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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quantum correlations and coherence in spin-1 Heisenberg chains

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Author(s):
Malvezzi, A. L. [1] ; Karpat, G. [1, 2] ; Cakmak, B. [3, 4] ; Fanchini, F. F. [1] ; Debarba, T. [5] ; Vianna, R. O. [6]
Total Authors: 6
Affiliation:
[1] UNESP Univ Estadual Paulista, Fac Ciencias, BR-17033360 Sao Paulo - Brazil
[2] Univ Turku, Dept Phys & Astron, Turku Ctr Quantum Phys, FI-20014 Turun - Finland
[3] Koc Univ, Dept Phys, TR-34450 Istanbul, Sariyer - Turkey
[4] Univ Estadual Campinas, Inst Fis Gleb Wataghin, POB 6165, BR-13083970 Sao Paulo - Brazil
[5] Univ Tecnol Fed Parana UTFPR, Campus Cornelio Procopio, BR-86300000 Cornelio Procopio, Parana - Brazil
[6] Univ Fed Minas Gerais, Dept Fis, ICEx, Ave Presidente Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG - Brazil
Total Affiliations: 6
Document type: Journal article
Source: Physical Review B; v. 93, n. 18 MAY 24 2016.
Web of Science Citations: 38
Abstract

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)

FAPESP's process: 15/05581-7 - Quantum control in dissipative systems
Grantee:Felipe Fernandes Fanchini
Support type: Regular Research Grants
FAPESP's process: 14/20941-7 - Non-Markovianity in quantum networks
Grantee:Goktug Karpat
Support type: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 08/57856-6 - National Institute of Science and Technology - Quantum Information
Grantee:Amir Ordacgi Caldeira
Support type: Research Projects - Thematic Grants
FAPESP's process: 12/18558-5 - Studying the monogamic relations between entanglement and quantum correlations
Grantee:Goktug Karpat
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 14/21792-5 - Protection of quantum algorithms and logic gates in open quantum systems
Grantee:Baris Cakmak
Support type: Scholarships in Brazil - Post-Doctorate