2018, n. 6, 2018. 1029-8479 1126-6708 http://hdl.handle.net/11449/176412 10.1007/JHEP06(2018)029 2-s2.0-85048164426 2-s2.0-85048164426.pdf |
url |
http://dx.doi.org/10.1007/JHEP06(2018)029 http://hdl.handle.net/11449/176412 |
identifier_str_mv |
Journal of High Energy Physics, v. 2018, n. 6, 2018. 1029-8479 1126-6708 10.1007/JHEP06(2018)029 2-s2.0-85048164426 2-s2.0-85048164426.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics 1,227 1,227 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1797789817959874560 |