Quantum correlations in spin models

• Published in: Annals of physics Vol. 326; no. 10; pp. 2694 - 2701
• Main Authors: Zhang, Guo-Feng, Fan, Heng, Ji, Ai-Ling, Jiang, Zhao-Tan, Abliz, Ahmad, Liu, Wu-Ming
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.10.2011; Elsevier BV
• Subjects: ANGULAR MOMENTUM; Bell nonlocality; Bells; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Correlation; Correlation analysis; CORRELATIONS; COUPLING; DISTURBANCES; Entanglement; GEOMETRY; INTERACTIONS; MAGNETIC FIELDS; MATHEMATICS; Measurement-induced disturbance (MID); PARTICLE PROPERTIES; QUANTUM ENTANGLEMENT; Quantum physics; SPIN; Spin model; Spin-spin coupling; Bell nonlocality; Entanglement; Spin model; Measurement-induced disturbance (MID)
• ISSN: 0003-4916; 1096-035X
• DOI: 10.1016/j.aop.2011.05.002

Bell nonlocality, entanglement and nonclassical correlations are different aspects of quantum correlations for a given state. There are many methods to measure nonclassical correlations. In this paper, nonclassical correlations in two-qubit spin models are measured by the use of measurement-induced disturbance (MID) [S. Luo, Phys. Rev. A 77 (2008) 022301] and geometric measure of quantum discord (GQD) [B. Dakić, V. Vedral, C. Brukner, Phys. Rev. Lett. 105 (2010) 190502]. Their dependences on external magnetic field, spin–spin coupling, and the Dzyaloshinskii–Moriya (DM) interaction are presented in detail. We also compare Bell nonlocality, entanglement measured by concurrence, MID and GQD and illustrate their different characteristics. ► Various quantum correlations in spin models are investigated. ► Nonclassical correlations are measured by measurement-induced disturbance and Geometric measure of quantum discord. ► Also, we investigate Bell nonlocality and concurrence. ► We compare these quantum quantities and illustrate their different characteristics.