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In this paper, a model by which we study the interaction between a motionalthree-level atom and two-mode field injected simultaneously in a bichromaticcavity is considered; the three-level atom is assumed to be in a $\Lambda$-typeconfiguration. As a result, the atom-field and the field-field interaction(parametric down conversion) will be appeared. It is shown that, by applying acanonical transformation, the introduced model can be reduced to a well-knownform of the generalized Jaynes-Cummings model. Under particular initialconditions, which may be prepared for the atom and the field, the timeevolution of state vector of the entire system is analytically evaluated. Then,the dynamics of atom by considering `atomic population inversion' and twodifferent measures of entanglement, i.e., `von Neumann entropy' and`idempotency defect' is discussed, in detail. It is deduced from the numericalresults that, the duration and the maximum amount of the considered physicalquantities can be suitably tuned by selecting the proper field-mode structureparameter $p$ and the detuning parameters.

Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion