Quantum correlations and coherence in spin-1 Heisenberg chains

Autor(es)

Malvezzi, A. L. ; Karpat, G. ; Cakmak, B. ; Fanchini, F. F. ; Debarba, T. ; Vianna, R. O.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW B; v. 93, n. 18, p. 8-pg., 2016-05-24.

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. (AU)

• Processo FAPESP: 08/57856-6 - Instituto Nacional de Ciência e Tecnologia em Informação Quântica
• Beneficiário: Amir Ordacgi Caldeira
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 14/21792-5 - Proteção de algoritmos quânticos e portas lógicas em sistemas quânticos abertos
• Beneficiário: Baris Cakmak
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/20941-7 - Não-Markovianidade em redes quânticas
• Beneficiário: Goktug Karpat
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 12/18558-5 - Estudo das relações monogâmicas entre o emaranhamento e a correlação quântica
• Beneficiário: Goktug Karpat
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 15/05581-7 - Controle quântico em sistemas dissipativos
• Beneficiário: Felipe Fernandes Fanchini
• Modalidade de apoio: Auxílio à Pesquisa - Regular