Sub-Poissonian statistics, population inversion and entropy squeezing of two two-level atoms interacting with a single-mode binomial field: intensity-dependent coupling regime

In this paper, we study the interaction between two two-level atoms with a single-mode binomial field, using a generalization of Jaynes-Cummings model in the intensity dependent coupling regime. We obtain the explicit analytical form of the corresponding atom-field state, by choosing the initial field as a single-mode binomial state and a general superposition of atomic states for the two atoms, including Bell states. Then, after determining a particular nonlinearity function (i.e., nonlinearity associated with the center of mass motion of trapped ion in the framework of nonlinear coherent state) responsible for the atom-field coupling, we investigate the temporal behavior of a few nonclassicality features of the resultant atom-field system state in different situations of initial atomic state. To achieve this purpose, we pay attention to quantum statistics, population inversion and entropy squeezing, by which the nonclassicality of the considered atom-field state is well established.