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

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

2009-07-05

arxiv.org/abs/0907.0835v1

J. Phys. A: Math. Theor. 41 (2008) 285305 (17pp)

Physics

Quantum Physics

19 pages, 10 figures

Scientific paper

10.1088/1751-8113/41/28/285305

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.

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