The exact representation of the atomic inversion in the Jaynes-Cummings model
as an integral over the Hankel contour is used. For a field in a binomial
state, the integral is evaluated using the saddle point method. Simple
approximate analytical expressions for collapse and revivals are obtained.Comment: 5 pages, 1 figures. arXiv admin note: substantial text overlap with
arXiv:2307.0783