物理学报2009,Vol.58Issue(11):7479-7485,7.
具有Dzyaloshinskii-Moriya相互作用的三量子比特海森伯模型中的对纠缠
Pairwise entanglement in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction
摘要
Abstract
In this paper, we study the improvement and manipulation of pairwise thermal entanglement in one-dimentional three-qubit Heisenberg model, where Dzyaloshinskii-Moriya (DM) interaction is considered and concurrence is calculated to research this entanglements property. The results show that for XXX model, DM interaction can induce entanglement in the antiferromagnetic and ferromagnetic spin chains although the required critical values are different for these cases. For XXZ model, by introducing DM interaction D, antiferromagnetic spin chain has entanglement which is absent when D = 0, and in addition, for antiferromagnetic and ferromagnetic cases, DM interaction D and the anisotropy parameter △ have different effects on entanglement. As a result, the entanglement can be controlled and enhanced by choosing appropriate DM interaction and anisotropy parameter. Furthermore, we find that at the same temperature, no matter for antiferromagnetic or ferromagnetic spin chains, the critical DM interaction inducing entanglement should be greater in a three-qubit XXZ model than that in a two-qubit XXZ model.关键词
纠缠/XXX模型/XXZ模型/Dzyaloshinskii-Moriya相互作用Key words
entanglement/XXX model/XXZ model/Dzyaloshinskii-Moriya interaction分类
数理科学引用本文复制引用
王彦辉,夏云杰..具有Dzyaloshinskii-Moriya相互作用的三量子比特海森伯模型中的对纠缠[J].物理学报,2009,58(11):7479-7485,7.基金项目
国家自然科学基金(批准号:10774088),国家自然科学基金重点项目(批准号:10534030)资助的课题.Project supported by the National Natural Science Foundation of China (Grant No. 10774088), the State Key Program of National Natural Science of China (Grant No. 10534030). (批准号:10774088)