具有不同Dzyaloshinskiii-Moriya相互作用和非均匀磁场的各向异性海森堡XYZ模型中的纠缠
Entanglement in the anisotropic Heisenberg XYZ model with different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic field
摘要：
研究了具有不同Dzyaloshinskiii-Moriya（DM）相互作用和非均匀磁场的两量子比特Heisenberg XYZ系统中的纠缠.研究发现，控制参数（$D_{x}$，$B_{x}$和$b_{x}$）与常用控制参数（$D_{z}$，$B_{z}$和$b_{z}$）在纠缠度和临界温度上有显著的不同，x分量参数能更有效地提高纠缠度和临界温度.此外，我们显示这些x分量参数的纠缠控制的属性。在基态，增大自旋-轨道耦合参数$D_{x}$（spin-orbit coupling parameter）可以降低临界值$b_{xc}$，增大回复区的纠缠度;调整参数（增大$b_{x}$和$J$，减小$B_{x}$和$Δ$）可以降低临界值$D_{xc}$，增大回复区。在热态下，增加$D_{x}$可以增加回复区和回复区中的纠缠（对于$T$或$b_{x}$），并提高临界值$B_{xc}$，使高纠缠区变大。随着均匀磁场的减小，纠缠度和回复区增大.另外，小的非均匀磁场（$b_{x}$）具有与$D_{x}$相似的性质，随着$b_{x}$的增大，纠缠也出现复活现象，使得较大的$b_{x}$在较高的温度下仍能存在纠缠.
英文摘要：
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 $b_{x}$.
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