In this paper we investigate the properties of a four-level atomic sys
tem interacting with two modes of the electromagnetic field in a cavit
y. By linearization of the Hamiltonian we show that the corresponding,
mathematical model is exactly solvable. To obtain simpler effective H
amiltonians the method of multiple scales is applied. It is shown that
under some special values of the detunings and coupling constants,exa
ctly predictable collapses and revivals in the atomic populations appe
ar. Also, due to the specific interactions of the atom with the cavity
modes and the ensuing measurement of energy or angular momentum and e
nergy, two-mode Schrodinger-cat states arise in the cavity. Finally, t
he stabilization and trapping properties of the system are demonstrate
d in a lossy cavity within the Wiger-Weisskopf approximation. The exis
tence of stationary states is shown and it is also shown that interfer
ence effects can cause cancellation of one line in both transmitted li
ght and spontaneous emission spectra.