Coherent states for nonlinear two-boson realization of the isotropic oscillator algebra on a sphere

Abstract

In this paper, we generalize Schwinger realization of the su(2) algebra to construct a two-mode realization for deformed su(2) algebra on a sphere. We obtain a nonlinear (f-deformed) Schwinger realization with a deformation function corresponding to the curvature of sphere that in the flat limit tends to unity. With the use of this nonlinear two-mode algebra, we construct the associated two-mode coherent states (CSs) on the sphere and investigate their quantum entanglement. We also compare the quantum statistical properties of the two modes of the constructed CSs, including anticorrelation and antibunching effects. Particularly, the influence of the curvature of the physical space on the nonclassical properties of two modes is clarified. © 2013 World Scientific Publishing Company.