基于双模相干-纠缠态表象的算符恒等式构造法

Deriving operator identities by two-mode coherent-entangled state representation

利用最近引进的相干-纠缠态|x,α〉表象和有序算符内的积分技术,给出了关于双模光场正交分量(X1+X2)/2^(1/2)和参数化的正交分量(μX1+νX2)/λ的函数的若干正规乘积展开式,这对于研究场的高阶压缩行为和构建广义压缩态是有用的.

On the basis of the new introduced two-mode coherent entangled state representation and the technique of integration within an ordered product of operators,we derived some operator identities of the operator functions about the quadrature of two-mode optical field,such as（X1＋X2）/√2 and（μX1＋νX2）/λ,which should be helpful to further studying the high order squeezing properties of optical field and to constructing some generalized-squeezed states.