New nonlinear coherent states associated to inverse bosonic and $f$-deformed ladder operators

TL;DR

This paper introduces a new formalism for constructing nonlinear coherent states linked to inverse bosonic and $f$-deformed ladder operators, exploring their nonclassical properties in quantum optics.

Contribution

It generalizes the nonlinear coherent states method to include inverse bosonic and $f$-deformed operators, expanding the framework for quantum state construction.

Findings

States exhibit sub-Poissonian statistics

States show quadrature squeezing

Application to physical systems demonstrates nonclassical features

Abstract

Using the {\it nonlinear coherent states method}, a formalism for the construction of the coherent states associated to {\it "inverse bosonic operators"} and their dual family has been proposed. Generalizing the approach, the "inverse of $f$-deformed ladder operators" corresponding to the nonlinear coherent states in the context of quantum optics and the associated coherent states have been introduced. Finally, after applying the proposal to a few known physical systems, particular nonclassical features as sub-Poissonian statistics and the squeezing of the quadratures of the radiation field corresponding to the introduced states have been investigated.