Entanglement in a general formalism of a V -type three-level atom interacting with a correlated two-mode cavity field in the presence of nonlinearities

We consider a V-configuration three-level atom interacting with two modes of light in a cavity with arbitrary nonlinearities of both the fields and the intensity-dependent atom?Cfield coupling. We assume a factorized initial-density operator, with the privileged field modes being in a pair-coherent state. We analyze the effects of the mean photon number, detuning, Kerr-like medium, and the intensitydependent coupling functional on the entropy.