DYNAMICS OF THE 4-LEVEL LAMBDA-SYSTEM IN A 2-MODE CAVITY

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.