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Chinese Physics Letters

Sudden Death, Birth and Stable Entanglement in a Two-Qubit Heisenberg XY Spin Chain

单传家, 程维文, 刘堂昆, 刘继兵, 魏华

Published Jan 1, 2008• 0 citations

Abstract

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]

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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]

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。

Taking the decoherence effect due to population relaxation into account, we investigate the entanglement properties for two qubits in the Heisenberg XY interaction and subject to an external magnetic Geld. It is found that the phenomenon of entanglement sudden death (ESD) as well as sudden birth (ESB) appear during the evolution process for particular initial states. The influence of the external magnetic Geld and the spin environment on ESD and ESB are addressed in detail. It is shown that the concurrence, a measure of entanglement, can be controlled by tuning the parameters of the spin chain, such as the anisotropic parameter, external magnetic Geld, and the coupling strength with their environment. In particular, we Gnd that a critical anisotropy constant exists, above which ESB vanishes while ESD appears. It is also notable that stable entanglement, which is independent of different initial states of the qubits, occurs even in the presence of decoherence.

量关联由量不一致(QD ) 测量了，导致测量的距离(中间) ，并且在 two-qubit Heisenberg XY 旋转链的量不一致(GMQD ) 的几何措施被调查。DM 相互作用的效果并且在三关联上各向异性被考虑。为 two-qubit 状态的各种各样的关联措施的特征被比较。增加的 Dz 增加 QD，中间并且 GMQD 单调地当时增加的 anisotropy 增加和减少 QD 和 GMQD。三量关联在很高的温度总是是存在的。中间总是比 QD 大，但是在 QD 和 GMQD 之间没有明确的订。

Taking the decoherence effect into account, the entanglement evolution of a two-qubit anisotropic Heisenberg XYZ chain in the presence of inhomogeneous magnetic field is investigated. The time evolution of concurrence is studied for the initial state cos θ |01⟩ +sin θ|10⟩ at zero temperature. The influences of inhomogeneous magnetic field, anisotropic parameter and decoherence on entanglement dynamic are addressed in detail, and a concurrence formula of the steady state is found. It is shown that the entanglement sudden death (ESD) and entanglement sudden birth (ESB) appear with the decoherence effect, and the stable concurrence depends on the uniform magnetic field B , anisotropic parameter Δ and environment coupling strength γ, which is independent of different initial states and nonuniform magnetic field b.