Phase properties of hypergeometric states and negative hypergeometric states

摘要

We show that the three quantum states (Polya states, the generalized non-classical states related to Hahn polynomials and negative hypergeometric states) introduced recently as intermediate states which interpolate between the binomial states and negative binomial states are essentially identical. By using the Hermitian-phase-operator formalism, the phase properties of the hypergeometric states and negative hypergeometric states are studied in detail. We find that the phase probability distribution exhibits one peak for the hypergeometric states and multiple peaks for the negative hypergeometric states.