Aspects of quantum information in finite density field theory

We study different aspects of quantum field theory at finite density using methods from quantum information theory. For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in 1 + 1 space-time dimensions. Using the entanglement entropy on an interval, we construct...

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Autores: Daguerre, Lucas, Medina, Raimel, Solís Delgadillo, Juan Mario, Torroba, Gonzalo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/151698
Acceso en línea:http://hdl.handle.net/11336/151698
Access Level:acceso abierto
Palabra clave:CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
FIELD THEORIES IN LOWER DIMENSIONS
QUANTUM INFORMATION
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Aspects of quantum information in finite density field theoryDaguerre, LucasMedina, RaimelSolís Delgadillo, Juan MarioTorroba, GonzaloCONFORMAL FIELD THEORYRENORMALIZATION GROUPFIELD THEORIES IN LOWER DIMENSIONSQUANTUM INFORMATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study different aspects of quantum field theory at finite density using methods from quantum information theory. For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in 1 + 1 space-time dimensions. Using the entanglement entropy on an interval, we construct an entropic c-function that is finite. Unlike what happens in Lorentz-invariant theories, this c-function exhibits a strong violation of monotonicity; it also encodes the creation of long-range entanglement from the Fermi surface. Motivated by previous works on lattice models, we next calculate numerically the Renyi entropies and find Friedel-type oscillations; these are understood in terms of a defect operator product expansion. Furthermore, we consider the mutual information as a measure of correlation functions between different regions. Using a long-distance expansion previously developed by Cardy, we argue that the mutual information detects Fermi surface correlations already at leading order in the expansion. We also analyze the relative entropy and its Renyi generalizations in order to distinguish states with different charge and/or mass. In particular, we show that states in different superselection sectors give rise to a super-extensive behavior in the relative entropy. Finally, we discuss possible extensions to interacting theories, and argue for the relevance of some of these measures for probing non-Fermi liquids.Fil: Daguerre, Lucas. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Medina, Raimel. Austria Institute of Technology; AustriaFil: Solís Delgadillo, Juan Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Nacional de Cuyo; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Torroba, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de Cuyo; ArgentinaSpringer2021-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/151698Daguerre, Lucas; Medina, Raimel; Solís Delgadillo, Juan Mario; Torroba, Gonzalo; Aspects of quantum information in finite density field theory; Springer; Journal of High Energy Physics; 3; 3-2021; 1-351029-8479CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP03%282021%29079info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP03(2021)079info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:10:04Zoai:ri.conicet.gov.ar:11336/151698instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 14:10:04.373CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Aspects of quantum information in finite density field theory
title Aspects of quantum information in finite density field theory
spellingShingle Aspects of quantum information in finite density field theory
Daguerre, Lucas
CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
FIELD THEORIES IN LOWER DIMENSIONS
QUANTUM INFORMATION
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Aspects of quantum information in finite density field theory
title_full Aspects of quantum information in finite density field theory
title_fullStr Aspects of quantum information in finite density field theory
title_full_unstemmed Aspects of quantum information in finite density field theory
title_sort Aspects of quantum information in finite density field theory
dc.creator.none.fl_str_mv Daguerre, Lucas
Medina, Raimel
Solís Delgadillo, Juan Mario
Torroba, Gonzalo
author Daguerre, Lucas
author_facet Daguerre, Lucas
Medina, Raimel
Solís Delgadillo, Juan Mario
Torroba, Gonzalo
author_role author
author2 Medina, Raimel
Solís Delgadillo, Juan Mario
Torroba, Gonzalo
author2_role author
author
author
dc.subject.none.fl_str_mv CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
FIELD THEORIES IN LOWER DIMENSIONS
QUANTUM INFORMATION
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
FIELD THEORIES IN LOWER DIMENSIONS
QUANTUM INFORMATION
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description We study different aspects of quantum field theory at finite density using methods from quantum information theory. For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in 1 + 1 space-time dimensions. Using the entanglement entropy on an interval, we construct an entropic c-function that is finite. Unlike what happens in Lorentz-invariant theories, this c-function exhibits a strong violation of monotonicity; it also encodes the creation of long-range entanglement from the Fermi surface. Motivated by previous works on lattice models, we next calculate numerically the Renyi entropies and find Friedel-type oscillations; these are understood in terms of a defect operator product expansion. Furthermore, we consider the mutual information as a measure of correlation functions between different regions. Using a long-distance expansion previously developed by Cardy, we argue that the mutual information detects Fermi surface correlations already at leading order in the expansion. We also analyze the relative entropy and its Renyi generalizations in order to distinguish states with different charge and/or mass. In particular, we show that states in different superselection sectors give rise to a super-extensive behavior in the relative entropy. Finally, we discuss possible extensions to interacting theories, and argue for the relevance of some of these measures for probing non-Fermi liquids.
publishDate 2021
dc.date.none.fl_str_mv 2021-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/151698
Daguerre, Lucas; Medina, Raimel; Solís Delgadillo, Juan Mario; Torroba, Gonzalo; Aspects of quantum information in finite density field theory; Springer; Journal of High Energy Physics; 3; 3-2021; 1-35
1029-8479
CONICET Digital
CONICET
url http://hdl.handle.net/11336/151698
identifier_str_mv Daguerre, Lucas; Medina, Raimel; Solís Delgadillo, Juan Mario; Torroba, Gonzalo; Aspects of quantum information in finite density field theory; Springer; Journal of High Energy Physics; 3; 3-2021; 1-35
1029-8479
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP03%282021%29079
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP03(2021)079
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15.81155

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