Non-classical Properties of New Even And Odd Deformed Photon Added Nonlinear Coherent States

In this paper a new kind of even and odd deformed photon added nonlinear coherent states (CSs) will be introduced. Nonlinearity feature will be considered through a special potential function known as Poschl- Teller (P-T) potential in which in the case they lead to linear states. In addition for proving that these states are CSs positive definite measure has been specified. Finally statistical properties such as Mandel's Q parameter, second order correlation function and squeezing have been considered. Also beside the standard CSs, dual pair of the introduced states have been calculated due to the lack of the non-classical properties and this was the only motivation for going towards dual CSs .