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Quantum correlations in spin models
Authors:Guo-Feng Zhang  Heng Fan  Ai-Ling Ji  Zhao-Tan Jiang  Ahmad Abliz  Wu-Ming Liu
Institution:aDepartment of Physics, School of Physics and Nuclear Energy Engineering, Beihang University, Xueyuan Road No. 37, Beijing 100191, PR China;bBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, PR China;cDepartment of Physics, Beijing Institute of Technology, Beijing 100081, PR China;dSchool of Mathematics, Physics and Informatics, Xinjiang Normal University, Urumchi 830054, PR China
Abstract: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. Daki?, 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.
Keywords:Bell nonlocality  Entanglement  Measurement-induced disturbance (MID)  Spin model
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