We introduce an analytical description of an open bimodal cavity containing a3-type three-level atom.We explore
the effect of the atom–cavity nonlinear interaction, the cavity dissipation, and the initial coherent intensity on the
dynamics of the nonclassical correlations for a cavity prepared initially in a superposition of nonlinear coherent
states. The nonlinear interaction generates a regular entanglement between the subsystems, and populates the
energy atomic states.We show that the collapse phenomenon is a good indicator of the generated quantum coherence.
The growth of the entropy is used to explore the generated entanglement (if the dissipation is absent) and
mixedness (in the presence of the dissipation). It is found that the generation and the robustness of the quantum
synchronization and the correlations between the subsystems are very sensitive to the dissipation, the superposition,
and the coherent intensity of the initial Barut–Girardello coherent states.