Entanglement of two harmonic modes coupled by angular momentum

Autores
Rebón, Lorena; Rossignoli, Raúl Dante
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential or, equivalently, to that of a particle in a rotating quadratic potential. We analyze both the vacuum and thermal entanglement, thereby obtaining analytic expressions for the entanglement entropy and negativity through the Gaussian state formalism. It is shown that vacuum entanglement diverges at the edges of the dynamically stable sectors, increasing with the angular momentum and saturating for strong fields, whereas at finite temperature entanglement is nonzero just within a finite field or frequency window and no longer diverges. Moreover, the limit temperature for entanglement is finite in the whole stable domain. The thermal behavior of the Gaussian quantum discord and its difference from the negativity is also discussed.
Instituto de Física La Plata
Materia
Física
Quantum entanglement
Physics
Quantum discord
Angular momentum
Quantum state
Amplitude damping channel
Angular momentum coupling
Quantum electrodynamics
Squashed entanglement
Total angular momentum quantum number
Quantum mechanics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126316

id SEDICI_1240ccc233a45e20ab3a6eeaed76398b
oai_identifier_str oai:sedici.unlp.edu.ar:10915/126316
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Entanglement of two harmonic modes coupled by angular momentumRebón, LorenaRossignoli, Raúl DanteFísicaQuantum entanglementPhysicsQuantum discordAngular momentumQuantum stateAmplitude damping channelAngular momentum couplingQuantum electrodynamicsSquashed entanglementTotal angular momentum quantum numberQuantum mechanicsWe examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential or, equivalently, to that of a particle in a rotating quadratic potential. We analyze both the vacuum and thermal entanglement, thereby obtaining analytic expressions for the entanglement entropy and negativity through the Gaussian state formalism. It is shown that vacuum entanglement diverges at the edges of the dynamically stable sectors, increasing with the angular momentum and saturating for strong fields, whereas at finite temperature entanglement is nonzero just within a finite field or frequency window and no longer diverges. Moreover, the limit temperature for entanglement is finite in the whole stable domain. The thermal behavior of the Gaussian quantum discord and its difference from the negativity is also discussed.Instituto de Física La Plata2011-11-18info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126316enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1112.1441v1info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.84.052320info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:02:28Zoai:sedici.unlp.edu.ar:10915/126316Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:02:28.926SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Entanglement of two harmonic modes coupled by angular momentum
title Entanglement of two harmonic modes coupled by angular momentum
spellingShingle Entanglement of two harmonic modes coupled by angular momentum
Rebón, Lorena
Física
Quantum entanglement
Physics
Quantum discord
Angular momentum
Quantum state
Amplitude damping channel
Angular momentum coupling
Quantum electrodynamics
Squashed entanglement
Total angular momentum quantum number
Quantum mechanics
title_short Entanglement of two harmonic modes coupled by angular momentum
title_full Entanglement of two harmonic modes coupled by angular momentum
title_fullStr Entanglement of two harmonic modes coupled by angular momentum
title_full_unstemmed Entanglement of two harmonic modes coupled by angular momentum
title_sort Entanglement of two harmonic modes coupled by angular momentum
dc.creator.none.fl_str_mv Rebón, Lorena
Rossignoli, Raúl Dante
author Rebón, Lorena
author_facet Rebón, Lorena
Rossignoli, Raúl Dante
author_role author
author2 Rossignoli, Raúl Dante
author2_role author
dc.subject.none.fl_str_mv Física
Quantum entanglement
Physics
Quantum discord
Angular momentum
Quantum state
Amplitude damping channel
Angular momentum coupling
Quantum electrodynamics
Squashed entanglement
Total angular momentum quantum number
Quantum mechanics
topic Física
Quantum entanglement
Physics
Quantum discord
Angular momentum
Quantum state
Amplitude damping channel
Angular momentum coupling
Quantum electrodynamics
Squashed entanglement
Total angular momentum quantum number
Quantum mechanics
dc.description.none.fl_txt_mv We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential or, equivalently, to that of a particle in a rotating quadratic potential. We analyze both the vacuum and thermal entanglement, thereby obtaining analytic expressions for the entanglement entropy and negativity through the Gaussian state formalism. It is shown that vacuum entanglement diverges at the edges of the dynamically stable sectors, increasing with the angular momentum and saturating for strong fields, whereas at finite temperature entanglement is nonzero just within a finite field or frequency window and no longer diverges. Moreover, the limit temperature for entanglement is finite in the whole stable domain. The thermal behavior of the Gaussian quantum discord and its difference from the negativity is also discussed.
Instituto de Física La Plata
description We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential or, equivalently, to that of a particle in a rotating quadratic potential. We analyze both the vacuum and thermal entanglement, thereby obtaining analytic expressions for the entanglement entropy and negativity through the Gaussian state formalism. It is shown that vacuum entanglement diverges at the edges of the dynamically stable sectors, increasing with the angular momentum and saturating for strong fields, whereas at finite temperature entanglement is nonzero just within a finite field or frequency window and no longer diverges. Moreover, the limit temperature for entanglement is finite in the whole stable domain. The thermal behavior of the Gaussian quantum discord and its difference from the negativity is also discussed.
publishDate 2011
dc.date.none.fl_str_mv 2011-11-18
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126316
url http://sedici.unlp.edu.ar/handle/10915/126316
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1112.1441v1
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.84.052320
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1842260522846650368
score 13.13397