In this paper, we study the dynamics of skew information correlations, beyond its
concurrence entanglement, between two coupled qubits interacting with containing
amplifier cavity fields. An analytical description has been obtained for the intrinsic
decoherence model when the cavity fields are initially in a superposition of generalized
Barut–Girardello coherent states. The concurrence and skew information quantifiers
present nonlocal correlations with different oscillatory behaviors, which can be controlled
by the two-qubit coupling and the initial cavity nonclassicality. The sudden
death–birth phenomenon is observed only in the concurrence entanglement behavior.
With the intrinsic decoherence, the stationary correlated two-qubit states can be
generated, which have different potential applications in quantum information. It is
found that the two-qubit coupling affects the generated nonlocal correlations (NLC)
as additional decoherence, reduces the generated nonlocal correlations, and accelerates
the stable correlations. The initial even-coherent nonclassicality enhances the nonlocal
correlations, which are more robust against the intrinsic decoherence.