The exact wave function is found in the work for the two-atom models with nondegenerate two-photon interaction and nondegenerate raman interaction. The asymptotic solutions for system state vectors are obtained in the approximation of strong field for considered models for different initial atom states and coherent field input. The reduced entropy dynamics is described for various initial atomic states and coherent field input, some conclusions about atom-field entanglement are made. We also show the possibility for the system being initially in the pure nonentangled state to revive into this state during the evolution process for the two-atom model with nondegenerate two-photon interaction and we obtain the times of such revivals.
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