Effects of phase decoherence on the entanglement of a two-qubit anisotropic Heisenberg XYZ chain with an in-plane magnetic field
Effects of phase decoherence on the entanglement of a two-qubit anisotropic Heisenberg XYZ chain with an in-plane magnetic field
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DOI：
10.1140/epjd/e2007-00140-7
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
P. Yu;J. Cai;Jin‐Ming Liu;G. Shen
中科院分区：
文献类型：
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作者：
P. Yu;J. Cai;Jin‐Ming Liu;G. Shen
我们研究了在x-z平面上具有非均匀磁场的两量子比特各向异性Heisenberg模型的位相退相干对纠缠的影响。作为纠缠的一种度量，计算了系统的并发度。结果表明，当磁场沿z轴方向时，场的非均匀分量和均匀分量分别对纠缠没有影响。但当磁场不沿z轴方向时，均匀分量和非均匀分量都会产生退相干效应。结果表明，海森堡链在Z方向的各向异性对纠缠的影响与场的方向有关。此外，对于适当的一组参数ν，Δ，θ，γ、B和B，初始并发值越大，在系统的时间演化过程中表现出的值越高。
We investigate the phase decoherence effects on the entanglement of a two-qubit anisotropic Heisenbergmodel with a nonuniform magnetic field in the x–z-plane. As a measure of the entanglement, the concurrence of the system is calculated. It is shown that when the magnetic field is along the z-axis, the nonuniform and uniform components of the field have no influence on the entanglement for the cases ofand, respectively. But when the magnetic field is not along the z-axis, both the uniform and the nonuniform components of the field will introduce the decoherence effects. It is found that the effects of the Heisenberg chain's anisotropy in the Z-direction on the entanglement are dependent on the direction of the field. Moreover, the larger the initial concurrence is, the higher value it will exhibit during the time evolution of the system for a proper set of the parameters ν, Δ, θ, γ , B and b.