Abstract
We study the propagation of a quantum probe light in an ensemble of tripodlevel atoms when the atoms are coupled to two other classical controlfields. First we calculate the dispersion properties, such as susceptibilityand group velocity, of the probe light within such an atomic medium underthe case of three-photon resonance via the dynamical algebra method ofcollective atomic excitations. Then we calculate the dispersionof the probe light in the case that two classical controlfields have the different detunings to the relative atomic transitions.Our results show that in both casesthe phenomenon of electromagnetically induced transparency can occur.Especially under the second case, we can find two transparency windows forthe probe light.
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