Generation of Even and Odd Coherent States in the Intensity Dependent Jaynes - Cummings Model

We study the evolution of the wavefunction in the intensity dependent Jaynes-Cummings model. It is shown that apart from the periodic revivals indicated by the dynamics of inversion, half-time revivals of the wavefunction take place in the limit of ($) over bar n much greater than 1. The decoupled atomic state is a superposition of the upper and lower levels and is independent of the initial atomic condition. The decoupled field state is an even or odd coherent state with a spiked distribution function, depending on the initial atomic state.