Abstract
In a system of two two-level atoms with a cavity field, the dynamics of entropic uncertainty relations, nonlocality, entanglement, and the degree of mixedness are investigated. In addition to the dynamical map, the interaction between two two-level systems and the Fock state cavity field, the effects of various parameters, such as temperature dependence, Ising interaction, and dipole-dipole interaction are discussed. It is shown that Ising and dipole-dipole interactions promote entanglement and nonlocal correlations while lowering mixedness and entropy. In order to maintain optimal entanglement and nonlocal correlations, numerical values for improving the current cavity fields are also proposed. The cavity field exhibits both Markovian and non-Markovian behavior, depending on the type of interaction.