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理论物理通讯:英文版

Effects of Anisotropy on Entanglement in a Two-Qubit Heisenberg XYZ Chain with Intrinsic Decoherence

Xie, Lijun, Zhang, Deng-Yu, Tang, Shiqing, Xiao-Gui, Gao Gao, Feng

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

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。

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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。
考虑 decoherence 效果, two-qubit 的纠纷进化各向异性的 Heisenberg XYZ 链面对不同类的磁场被调查。同时发生的时间进化为起始的州的 cos | 被学习 01 +sin | 10 在零温度。纠纷上的不同类的磁场,各向异性的参数和 decoherence 的影响动态详细被探讨,并且稳定的状态的一个同时发生公式被发现。这被显示出纠纷突然的死亡(ESD ) 和纠纷突然的出生(ESB ) 与 decoherence 效果,和稳定的同时发生出现取决于联合力量的一致磁场 B,各向异性的参数和环境,它独立于不同起始的状态和不一致的磁场 b。
Taking the intrinsic decoherence effect into account, the entanglement of a two-qubit anisotropic Heisenberg XYZ chain in the presence of the Dzyaloshinski–Moriya (DM) anisotropic antisymetric interaction is investigated in this paper. Concurrence, the measurement of entanglement, is calculated. Compared with the anisotropic in XY plane, the DM interaction is another kind of anisotropic antisymmetric exchange interaction. It is shown that the intrinsic decoherence obviously suppresses the time evolution of the entanglement. The DM interaction only acts on the time evolution of the entanglement when the initial state is |ψ(0)⟩ = cosα|01⟩ + sinα|10⟩ and weakens the degree of entanglement. The anisotropic in XY plane merely impacts on the time evolution of the entanglement when the system is initially in a state |ψ(0)⟩ = cosα|00⟩ +sinα|11⟩. The sufficiently weak anisotropic in XY plane can effectively enhance the degree of entanglement.
Taking the intrinsic decoherence effect into account,the entanglement of a two-qubit anisotropic Heisenberg XYZ chain in the presence of the Dzyaloshinski-Moriya(DM)anisotropic antisymetric interaction is investigated in this paper.Concurrence,the measurement of entanglement,is calculated.Compared with the anisotropic in XY plane,the DM interaction is another kind of anisotropic antisymmetric exchange interaction.It is shown that the intrinsic decoherence obviously suppresses the time evolution of the entanglement.The DM interaction only acts on the time evolution of the entanglement when the initial state is |(?)(0)=cosα|01+sinα|10 and weakens the degree of entanglement.The anisotropic in XY plane merely impacts on the time evolution of the entanglement when the system is initially in a state |(?)(0)=cosα|00+sinα|11.The sufficiently weak anisotropic in XY plane can effectively enhance the degree of entanglement.
由于人口松驰考虑 decoherence 效果,我们在 Heisenberg XY 相互作用和题目为二 qubits 调查纠纷性质到一外部磁性删除。这被发现纠纷的现象象突然的出生(ESB ) 一样的突然的死亡(ESD ) 为特别起始的状态出现在进化过程期间。影响外部磁性删除并且 ESD 和 ESB 上的旋转环境详细被探讨。这被显示出同时发生,纠纷的一项措施,能被调节旋转链的参数控制例如各向异性的参数,外部磁性删除,并且有他们的环境的联合力量。特别地,我们接地一个批评 anisotropy 常数存在,在哪个上面当 ESD 出现时, ESB 消失。那件稳定的纠纷,独立于 qubits 的不同起始的状态,甚至面对 decoherence 发生,也是著名的。[从作者抽象]