The entanglement of a two two-level atoms interacting with a cavity field in the presence of intensity-dependent coupling regime, atom-atom, dipole-dipole interactions and Kerr-like medium

In this paper, we present a general formalism for the theory of a two two-level atoms interacting with a single-mode cavity field. The intensity-dependent coupling regime, atom-atom interaction, dipole-dipole interaction (DDI), and Kerr-like medium are considered. Also, the multiphoton processes and the detuning parameters are taken into account. The wave function of the proposed model is obtained analytically when the atoms are initially prepared in their excited states and the field is in a coherent state. The temporal evolution of the von Neumann entropy and the average photon number in the cavity field in the absence and presence of intensity-dependent coupling regime are demonstrated. We focus on the effect of the nonlinear interaction of a Kerr-like medium and the DDI. The results illustrate that these parameters have a significant impact on the generation and preservation of the entanglement between atoms and the field. Also, there is a relationship between the collapse-revival phenomenon and entanglement, as we will see in detail.