Abstract
We introduce the `decay rate' terms into the density matrix equationsof an atom embedded in a photonic band gap (PBG) reservoir successfully.By utilizing the master equations, the probe absorption spectra and therefractivity properties of a three-level atom in the PBG reservoir areobtained. The interaction between the atom and the PBG reservoir as wellas the effects of the quantum interference on the absorption of the atomhas also been taken into account. It is interesting that two differenttypes of the anomalous dispersion relations of refractivity areexhibited in one dispersion line. The methodology used here can beapplied to theoretical investigation of quantum interference effects ofother atomic models embedded in a PBG reservoir.
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