Abstract
The atomic dynamical properties in the system with competing k-photon and l-photon transitions are studied fully by means of quantum theory. We discuss the influences of the mode–mode competition, the relative competing strengths of the atom and the two-mode field and the initial state of the system on the atomic dynamics. We show that the presence of the mode–mode competition can result in quite a periodical collapses-revivals of the atomic inversion and the increase of the initial photons of the system can lead to the collapse–revival phenomenon and prolong the revival time of the atomic inversion.
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