Nonclassicality of New Class of States Produced by Superposition of Two Nonlinear Squeezed States with Respective Phase φ

Abstract

In this paper, we consider two classes of nonlinear squeezed states: squeezed vacuum and squeezed one-photon states, which according to their generation processes, essentially include respectively even and odd bases of Fock space. Then, we produce their general superposition with respective phase φ which consists of all bases of Fock space. As a physical realization of the presented approach, we will use the q -deformation nonlinearity function to produce the corresponding nonlinear squeezed states and their superposition. In the continuation, due to extensive interest in nonclassicality features, we discuss about their main nonclassical properties such as sub-Poissonian statistics, normal and amplitude squared squeezing, number and phase squeezing and Husimi quasi-probability function of the obtained states and compare with those of the original constituent components. Meanwhile, we also pay attention to linear squeezed states (vacuum and one-photon) and particularly their superposition, too. Accordingly, the nonclassicality features of the introduced states are evidently established. At last, simple schemes for the generation of such states are presented.