Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/319377
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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampCakmak, Barispt_BR
dc.typeArtigopt_BR
dc.titleQuantum correlations and coherence in spin-1 Heisenberg chainspt_BR
dc.contributor.authorMalvezzi, A. L.pt_BR
dc.contributor.authorKarpat, G.pt_BR
dc.contributor.authorCakmak, B.pt_BR
dc.contributor.authorFanchini, F. F.pt_BR
dc.contributor.authorDebarba, T.pt_BR
dc.contributor.authorVianna, R. O.pt_BR
dc.subjectHeisenberg, Principio de incerteza de, Correlações quânticas, Transição de fase quânticapt_BR
dc.subject.otherlanguageHeisenberg uncertainty principle, Quantum correlations, Quantum phase transitionpt_BR
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. © 2016 American Physical Society.en
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.pt_BR
dc.relation.ispartofPhysical review. B, Covering condensed matter and materials physicspt_BR
dc.relation.ispartofabbreviationPhys. rev. Bpt_BR
dc.publisher.cityCollege Park, MDpt_BR
dc.publisher.countryEstados Unidospt_BR
dc.publisherAmerican Physical Societypt_BR
dc.date.issued2016pt_BR
dc.date.monthofcirculationMaypt_BR
dc.identifier.citationPhysical Review B - Condensed Matter And Materials Physics. American Physical Society, v. 93, p. , 2016.pt_BR
dc.language.isoengpt_BR
dc.description.volume93pt_BR
dc.description.issuenumber18pt_BR
dc.description.firstpage1pt_BR
dc.description.lastpage8pt_BR
dc.rightsabertopt_BR
dc.sourceSCOPUSpt_BR
dc.identifier.issn2469-9950pt_BR
dc.identifier.eissn2469-9969pt_BR
dc.identifier.doi10.1103/PhysRevB.93.184428pt_BR
dc.identifier.urlhttps://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.184428pt_BR
dc.description.sponsorshipFAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOpt_BR
dc.description.sponsorshipCNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOpt_BR
dc.description.sponsorshipFAPEMIG - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE MINAS GERAISpt_BR
dc.description.sponsorship1FAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOpt_BR
dc.description.sponsorship1CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOpt_BR
dc.description.sponsorship1FAPEMIG - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE MINAS GERAISpt_BR
dc.description.sponsordocumentnumber2008/57856-6, 2012/18558-5, 2014/21792-5, 2014/20941-7, 2015/05581-7pt_BR
dc.description.sponsordocumentnumber474592/2013-8pt_BR
dc.description.sponsordocumentnumberSem informaçãopt_BR
dc.date.available2016-12-06T17:43:42Z-
dc.date.accessioned2016-12-06T17:43:42Z-
dc.description.provenanceMade available in DSpace on 2016-12-06T17:43:42Z (GMT). No. of bitstreams: 1 2-s2.0-84970974350.pdf: 323536 bytes, checksum: 7fd3eab96024e162680d23a1975f657f (MD5) Previous issue date: 2016 Bitstreams deleted on 2020-09-02T13:41:23Z: 2-s2.0-84970974350.pdf,. Added 1 bitstream(s) on 2020-09-02T13:45:35Z : No. of bitstreams: 1 2-s2.0-84970974350.pdf: 520187 bytes, checksum: 9c8d1dc8d6a352ab1d36ec3b8efe0561 (MD5)en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/319377-
dc.contributor.departmentDepartamento de Física da Matéria Condensadapt_BR
dc.contributor.unidadeInstituto de Física Gleb Wataghinpt_BR
dc.identifier.source2-s2.0-84970974350pt_BR
dc.creator.orcid0000-0002-6124-3925pt_BR
dc.type.formArtigopt_BR
dc.identifier.articleid184428pt_BR
dc.description.sponsorNoteA.L.M. acknowledges the financial support from the Foundation for Development of UNESP (FUNDUNESP). G.K. is supported by the São Paulo Research Foundation (FAPESP) under the Grants No. 2012/18558-5 and No. 2014/20941-7, F.F.F. under the Grant No. 2015/05581-7, and B.Ç. under Grant No. 2014/21792-5. F.F.F. is also supported by the National Counsel of Technological and Scientific Development (CNPq) under Grant No. 474592/2013-8 and by the National Institute for Science and Technology of Quantum Information (INCT-IQ) under the process number 2008/57856-6. R.O.V. acknowledges the support from the Minas Gerais Research Foundation (FAPEMIG), CNPq, and INCT-IQ.pt_BR
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