Transparency induced by the quantum interference of a six-level atom in photonic crystals with defect modes

The absorption-dispersion spectra of a six-level atom embedded in double-band photonic crystals are investigated. It is shown that if there is no defect mode in the photonic band gap, there are three types of transparency windows appear in the absorption-dispersion spectra. If a defect mode is introduced into the photonic band gap, we found some additional transparency windows in the absorption-dispersion spectra. One type of them appears as long as the defect mode exists, but the others appear only when the quantum interference occurs. The transparency windows can be changed by varying the parameters of the defect mode.