Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction

• Published in: Chinese physics B Vol. 19; no. 5; pp. 35 - 40
• Main Author: 陈涛 黄燕霞 单传家 李金星 刘继兵 刘堂昆
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.05.2010
• Subjects: Anisotropy; Chains; Entangled states; Entanglement; Evolution; 各向异性参数; 时间演化; 海森堡; 环境效应; 相互作用; 纠缠态; 量子比特
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/19/5/050302

This paper investigates the entanglement evolution of a two-qubit anisotropic Heisenberg XYZ chain in the presence of Dzyaloshinskii-Moriya interaction. The time evolution of the concurrence is studied for the initial pure entangled states cosθ｜00〉 ＋ sinθ ｜11〉 and cos Ф ｜01〉 ＋ sin Ф10〉 at zero temperature. The influences of Dzyaloshinskii Moriya interaction D, anisotropic parameter △ and environment coupling strength γ on entanglement evolution are analysed in detail. It is found that the effect of noisy environment obviously suppresses the entanglement evolution, and the Dzyaloshinskii-Moriya interaction D acts on the time evolution of entanglement only when the initial state is cos Ф ｜01〉 sinФ｜10〉. Finally, a formula of steady state concurrence is obtained, and it is shown that the stable concurrence, which is independent of different initial states and Dzyaloshinskii-Moriya interaction D, depends on the anisotropic parameter △ and the environment coupling strength.