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Chinese Physics Letters

Maximizing Thermal Entanglement of XY Model Using Site-Dependent Magnetic Fields in Specific Directions

陈文岭, Dong Yang, 顾世建

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

我们在 two-qubit 借助于同时发生学习热纠纷各向同性的 XY 模型面对地点依赖者在任意的方向的外部磁场。我们发现在给定的温度和磁场力量，关于 x-y 飞机的二个领域的镜子对称是为最大的纠纷的一个必要条件。然而，如果地力量上没有限制，那么，为最大的纠纷的必要条件归结为二块地是垂直的配置，反平行并且与一样的力量。我们也调查各向异性的 XY 模型并且发现上述结论差不多成立。

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我们在 two-qubit 借助于同时发生学习热纠纷各向同性的 XY 模型面对地点依赖者在任意的方向的外部磁场。我们发现在给定的温度和磁场力量，关于 x-y 飞机的二个领域的镜子对称是为最大的纠纷的一个必要条件。然而，如果地力量上没有限制，那么，为最大的纠纷的必要条件归结为二块地是垂直的配置，反平行并且与一样的力量。我们也调查各向异性的 XY 模型并且发现上述结论差不多成立。
有不同不同类的磁场的一个 two-qubit Heisenberg XYZ 模型的热纠纷上的纺纱纺纱相互作用的效果被调查。纠纷依赖于纺纱纺纱相互作用和不同类的磁场，这被显示出。越大 Ji (i 轴纺纱纺纱相互作用) ，越 higher 批评价值双性人(i 轴制服磁场) 有。而且在弱地的政体，，更大的 Ji 在强壮地的政体对应于更多的纠纷，不同 Ji 对应于一样的纠纷。另外，随 Ji 的增加，同时发生能为更小的双性人更快接近最大的价值，这被发现，并且能为更小的双性人到达更大的价值(i 轴不一致的磁场) 。我们能因此由增加纺纱纺纱相互作用 Ji，或由减少得到更多的纠纷一致磁场双性人和不一致的磁场双性人。
We study the thermal entanglement by means of concurrence in a two-qubit isotropic XY model in the presence of site-dependent external magnetic fields in arbitrary directions. We find that at a given temperature and magnetic field strength, the mirror symmetry of the two fields about the x-y plane is a necessary condition for maximum entanglement. However, if there is no constraint on the field strengths, then the necessary condition for maximum entanglement reduces to the configuration that the two fields are vertical, anti-parallel and with the same strength. We also investigate the anisotropic XY model and find that the above conclusion more or less holds.
Thermal entanglement is investigated in a two-qubit Heisenberg XY model with different inhomogeneous magnetic fields. It is found that the entanglement is dependent on the magnetic field, and the magnetic fields along different axes have different control efficiencies of entanglement. In addition, no matter in antiferromagnetic model or in ferromagnetic model, according to the relation between spin–spin coupling coefficients, the more efficient control parameters of entanglement can be obtained by adjusting the direction of external magnetic fields.