非马尔科夫环境中海森堡自旋链的纠缠动力学  

Entanglement dynamics of Heisenberg spin chains in Non-Markovian environments

作　　者：唐诗生 艾合买提·阿不力孜[1] TANG Shisheng;Ahmat·Abliz(School of Physics and Electronic Engineering,Xinjiang Normal University,Urumchi 830054,China)

机构地区：[1]新疆师范大学物理与电子工程学院,乌鲁木齐830054

出　　处：《激光杂志》2022年第1期52-57,共6页Laser Journal

基　　金：国家自然科学基金(No.11864042)。

摘　　要：利用Diosi、Gisin提出的非马尔科夫量子态扩散方法,精确地模拟了在余弦磁场与Dzyaloshinskii-Moriya(DM)相互作用时,处于非马尔科夫环境中的两比特各向异性海森堡XYZ模型纠缠动力学的演化过程。采用最大纠缠态1φ>=1/√2(100>+111>)作为系统所处的初始态,详细地讨论了不同的环境关联系数γ、两比特间的自旋耦合系数J和J;、余弦磁场强度B和DM相互作用D;等参数在海森堡系统纠缠动力学演化中的作用。研究发现非马尔科夫特性能显著地增加系统的纠缠特性,较大的自旋耦合系数J与磁场强度B以及较小的耦合系数J;、XY面上的各向异性参数β与DM相互作用D;能显著地增加系统的纠缠特性。通过合理地调控这些参数,能够使系统保持长时间的纠缠状态,从而提高了量子计算器的计算能力与量子通讯的质量。In this paper uses the Non-Markovian quantum state diffusion method proposed by Diosi and Gisin to accurately simulate the evolution of entanglement dynamics of two-bit’s anisotropic Heisenberg XYZ model in Non-Markovian environment when cosine magnetic field and Dzyaloshinski-Moriya(DM) are acting. By using the maximum entangled state 1φ>=1/√2(100>+111>) as the initial state of the system, the role of different parameters such as environmental correlation coefficientsγ, the spin coupling coefficientsJandJ;between two bits, cosine magnetic field strength B and DM interaction D;in evolution of entanglement dynamics in Heisenberg systems are discussed in detail. It is found that the Non-Markovian environment can significantly increase the entanglement characteristics of the system. The large spin coupling coefficient Jand the magnetic field strength B and the smaller coupling coefficientJ;, the anisotropic parameters βon the XY surface and the DM interaction D;can significantly increase the entanglement characteristics of the system. By reasonably regulating these parameters, the system maintains the entangled state for a long time, thus improving the ability of quantum computing with the quality of quantum communication.

关 键 词：非马尔科夫量子态扩散方法 量子纠缠动力学 自旋-轨道相互作用 

分 类 号：O431.2[机械工程—光学工程]