采用纠缠的度量方法negativity研究了非均匀磁场条件下不同方向自 旋轨道耦合相互作用对自旋为1的Heisenberg XX系统热纠缠的影响。研究发现高温时纠缠会随 着Dzialoshinskii-Moriya (DM)相互作用的增加而增大,但是低温时, 纠缠随DM相互作用的增加会出现起伏变化。x方向DM相互作用的纠缠一般较z方向DM相互作用的纠缠强, 但是在一定条件下, z方向的纠缠也会高于x方向的纠缠,从而可以通过调节DM相互作用的方向等控制和生成纠缠。 研究还发现可以利用纠缠关于磁场的对称性质以及纠缠的突变性来实现量子逻辑门。

The effects of different spin-orbit interaction on entanglement of a two-qutrit Heisenberg XX system with inhomogeneous magnetic fields were investigated by means of negativity. It is found that with increasing of the Dzialoshinskii-Moriya (DM) interaction, entanglement increases at high temperature, while it fluctuates at low temperature. In general case, the entanglement of x component Dzialoshinskii-Moriya (DM) interaction is higher than that of z component and it is on the contrary under certain conditions. So, entanglement can be controlled by varying the directions of DM interaction. Also quantum logic gate can be realized by using the symmetry and transition of entanglement.