Quantum correlations and coherence in spin-1 Heisenberg chains

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dc.contributor.authorMalvezzi, A. L. [UNESP]
dc.contributor.authorKarpat, G. [UNESP]
dc.contributor.authorÇakmak, B.
dc.contributor.authorFanchini, F. F. [UNESP]
dc.contributor.authorDebarba, T.
dc.contributor.authorVianna, R. O.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversity of Turku
dc.contributor.institutionKoç University
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Tecnológica Federal Do Paraná (UTFPR)
dc.contributor.institutionUniversidade Federal de Minas Gerais (UFMG)
dc.date.accessioned2018-12-11T16:42:34Z
dc.date.available2018-12-11T16:42:34Z
dc.date.issued2016-05-24
dc.description.abstractWe 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.en
dc.description.affiliationFaculdade de Ciências UNESP Universidade Estadual Paulista
dc.description.affiliationTurku Center for Quantum Physics Department of Physics and Astronomy University of Turku
dc.description.affiliationDepartment of Physics Koç University
dc.description.affiliationInstituto de Fisica Gleb Wataghin Universidade Estadual de Campinas, P.O. Box 6165
dc.description.affiliationUniversidade Tecnológica Federal Do Paraná (UTFPR) Campus Cornélio Procópio, Avenida Alberto Carazzai 1640
dc.description.affiliationDepartamento de Fisica ICEx Universidade Federal de Minas Gerais, Avenida Presidente Antônio Carlos 6627
dc.description.affiliationUnespFaculdade de Ciências UNESP Universidade Estadual Paulista
dc.identifierhttp://dx.doi.org/10.1103/PhysRevB.93.184428
dc.identifier.citationPhysical Review B, v. 93, n. 18, 2016.
dc.identifier.doi10.1103/PhysRevB.93.184428
dc.identifier.file2-s2.0-84970974350.pdf
dc.identifier.issn2469-9969
dc.identifier.issn2469-9950
dc.identifier.lattes8884890472193474
dc.identifier.orcid0000-0003-3297-905X
dc.identifier.scopus2-s2.0-84970974350
dc.identifier.urihttp://hdl.handle.net/11449/168692
dc.language.isoeng
dc.relation.ispartofPhysical Review B
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleQuantum correlations and coherence in spin-1 Heisenberg chainsen
dc.typeArtigo
unesp.author.lattes4459191234201599[1]
unesp.author.lattes8884890472193474[4]
unesp.author.orcid0000-0002-3195-9551[1]
unesp.author.orcid0000-0003-3297-905X[4]

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