摘要
基于两粒子相对坐标x^1-x^2与玻色湮灭算符之和a^1+a^2对易,借助IWOP技术构造了其共同本征态|β,x〉,发现该态既具有相干态的某些特征,又是一类纠缠态.通过对|β,x〉作Shmidit分解和单边积分,证明了其纠缠性以及与理想EPR纠缠态的关系——|β,x〉沿着β1轴叠加即可生成理想的EPR纠缠态.
Since the commutation relation [ x1 -x2, α1 ＋ α2 ] = 0, their common eigenvector ｜β,x〉 is constructed by using the technique of integration within an ordered product （IWOP） of operators. This state exhibits the properties of the coherent and entangled states. Its entangled properties and the relations with the EPR entangled state can be confirmed by Schmidt decomposition and the unilateral integral for ｜β, x） . The superposition of the states ｜β =β1 ＋ iβ2 ,x〉 alongβ1 axis yields the ideal twomode entangled state.
出处
《菏泽学院学报》
2009年第5期75-79,共5页
Journal of Heze University
基金
菏泽学院自然科学基金资助项目(XY09WL01)
关键词
粒子相对坐标
玻色湮灭算符
本征态
纠缠态
相干态
particles＇ relative coordination
boson annihilation operator
eigenstate
entangled state
coherent state
