Some non-classical properties of a class of new nonlinear coherent states

Abstract

Some of the properties of a nonlinear coherent state associated with the centre of mass motion of trapped atoms are considered. Especially the autocorrelation function, motional quanta number distribution, the phase properties, the Husimi–Kano Q function and the Wigner–Moyal W function of this nonlinear coherent state are discussed. Jumps in the motional quanta distribution function are reported depending on the dependence on the Lamb–Dicke parameters.

Acknowledgment

The authors wish to thank the referee for his comments that resulted in improving the paper in different aspects.