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理论物理通讯：英文版

Effects of Different Spin-Spin Couplings and Magnetic Fields on Thermal Entanglement in Heisenberg XYZ Chain

李大创, 曹卓良

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

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。

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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。
The effects of spin-spin interaction on thermal entanglement of a two-qubit Heisenberg XYZ model with different inhomogeneous magnetic fields are investigated. It is shown that the entanglement is dependent on the spin-spin interaction and the inhomogeneous magnetic fields. The larger the J i (i-axis spin-spin interaction), the higher critical value the B i (i-axis uniform magnetic field) has. Moreover, in the weak-field regime, the larger J i corresponds to more entanglement, while in the strong-field regime, different J i correspond to the same entanglement. In addition, it is found that with the increase of J i , the concurrence can approach the maximum value more rapidly for the smaller B i , and can reach a larger value for the smaller b i (i-axis nonuniform magnetic field). So we can get more entanglement by increasing the spin-spin interaction J i , or by decreasing the uniform magnetic field B i and the nonuniform magnetic field b i .
考虑内在的 decoherence 效果， two-qubit 的纠纷各向异性的 Heisenberg XYZ 链面对 Dzyaloshinski Moriya (DM ) ，各向异性的 antisymetric 相互作用在这篇论文被调查。同时发生，纠纷的测量，被计算。与相比在 XY 飞机各向异性， DM 相互作用是另一种各向异性的反对称的交换相互作用。内在的 decoherence 显然压制纠纷的时间进化，这被显示出。当起始的状态是 |ψ (0 )= cosα|01 + sinα|10 并且削弱纠纷的度时， DM 相互作用仅仅对纠纷的时间进化起作用。在当系统开始在州的 |ψ (0 ) 时，飞机仅仅在纠纷的时间进化上影响的 XY 各向异性 = cosα|00 +sin α|11。足够地弱在飞机能有效地提高的 XY 各向异性纠纷的度。