Quantum correlations and coherence in spin-1 Heisenberg chains
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevB.93.184428 http://hdl.handle.net/11449/168692 |
Resumo: | We explore quantum and classical correlations along with coherence in the ground states of spin-1 Heisenberg chains, namely the one-dimensional XXZ model and the one-dimensional bilinear biquadratic model, with the techniques of density matrix renormalization group theory. Exploiting the tools of quantum information theory, that is, by studying quantum discord, quantum mutual information, and three recently introduced coherence measures in the reduced density matrix of two nearest neighbor spins in the bulk, we investigate the quantum phase transitions and special symmetry points in these models. We point out the relative strengths and weaknesses of correlation and coherence measures as figures of merit to witness the quantum phase transitions and symmetry points in the considered spin-1 Heisenberg chains. In particular, we demonstrate that, as none of the studied measures can detect the infinite-order Kosterlitz-Thouless transition in the XXZ model, they appear to be able to signal the existence of the same type of transition in the biliear biquadratic model. However, we argue that what is actually detected by the measures here is the SU(3) symmetry point of the model rather than the infinite-order quantum phase transition. Moreover, we show in the XXZ model that examining even single site coherence can be sufficient to spotlight the second-order phase transition and the SU(2) symmetry point. |
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Quantum correlations and coherence in spin-1 Heisenberg chainsWe explore quantum and classical correlations along with coherence in the ground states of spin-1 Heisenberg chains, namely the one-dimensional XXZ model and the one-dimensional bilinear biquadratic model, with the techniques of density matrix renormalization group theory. Exploiting the tools of quantum information theory, that is, by studying quantum discord, quantum mutual information, and three recently introduced coherence measures in the reduced density matrix of two nearest neighbor spins in the bulk, we investigate the quantum phase transitions and special symmetry points in these models. We point out the relative strengths and weaknesses of correlation and coherence measures as figures of merit to witness the quantum phase transitions and symmetry points in the considered spin-1 Heisenberg chains. In particular, we demonstrate that, as none of the studied measures can detect the infinite-order Kosterlitz-Thouless transition in the XXZ model, they appear to be able to signal the existence of the same type of transition in the biliear biquadratic model. However, we argue that what is actually detected by the measures here is the SU(3) symmetry point of the model rather than the infinite-order quantum phase transition. Moreover, we show in the XXZ model that examining even single site coherence can be sufficient to spotlight the second-order phase transition and the SU(2) symmetry point.Faculdade de Ciências UNESP Universidade Estadual PaulistaTurku Center for Quantum Physics Department of Physics and Astronomy University of TurkuDepartment of Physics Koç UniversityInstituto de Fisica Gleb Wataghin Universidade Estadual de Campinas, P.O. Box 6165Universidade Tecnológica Federal Do Paraná (UTFPR) Campus Cornélio Procópio, Avenida Alberto Carazzai 1640Departamento de Fisica ICEx Universidade Federal de Minas Gerais, Avenida Presidente Antônio Carlos 6627Faculdade de Ciências UNESP Universidade Estadual PaulistaUniversidade Estadual Paulista (Unesp)University of TurkuKoç UniversityUniversidade Estadual de Campinas (UNICAMP)Universidade Tecnológica Federal Do Paraná (UTFPR)Universidade Federal de Minas Gerais (UFMG)Malvezzi, A. L. [UNESP]Karpat, G. [UNESP]Çakmak, B.Fanchini, F. F. [UNESP]Debarba, T.Vianna, R. O.2018-12-11T16:42:34Z2018-12-11T16:42:34Z2016-05-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevB.93.184428Physical Review B, v. 93, n. 18, 2016.2469-99692469-9950http://hdl.handle.net/11449/16869210.1103/PhysRevB.93.1844282-s2.0-849709743502-s2.0-84970974350.pdf88848904721934740000-0003-3297-905XScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Binfo:eu-repo/semantics/openAccess2023-10-26T06:05:45Zoai:repositorio.unesp.br:11449/168692Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:59:58.791475Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Quantum correlations and coherence in spin-1 Heisenberg chains |
title |
Quantum correlations and coherence in spin-1 Heisenberg chains |
spellingShingle |
Quantum correlations and coherence in spin-1 Heisenberg chains Malvezzi, A. L. [UNESP] |
title_short |
Quantum correlations and coherence in spin-1 Heisenberg chains |
title_full |
Quantum correlations and coherence in spin-1 Heisenberg chains |
title_fullStr |
Quantum correlations and coherence in spin-1 Heisenberg chains |
title_full_unstemmed |
Quantum correlations and coherence in spin-1 Heisenberg chains |
title_sort |
Quantum correlations and coherence in spin-1 Heisenberg chains |
author |
Malvezzi, A. L. [UNESP] |
author_facet |
Malvezzi, A. L. [UNESP] Karpat, G. [UNESP] Çakmak, B. Fanchini, F. F. [UNESP] Debarba, T. Vianna, R. O. |
author_role |
author |
author2 |
Karpat, G. [UNESP] Çakmak, B. Fanchini, F. F. [UNESP] Debarba, T. Vianna, R. O. |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of Turku Koç University Universidade Estadual de Campinas (UNICAMP) Universidade Tecnológica Federal Do Paraná (UTFPR) Universidade Federal de Minas Gerais (UFMG) |
dc.contributor.author.fl_str_mv |
Malvezzi, A. L. [UNESP] Karpat, G. [UNESP] Çakmak, B. Fanchini, F. F. [UNESP] Debarba, T. Vianna, R. O. |
description |
We explore quantum and classical correlations along with coherence in the ground states of spin-1 Heisenberg chains, namely the one-dimensional XXZ model and the one-dimensional bilinear biquadratic model, with the techniques of density matrix renormalization group theory. Exploiting the tools of quantum information theory, that is, by studying quantum discord, quantum mutual information, and three recently introduced coherence measures in the reduced density matrix of two nearest neighbor spins in the bulk, we investigate the quantum phase transitions and special symmetry points in these models. We point out the relative strengths and weaknesses of correlation and coherence measures as figures of merit to witness the quantum phase transitions and symmetry points in the considered spin-1 Heisenberg chains. In particular, we demonstrate that, as none of the studied measures can detect the infinite-order Kosterlitz-Thouless transition in the XXZ model, they appear to be able to signal the existence of the same type of transition in the biliear biquadratic model. However, we argue that what is actually detected by the measures here is the SU(3) symmetry point of the model rather than the infinite-order quantum phase transition. Moreover, we show in the XXZ model that examining even single site coherence can be sufficient to spotlight the second-order phase transition and the SU(2) symmetry point. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-05-24 2018-12-11T16:42:34Z 2018-12-11T16:42:34Z |
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/10.1103/PhysRevB.93.184428 Physical Review B, v. 93, n. 18, 2016. 2469-9969 2469-9950 http://hdl.handle.net/11449/168692 10.1103/PhysRevB.93.184428 2-s2.0-84970974350 2-s2.0-84970974350.pdf 8884890472193474 0000-0003-3297-905X |
url |
http://dx.doi.org/10.1103/PhysRevB.93.184428 http://hdl.handle.net/11449/168692 |
identifier_str_mv |
Physical Review B, v. 93, n. 18, 2016. 2469-9969 2469-9950 10.1103/PhysRevB.93.184428 2-s2.0-84970974350 2-s2.0-84970974350.pdf 8884890472193474 0000-0003-3297-905X |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review B |
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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1808128591488090112 |