Quantum properties of the binomial state field interacting with a two-level atom

By the method of coherent-state orthogonalization expansion, the atomic inversion and the anti-bunching effect in a two-level atomic system interacting with binomial state field are studied under the Jaynes-Cummings model without rotating wave approximation. The influence of the parameter and the detuning on the anti-bunching effect are discussed, and the anti-bunching effect is also discussed under the conditions of strong coupling. Our studies show that the second order coherence degrees are quite different between the situations of with and without-rotating wave approximation. For the latter when the detuning increases, the duration of the bunching effect increases at the beginning and then decreases, and finally the light field displays anti-bunching effect completely.