Superposition of two nonlinear coherent states $\frac{\pi }{2}$ out of phase and their nonclassical properties

Abstract

Considering the concept of "{\it nonlinear coherent states}", we will study the interference effects by introducing the {\it "superposition of two classes of nonlinear coherent states"} which are $\frac{\pi }{2}$ out of phase. The formalism has then been applied to a few physical systems as "harmonious states", "SU(1,1) coherent states" and "the center of mass motion of trapped ion". Finally, the nonclassical properties such as sub-Poissonian statistics, quadrature squeezing, amplitude-squared squeezing and Wigner distribution function of the superposed states have been investigated, numerically. Especially, as we will observe the Wigner functions of the superposed states take negative values in phase space, while their original components do not.

11 pages, 27 figures, Accepeted for Publication in Optics Communications 2009

References in corpus (1)

• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method

Cited by in corpus (4)

• On the non-classicality features of new classes of nonlinear coherent states
• A theoretical scheme for generation of Gazeau-Klauder coherent states via intensity-dependent degenerate Raman interaction
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Superpositions of the dual family of nonlinear coherent states and their non-classical properties