The intrinsic decoherence effect for two qubits interacting with a coherent field, under the dipoledipole
interaction and two-photon resonance, is analytically described. We investigate
numerically the population inversion and the quantum coherence. The results show that the
generated mixture entropy and the entanglement negativity, can be enhanced and protected by
the dipole-dipole interaction and by reducing the initial coherent field intensity. In particular, we
find that, the collapses and revivals of the population inversion present high sensitivity to these
physical parameters. The nonlinearity of the two-photon processes leads to a generation of a
strong two-qubit entanglement. This generated entanglement depends on the initial coherent field
intensity, the dipole-dipole interaction and the intrinsic decoherence.