Quantum correlations in spin models
arXiv:1105.2866 · doi:10.1016/j.aop.2011.05.002
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 use of measurement-induced disturbance (MID) [Phys. Rev. A, 77, 022301 (2008)] and geometric measure of quantum discord (GQD) [Phys. Rev. Lett. 105, 190502 (2010)]. Their dependencies on external magnetic field, spin-spin coupling, and Dzyaloshinski-Moriya (DM) interaction are presented in detail. We also compare Bell nonlocality, entanglement measured by concurrence, MID and GQD and illustrate their different characteristics.
1 text and 5 eps figures, accepted by Annals of Physics
References in corpus (6)
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- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
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Cited by in corpus (10)
- The classical-quantum boundary for correlations: discord and related measures
- Quantum discord and its allies: a review
- Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
- Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
- Universal quantum correlation close to quantum critical phenomena
- Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
- Entanglement and coherence in a spin-s XXZ system under non-uniform fields
- Nonlocal Correlation in Heisenberg Spin Models
- Thermal quantum discord in the Heisenberg chain with impurity
- Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations