Abstract
We consider a dissipative system of two qubits interacting with a cavity field through the degenerate 2-photon transitions. The cavity is initially prepared in a superposition of coherent states. The non-classical correlations (NCCs) are investigated. Their robustness is analyzed by using the Skew information and the Bell's non-locality. We show that the system presents stationary correlations and sudden birth entanglement. These phenomena depend crucially on the superposition of the coherent states, the dissipation rate and the dipole-dipole interaction parameters.