A report on the nonlinear squeezed states and their non-classical properties of a generalized isotonic oscillator

Abstract

We construct nonlinear squeezed states of a generalized isotonic oscillator potential. We demonstrate the non-existence of a dual counterpart of nonlinear squeezed states in this system. We investigate the statistical properties exhibited by the squeezed states, in particular Mandel's parameter, second-order correlation function, photon number distributions and parameter A3 in detail. We also examine the quadrature and amplitude-squared squeezing effects. Finally, we derive the expression for the s-parameterized quasi-probability distribution function of these states. All this information about the system is new to the literature.