Even and odd nonlinear charge coherent states and their nonclassical properties

The (over)completeness of even and odd nonlinear charge coherent states is proved and their generation is explored. They are demonstrated to be generalized entangled nonlinear coherent states. A D-algebra realization of the SUf(1,1) generators is given in terms of them. They are shown to exhibit SUf(1,1) squeezing and two-mode f-antibunching for some particular types of f-nonlinearity, but neither one-mode nor two-mode f-squeezing. (paper)