Abstract
In this paper, we have investigated an analytical solution for the quantized system of the interaction between asymmetric two two-level atoms and intensity-dependent coupling regime, including atom–atom interaction. In addition, we have studied the atomic inversion and the different types of the entanglement through several statistical aspects, such as the linear entropy, the von Neumann entropy, the concurrence and the negativity. By studying the influence of the coupling parameters, the detuning parameter, the binomial parameters, the Lamb–Dicke parameter and the initial state of the system, a number of phenomena have emerged such as damping, followed by entanglement sudden death in the concurrence and the negativity curves. Besides, we have compared between the dynamic nonlinear and linear properties of the system through long-lived quantum coherence in the von Neumann entropy curve and the revivals and collapses in the atomic population inversion curves. Our study opens up a wide range of large number of important applications for linear and nonlinear dynamical models.