Effects of Even and Odd Coherent States on the Evolution of the Two-photon Jaynes-Cummings model

We discuss the two-photon Jaynes-Cummings model prepared in even or odd coherent states in terms of its dynamical evolution and the statistical aspects of field, such as intensity-intensity correlation and squeezing. Time evolution of the quasiprobability function has also been investigated. This study reveals how the quantum interference present in the even and odd coherent states affects the nonlinear process of the two-photon transition.