基于■_1-■_2与a_1+a_2共同本征态的相干纠缠态表象的构建及性质

Coherent entangled state representation for the common eigenvector of ■_1-■_2 and a_1+a_2 and its characteristics

利用有序算符乘积内的积分技术(IWOP),建立了一种称之为相干纠缠态的两粒子体系的新表象,研究了这种新表象的性质,从理论上探讨了这种相干纠缠态的产生方法.结果表明:本文建立的这种■1-■2与a1+a2的共同本征态|p,β〉,既具有相干态的特性,又体现了纠缠态的特征,具有超完备性,完全可以作为一个表象使用.物理上可以用光分束器来实现p,β〉,让分束器的两个输入端分别输入理想单模压缩态|p=0〉2=exp[21a2+2]|0〉2和真空态0〉1,再经过对激光场一定的调制作用即可得到|p,β〉态.

The new two mode coherent entangled state representation ｜p,β〉is proposed by the technique of integration within an ordered product of operators. Its characteristics and mechanism are analysed. The results show that, the common eigenvector ｜p,β〉 of p1 -p2 and a1 ＋ a2 exhibits both the characteristics of the coherent state and entangled state. The ｜ p,β〉 makes up a new quantum mechanical representation and possesses the completeness relation. The ideal single-mode squeezed state ｜p=0〉2=exp[21a2＋2]｜0〉2 and the vacuum state ｜0〉1 overlapping on a beam splitter may produce the coherent entangled state ｜p,β〉 at the output by the modulation of the laser field.