超几何态和负超几何态的相位性质
Phase properties of hypergeometric states and negative hypergeometric states
摘要：
我们证明了最近引入的三个量子态（P $\acute{o}$ lya态、与Hahn多项式相关的广义非经典态和负超几何态）是本质相同的，它们是介于二项式态和负二项式态之间的中间态.利用厄米泰相位算符方法，详细研究了超几何态和负超几何态的相位性质。我们发现超几何态的相位概率分布的峰数为1，负超几何态的相位概率分布的峰数为$M$。
英文摘要：
We show that the three quantum states (P$\acute{o}$lya states, the generalized non-classical states related to Hahn polynomials and negative hypergeometric states) introduced recently as intermediates states which interpolate between the binomial states and negative binomial states are essentially identical. By using the Hermitial-phase-operator formalism, the phase properties of the hypergeometric states and negative hypergeometric states are studied in detail. We find that the number of peaks of phase probability distribution is one for the hypergeometric states and $M$ for the negative hypergeometric states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
