The entanglement and quantum coherence for a symmetric three two-level atoms interacting with a single mode cavity field

Most of the previous studies on quantum entanglement dynamics are limited to two two-level atomic systems, but only partial solutions are known for detecting and quantifying entanglement in multipartite systems. In this work, we construct a broad framework for the theory of the interaction between a single-mode cavity field and three two-level atoms. Assuming the field is in a binomial state and the atoms are initially prepared in their excited states, we analytically determine the wave function of the suggested model. We examine the temporal evolution of linear entropy and coherence, and we analyze the dynamical behavior of the collapse and revival phenomena via the mean photon number. Additionally, we investigate in detail the impact of the detuning parameter on these phenomena. The results demonstrate that the detuning parameter plays a crucial role in the generation and preservation of entanglement between the atoms and the field. In addition, we find that the degree of entanglement and the collapse-revival phenomenon are related to each other, which will be discussed in depth.