Legendre多项式算符激发压缩真空态的非经典性质

Nonclassical properties of Legendre polynomial's photon added squeezing vacuum state

利用算符激发作用产生新的量子态的方法,将Legendre多项式算符作用在压缩真空态上,构建了Legendre多项式算符激发压缩真空态。采用数值计算方法,讨论了它的压缩效应,反聚束效应,亚泊松分布等非经典性质。研究结果表明:Legendre多项式算符激发压缩真空态呈现出压缩效应,但它的压缩效应比压缩真空态更弱;它还呈现出压缩真空态没有的反聚束效应和亚泊松分布性质,但它的反聚束效应随压缩参数增大而减弱;另一方面,随Legendre多项式阶数增大,它的压缩效应,反聚束效应,亚泊松分布均减弱。

Legendre polynomial′s photon added squeezing vacuum state is constructed by operation of Legendre polynomial′s photon added operator on a squeezing vacuum state.By the technique of integration within an ordered product of operators,its normalization coefficient is derived.Addition,we study its nonclassical properties by examining the quadrature squeezing,anti-bunching effect,and sub-poissonian statistical property.The influences of the squeezing parameter and the order number of Legendre polynomial on its nonclassical properties are discussed.Numerical results show:firstly,it displays the squeezing effect,but its squeezing effect is weaker than that of a squeezing vacuum;secondly,although the squeezing vacuum state has no the anti-bunching effect and the sub-poissonian statistical property,it exhibits the anti-bunching effect and the sub-poissonian statistical property;thirdly,as the squeezing parameter increases,its squeezing effect is strengthened,but its anti-bunching is weakened;fourthly,its squeezing effect,anti-bunching,and sub-poissonian statistical property are weakened with the increasing of the order number of Legendre polynomial.