In this study, an analytical solution for a novel intrinsic noise model represented by two coupled qubits inside a
cavity, the Su.1; 1/ and Su.2/ Lie group, is investigated. Each qubit interacts with a two-mode parametric amplifier
through a nondegenerate two-photon process when the two-mode system is initially in a superposition of a
generalized Barut–Girardello coherent state. The nonlinearity of the interaction and the initial two-mode fields
lead to the generation of different quantum correlations (QCs), which are measured by log-negativity, uncertaintyinduced
nonlocality, and local quantum uncertainty (LQU). The generatedQCof the interaction depends not only
on the two-qubit coupling but also on the intrinsic noise and the initial coherent intensity. Our results show that
the ability of the two-qubit coupling to protect and enhance the robustness and generation of the QCs depends
on the superposition and the coherent intensity of the initial Su.1; 1/ state. Furthermore, the sudden birth and
death of the log-negativity and the sudden variations of the LQU depend on the intrinsic noise and the two-qubit
coupling.