Ground-state separability and criticality in interacting many-particle systems

Autores
Petrovich, Federico; Canosa, Norma Beatriz; Rossignoli, Raúl Dante
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze exact ground state (GS) separability in general N-particle systems with two-site couplings. General necessary and sufficient conditions for full separability in the form of one- and two-site eigenvalue equations are first derived. The formalism is then applied to a class of SU(n)-type interacting systems where each constituent has access to n-local levels, and where the total number parity of each level is preserved. Explicit factorization conditions for parity-breaking GSs are obtained, which generalize those for XYZ spin systems and correspond to a fundamental GS multilevel parity transition where the lowest 2n-1 energy levels cross. We also identify a multicritical factorization point with exceptional high degeneracy proportional to Nn-1, arising when the total occupation number of each level is preserved, in which any uniform product state is an exact GS. Critical entanglement properties (such as full range pairwise entanglement) are shown to emerge in the immediate vicinity of factorization. Illustrative examples are provided.
Fil: Petrovich, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Canosa, Norma Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rossignoli, Raúl Dante. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Quantum Criticality
Quantum Entanglement
Quantum Phase Transitions
Quantum Spin Models
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/209505
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Ground-state separability and criticality in interacting many-particle systemsPetrovich, FedericoCanosa, Norma BeatrizRossignoli, Raúl DanteQuantum CriticalityQuantum EntanglementQuantum Phase TransitionsQuantum Spin Modelshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We analyze exact ground state (GS) separability in general N-particle systems with two-site couplings. General necessary and sufficient conditions for full separability in the form of one- and two-site eigenvalue equations are first derived. The formalism is then applied to a class of SU(n)-type interacting systems where each constituent has access to n-local levels, and where the total number parity of each level is preserved. Explicit factorization conditions for parity-breaking GSs are obtained, which generalize those for XYZ spin systems and correspond to a fundamental GS multilevel parity transition where the lowest 2n-1 energy levels cross. We also identify a multicritical factorization point with exceptional high degeneracy proportional to Nn-1, arising when the total occupation number of each level is preserved, in which any uniform product state is an exact GS. Critical entanglement properties (such as full range pairwise entanglement) are shown to emerge in the immediate vicinity of factorization. Illustrative examples are provided.Fil: Petrovich, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Canosa, Norma Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Rossignoli, Raúl Dante. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaAmerican Physical Society2022-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/209505Petrovich, Federico; Canosa, Norma Beatriz; Rossignoli, Raúl Dante; Ground-state separability and criticality in interacting many-particle systems; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 105; 3; 3-2022; 321201-3212131050-29472469-9934CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.105.032212info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.032212info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:00Zoai:ri.conicet.gov.ar:11336/209505instacron: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:34982025-09-29 09:36:00.546CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Ground-state separability and criticality in interacting many-particle systems
title Ground-state separability and criticality in interacting many-particle systems
spellingShingle Ground-state separability and criticality in interacting many-particle systems
Petrovich, Federico
Quantum Criticality
Quantum Entanglement
Quantum Phase Transitions
Quantum Spin Models
title_short Ground-state separability and criticality in interacting many-particle systems
title_full Ground-state separability and criticality in interacting many-particle systems
title_fullStr Ground-state separability and criticality in interacting many-particle systems
title_full_unstemmed Ground-state separability and criticality in interacting many-particle systems
title_sort Ground-state separability and criticality in interacting many-particle systems
dc.creator.none.fl_str_mv Petrovich, Federico
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author Petrovich, Federico
author_facet Petrovich, Federico
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author_role author
author2 Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author2_role author
author
dc.subject.none.fl_str_mv Quantum Criticality
Quantum Entanglement
Quantum Phase Transitions
Quantum Spin Models
topic Quantum Criticality
Quantum Entanglement
Quantum Phase Transitions
Quantum Spin Models
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We analyze exact ground state (GS) separability in general N-particle systems with two-site couplings. General necessary and sufficient conditions for full separability in the form of one- and two-site eigenvalue equations are first derived. The formalism is then applied to a class of SU(n)-type interacting systems where each constituent has access to n-local levels, and where the total number parity of each level is preserved. Explicit factorization conditions for parity-breaking GSs are obtained, which generalize those for XYZ spin systems and correspond to a fundamental GS multilevel parity transition where the lowest 2n-1 energy levels cross. We also identify a multicritical factorization point with exceptional high degeneracy proportional to Nn-1, arising when the total occupation number of each level is preserved, in which any uniform product state is an exact GS. Critical entanglement properties (such as full range pairwise entanglement) are shown to emerge in the immediate vicinity of factorization. Illustrative examples are provided.
Fil: Petrovich, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Canosa, Norma Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rossignoli, Raúl Dante. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We analyze exact ground state (GS) separability in general N-particle systems with two-site couplings. General necessary and sufficient conditions for full separability in the form of one- and two-site eigenvalue equations are first derived. The formalism is then applied to a class of SU(n)-type interacting systems where each constituent has access to n-local levels, and where the total number parity of each level is preserved. Explicit factorization conditions for parity-breaking GSs are obtained, which generalize those for XYZ spin systems and correspond to a fundamental GS multilevel parity transition where the lowest 2n-1 energy levels cross. We also identify a multicritical factorization point with exceptional high degeneracy proportional to Nn-1, arising when the total occupation number of each level is preserved, in which any uniform product state is an exact GS. Critical entanglement properties (such as full range pairwise entanglement) are shown to emerge in the immediate vicinity of factorization. Illustrative examples are provided.
publishDate 2022
dc.date.none.fl_str_mv 2022-03
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/11336/209505
Petrovich, Federico; Canosa, Norma Beatriz; Rossignoli, Raúl Dante; Ground-state separability and criticality in interacting many-particle systems; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 105; 3; 3-2022; 321201-321213
1050-2947
2469-9934
CONICET Digital
CONICET
url http://hdl.handle.net/11336/209505
identifier_str_mv Petrovich, Federico; Canosa, Norma Beatriz; Rossignoli, Raúl Dante; Ground-state separability and criticality in interacting many-particle systems; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 105; 3; 3-2022; 321201-321213
1050-2947
2469-9934
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.105.032212
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.032212
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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 13.069144

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