Total Pairwise Quantum Correlation and Entanglement in a Mixed-Three-Spin Ising-$XY$ Model with Added Dzyaloshinskii–Moriya Interaction under Decoherence
H. A. Zad**
Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Abstract:We investigate the behavior of geometric global quantum discord (GGQD) and concurrence (C) between half-spins of a mixed-three-spin (1/2, 1, 1/2) system with the Ising-$XY$ model for which spins (1, 1/2) have the Ising interaction and half-spins (1/2, 1/2) have both $XY$ and the Dzyaloshinskii–Moriya interactions together, under the decoherence action. A single-ion anisotropy property with coefficient $\zeta$ is assumed for the spin-integer. This system which includes an analytical Hamiltonian is considered at the front of an external homogeneous magnetic field $B$ in thermal equilibrium. Finally, we compare GGQD and C and express some interesting phase flip reactions of the total quantum correlation and pairwise entanglement between spins (1/2, 1/2). Generally, we conclude that the concurrence and GGQD have different behaviors under the phase flip channel.
. [J]. 中国物理快报, 2016, 33(09): 90302-090302.
H. A. Zad. Total Pairwise Quantum Correlation and Entanglement in a Mixed-Three-Spin Ising-$XY$ Model with Added Dzyaloshinskii–Moriya Interaction under Decoherence. Chin. Phys. Lett., 2016, 33(09): 90302-090302.