Eur. Phys. J. D 50, 207-214 (2008)
https://doi.org/10.1140/epjd/e2008-00208-x

Entanglement in the anisotropic Heisenberg XYZ model with different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic field

¹ Department of Physics, Hefei Teachers College, Hefei, 230061, P.R. China
² School of Physics & Material Science, Anhui University, Hefei, 230039, P.R. China

Corresponding authors: ^a dachuang@ahu.edu.cn - ^b zhuoliangcao@gmail.com

Received: 2 July 2008
Revised: 4 October 2008
Published online: 31 October 2008

Abstract

We investigate the entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii-Moriya (DM) interaction and inhomogeneous magnetic field. It is found that the control parameters (D_x, B_x and b_x) are remarkably different with the common control parameters (D_z, B_z and b_z) in the entanglement and the critical temperature, and these x-component parameters can increase the entanglement and the critical temperature more efficiently. Furthermore, we show the properties of these x-component parameters for the control of entanglement. In the ground state, increasing D_x (spin-orbit coupling parameter) can decrease the critical value b_xc and increase the entanglement in the revival region, and adjusting some parameters (increasing b_x and J, decreasing B_x and Δ) can decrease the critical value D_xc to enlarge the revival region. In the thermal state, increasing D_x can increase the revival region and the entanglement in the revival region (for T or b_x), and enhance the critical value B_xc to make the region of high entanglement larger. Also, the entanglement and the revival region will increase with the decrease of B_x (uniform magnetic field). In addition, small b_x (nonuniform magnetic field) has some similar properties to D_x, and with the increase of b_x the entanglement also has a revival phenomenon, so that the entanglement can exist at higher temperature for larger b_x.