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 dual counterpart of nonlinear squeezed states in this system. We investigate statistical properties exhibited by the squeezed states, in particular Mandel's parameter, second-order correlation function, photon number distributions and parameter $A_3$ in detail. We also examine the quadrature and amplitude-squared squeezing effects. Finally, we derive expression for the $s$-parameterized quasi-probability distribution function of these states. All these information about the system are new to the literature.

Accepted for publication in J. Phys. A: Math. Theor

References in corpus (8)

• Nonlinear atom interferometer surpasses classical precision limit
• Quantum teleportation of entangled coherent states
• Temporally stable coherent states for infinite well and Pöschl-Teller potentials
• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method
• The Construction of the Dual Family of Gazeau-Klauder Coherent States via Temporally Stable Nonlinear Coherent States
• The generalized quantum isotonic oscillator
• On the non-classicality features of new classes of nonlinear coherent states
• Isospectral Potentials from Modified Factorization