Abstract
In this article, we introduce an analytical description for the nonlinear off-resonance qutrit-cavity system through intensity-dependent nonlinear coupling under intrinsic decoherence. When the cavity is initially in coherent and even coherent states. The dynamics of the negativity entanglement, in the off-resonance qutrit-cavity system, is investigated under the physical parameters of the qutrit-cavity detuning, the intrinsic decoherence as well as the initial cavity coherent states. It is found that the ability of the off-resonance qutrit-cavity interaction to generate the entanglement, depends on the physical parameters. The high nonclassicality of the even coherent state can enhance the generated entanglement and its stability. For the intrinsic decoherence, the amount and the stability of the generated qutrit-cavity entanglement can be controlled by the coherent field intensity of the initial cavity states.