On the interaction between two two-level atoms and a single-mode cavity field

In this paper, a general formalism of the theory of two two-level atoms with single mode of cavity field is discussed. The Hamiltonian model is via multiphoton processes and both of the detuning parameters and the nonlinearity are taken into account. The exact solution of this model when the atoms are initially prepared in their excited states and the field is in a coherent state is given. The temporal evolution of the atomic inversion, Poissonian statistics and quasi-probability Q-function is visualized. The results show that the presence of the second atom, the detuning and the nonlinear parameters play an important role in the evolution of these aspects.