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两体纯态系统的几何相、Berry相和纠缠度的关系研究
引用本文:杜永刚,薛康,郑海霞. 两体纯态系统的几何相、Berry相和纠缠度的关系研究[J]. 东北师大学报(自然科学版), 2007, 39(3): 41-45
作者姓名:杜永刚  薛康  郑海霞
作者单位:1. 中国石油大学(华东)物理学院,山东,东营,257061
2. 东北师范大学物理学院,吉林,长春,130024
基金项目:国家自然科学基金资助项目(305030000)
摘    要:在E.Sjoqvist工作的基础上,用新的方法求解处于不依赖于时间的恒定磁场中无相互作用的自旋1/2粒子对这一复合体系的几何相和纠缠度,重新得到了两者的关系,只有当体系的纠缠度为0时,复合体系的几何相才可以表达为两个子体系几何相之和的形式.还进一步研究了处于旋转磁场中的无相互作用的自旋1/2粒子对体系的Berry相和纠缠度,发现两者仍具有同样的关系.

关 键 词:几何相  Berry相  纠缠度
文章编号:1000-1832(2007)03-0041-05
修稿时间:2007-05-30

Geometric phase and Berry''''s phase for the entangled system of pure state with two particles
DU Yong-gang,XUE Kang,ZHENG Hai-xia. Geometric phase and Berry''''s phase for the entangled system of pure state with two particles[J]. Journal of Northeast Normal University (Natural Science Edition), 2007, 39(3): 41-45
Authors:DU Yong-gang  XUE Kang  ZHENG Hai-xia
Affiliation:1.School of Physics,China University of Petroleum,Dongying 257061,China;2.School of Physics,Northeast Normal University,Changchun 130024,China
Abstract:Above the work of E.Sjoqvist,the geometric phase and the entanglement of the system composed of a pair of noninteracting spin-1/ 2 particles pressing in an external time-independent magnetic field are considered using a new method.The relation between them is gained newly:only if the entanglement is zero will the geometric phase of the composite systems reduce to a sum of one-particle geometric phase.Further more,the Berry's phase and the entanglement of the system composed of a pair of noninteracting spin-1/2 particles pressing in a rotating magnetic field are studied.The same conclusion is gained.
Keywords:geometric phase  Berry's phase  entanglement
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