Generalized coherent state for bosonic realization of SU(2)Lie algebra

Abstract

We have investigated the statistical properties of fields in the SU(2) generalized coherent state built on the bosonic (Schwinger) representation of the generators of SU(2) Lie algebra. We have shown that there are sub-Poissonian photon statistics as well as anticorrelations. Schemes for the generation of the states under consideration are discussed. We show that in the relevant processes either fields that are highly sub-Poissonian can be generated or a field in one mode with sub-Poissonian statistics can be transformed into another field that also has sub-Poissonian statistics.