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Entangled state, as an essential tool in quantum information processing, maybe generated through the interaction between light and matter in cavity quantumelectrodynamics. In this paper, we study the interaction between two two-levelatoms and a two-mode field in an optical cavity enclosed by a medium with Kerrnonlinearity in the presence of detuning parameter and Stark effect. It isassumed that atom-field coupling and third-order susceptibility of the Kerrmedium depend on the intensity of light. In order to investigate the dynamicsof the introduced system, we obtain the exact analytical form of the statevector of the considered atom-field system under initial conditions which maybe prepared for the atoms (in a coherent superposition of their ground andupper states) and the fields (in standard coherent state). Then, in order toevaluate the degree of entanglement between subsystems, we investigate thedynamics of entanglement through the well-known criteria such as von Neumannreduced entropy, entanglement of formation and negativity. Finally, we analyzethe influences of Stark shift, deformed Kerr medium, intensity-dependentcoupling and also detuning parameter on the above-mentioned measures, indetail. Numerical results show that the amount of entanglement betweendifferent subsystems can be controlled by choosing the evolved parameters,appropriately.

Entanglement analysis of two-atom nonlinear JCM with nondegenerate two-photon transition, Kerr nonlinearity and two-mode Stark shift