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多相互作用自旋链热态纠缠和量子隐形传态动力学。

Dynamics of the entanglement and teleportation of thermal state of a spin chain with multiple interactions.

机构信息

Mathematics Department, Faculty of Science, Al-Azhar University, 71524 Assiut, Egypt.

Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia.

出版信息

Chaos. 2019 Jan;29(1):013138. doi: 10.1063/1.5085784.

Abstract

We investigate the effect of Calogero-Moser (CM) type interactions on the thermal entanglement and teleportation in an anisotropic two-qubit Heisenberg XYZ system with Dzyaloshinskii-Moriya (D) interaction in the presence of the external magnetic field. In this regard, the system is designed and analytically solved. The final state density of the system is obtained, and the impact of the system parameters is investigated. The negativity is used to quantify the entanglement dynamics over the system. The generated entangled channels are examined to exchange the information between the system qubits using the standard teleportation protocol; then, the fidelity of the transmitted information is quantified. The effect of the system parameters (Dzyaloshinskii-Moriya, Spin-orbit coupling, CM type interaction, and magnetic field) in the dynamics of the entanglement and state transfer is investigated. Our results indicate that the strength coupling, Dzyaloshinskii-Moriya (D) interaction, and magnetic field have a great effect on the dynamics of the entanglement and, consequently, the quality of the generated channels to exchange the information. In addition, we observe that the entanglement of sudden death exists when the distance between the spins is increased.

摘要

我们研究了在存在外磁场的情况下,具有狄亚洛斯基-莫里亚(D)相互作用的各向异性双量子海森堡 XYZ 系统中,卡洛戈罗-莫泽(CM)型相互作用对热纠缠和量子隐形传态的影响。为此,设计并分析了解决方案。得到了系统的终态密度,并研究了系统参数的影响。利用负性来量化系统纠缠动力学。通过标准的隐形传态协议,研究了产生的纠缠通道在系统量子比特之间交换信息的情况;然后,量化了传输信息的保真度。研究了系统参数(Dzyaloshinskii-Moriya、自旋轨道耦合、CM 型相互作用和磁场)对纠缠和态传输动力学的影响。我们的结果表明,强度耦合、Dzyaloshinskii-Moriya(D)相互作用和磁场对纠缠动力学有很大的影响,从而对生成通道交换信息的质量有很大的影响。此外,我们观察到当自旋之间的距离增加时,纠缠会突然死亡。

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