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Journal of Physics A Mathematical and General

A generalized nonclassical state of the radiation field and some of its properties

Pinaki Roy, Barnana Roy

Published Nov 7, 1997• 15 citations
Publisher

Abstract

We construct a generalized nonclassical state of the quantized radiation field (which in different limits yields the vacuum state, the number state, the binomial state, the negative binomial state and the coherent state) and examine various nonclassical properties of this state.
DOI
10.1088/0305-4470/30/21/003

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理论物理通讯：英文版•Jan 1, 2001•0 citations
“Hypergeometric states,” which are a one-parameter generalization of binomial states of the single-mode quantized radiation field, are introduced and their nonclassical properties are investigated. Their limits to the binomial states and to the coherent and number states are studied. The ladder operator formulation of the hypergeometric states is found and the algebra involved turns out to be a one-parameter deformation of su(2) algebra. These states exhibit highly nonclassical properties, like sub-Poissonian character, antibunching, and squeezing effects. The quasiprobability distributions in phase space, namely the Q and the Wigner functions are studied in detail. These remarkable properties seem to suggest that the hypergeometric states deserve further attention from theoretical and applicational sides of quantum optics.
We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schrodinger cat states in a certain limit.The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras.It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.``