Covariance-based method for eigenstate factorization and generalized singlets
- Autores
- Petrovich, Federico; Rossignoli, Raúl Dante; Canosa, Norma Beatriz
- Año de publicación
- 2024
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We derive a general method for determining the necessary and sufficient conditions for exact factorization of an eigenstate of a many-body Hamiltonian , based on the quantum covariance matrix of the relevant local operators building the Hamiltonian. The "site" can be either a single component or a group of subsystems. The formalism is then used to derive exact dimerization and clusterization conditions in spin systems, covering from spin- singlets and clusters coupled to total spin to general nonmaximally entangled spin- dimers (generalized singlets). New results for field induced dimerization in anisotropic arrays under a magnetic field are obtained
Instituto de Física La Plata
Comisión de Investigaciones Científicas de la provincia de Buenos Aires - Materia
-
Física
Quantum Covariance
Eigenstate Separability - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-nd/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/184476
Ver los metadatos del registro completo
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Covariance-based method for eigenstate factorization and generalized singletsPetrovich, FedericoRossignoli, Raúl DanteCanosa, Norma BeatrizFísicaQuantum CovarianceEigenstate SeparabilityWe derive a general method for determining the necessary and sufficient conditions for exact factorization of an eigenstate of a many-body Hamiltonian , based on the quantum covariance matrix of the relevant local operators building the Hamiltonian. The "site" can be either a single component or a group of subsystems. The formalism is then used to derive exact dimerization and clusterization conditions in spin systems, covering from spin- singlets and clusters coupled to total spin to general nonmaximally entangled spin- dimers (generalized singlets). New results for field induced dimerization in anisotropic arrays under a magnetic field are obtainedInstituto de Física La PlataComisión de Investigaciones Científicas de la provincia de Buenos Aires2024-11-15info: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/10915/184476enginfo:eu-repo/semantics/altIdentifier/issn/2469-9934info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.110.052213info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:50:32Zoai:sedici.unlp.edu.ar:10915/184476Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:50:32.621SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Covariance-based method for eigenstate factorization and generalized singlets |
| title |
Covariance-based method for eigenstate factorization and generalized singlets |
| spellingShingle |
Covariance-based method for eigenstate factorization and generalized singlets Petrovich, Federico Física Quantum Covariance Eigenstate Separability |
| title_short |
Covariance-based method for eigenstate factorization and generalized singlets |
| title_full |
Covariance-based method for eigenstate factorization and generalized singlets |
| title_fullStr |
Covariance-based method for eigenstate factorization and generalized singlets |
| title_full_unstemmed |
Covariance-based method for eigenstate factorization and generalized singlets |
| title_sort |
Covariance-based method for eigenstate factorization and generalized singlets |
| dc.creator.none.fl_str_mv |
Petrovich, Federico Rossignoli, Raúl Dante Canosa, Norma Beatriz |
| author |
Petrovich, Federico |
| author_facet |
Petrovich, Federico Rossignoli, Raúl Dante Canosa, Norma Beatriz |
| author_role |
author |
| author2 |
Rossignoli, Raúl Dante Canosa, Norma Beatriz |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Física Quantum Covariance Eigenstate Separability |
| topic |
Física Quantum Covariance Eigenstate Separability |
| dc.description.none.fl_txt_mv |
We derive a general method for determining the necessary and sufficient conditions for exact factorization of an eigenstate of a many-body Hamiltonian , based on the quantum covariance matrix of the relevant local operators building the Hamiltonian. The "site" can be either a single component or a group of subsystems. The formalism is then used to derive exact dimerization and clusterization conditions in spin systems, covering from spin- singlets and clusters coupled to total spin to general nonmaximally entangled spin- dimers (generalized singlets). New results for field induced dimerization in anisotropic arrays under a magnetic field are obtained Instituto de Física La Plata Comisión de Investigaciones Científicas de la provincia de Buenos Aires |
| description |
We derive a general method for determining the necessary and sufficient conditions for exact factorization of an eigenstate of a many-body Hamiltonian , based on the quantum covariance matrix of the relevant local operators building the Hamiltonian. The "site" can be either a single component or a group of subsystems. The formalism is then used to derive exact dimerization and clusterization conditions in spin systems, covering from spin- singlets and clusters coupled to total spin to general nonmaximally entangled spin- dimers (generalized singlets). New results for field induced dimerization in anisotropic arrays under a magnetic field are obtained |
| publishDate |
2024 |
| dc.date.none.fl_str_mv |
2024-11-15 |
| 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 |
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article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/184476 |
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http://sedici.unlp.edu.ar/handle/10915/184476 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/2469-9934 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.110.052213 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
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