Dense coding, non-locality correlations and entanglement for two two-level atoms interacting resonantly with a single mode cavity field in intrinsic decoherence model

We focus on the effective generation of dynamical quantum correlations in a system consisting of a two two-level atoms interacting with a single-mode cavity field exposed to Ising interaction and dipole–dipole interaction (DDI) in the presence of intrinsic decoherence. By analyzing dense coding capacity (DCC), measurement-induced non-locality (MIN), and concurrence (C), we explore the dynamics of optimal dense coding, non-locality correlation, and entanglement, respectively. We investigate how Ising, dipole–dipole interactions, and the number of photons affect the behavior of these quantifiers in two different initial states: maximally and fully separable states. Our results demonstrate that we can improve all quantifiers by increasing the Ising interaction and decreasing the number of photons, whatever the initial state of the system (maximally or fully separable). Meanwhile, the impact of the DDI depends on the initial state of the system. Specifically, when the system is in an uncorrelated state, the DDI strongly stimulates the influence of intrinsic decoherence, thereby highlighting the occurrence of the entanglement sudden death phenomenon. However, a weak DDI interaction can significantly enhance quantum correlations and consequently give rise to the entanglement sudden. Additionally, other results will also be discussed.