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

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 $\Delta$) 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 $b_x$.

8 pages, 8 figures

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Cited by in corpus (6)

• Effect of different Dzyaloshinskii-Moriya interactions on entanglement in the Heisenberg XYZ chain
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• Quench Dynamics of Entanglement in an Opened Anisotropic Spin-1/2 Heisenberg Chain
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field
• Quantum correlations and coherence in a two-qubit anisotropic $XY$ under magnetic field