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

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.

19 pages, 10 figures

References in corpus (1)

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

Cited by in corpus (2)

• Number-phase entropic squeezing and nonclassical properties of a three-level atom interacting with a two-mode field: Intensity-dependent coupling, deformed Kerr medium and detuning effects
• Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation