In this paper, we investigate the interaction of a three-level system with a multimode field in the state of a two-mode squeezed vacuum using a new method, which implies a replacement of the multimode field by a small number of collective modes whose frequencies and initial states are considered as functions of a random variable. Resonance interaction of an atom with the field is shown to result in the disappearance of two-mode squeezing and in an increase in the coherence time of the field.