We study the dynamics of the intrinsic noise (IN) model of a three-level atom (qutrit) in V-configuration. The qutrit is inside an open cavity with a Kerr-like medium. The quantifiers of the atomic population, entanglement and mixedness are evaluated under the physical parameters of the photon multiplicity, IN and the nonlinearity of both the unitary interaction and the Kerr-like medium. It is found that the generated entanglement and mixedness may be enhanced by filling the cavity with a nonlinear medium.
The transfer of the energy between the two upper states and the lower state are very sensitive to the physical parameters. The entanglement and mixedness depend on the initial coherent intensity, the IN and the Kerr-like medium.