Dicke and Fano effects in single photon transport

The single photon transport through a one dimensional array of cavities is studied theoretically. Analytic expressions of the reflection and transmission are given. The transmission shows an energy spectrum with forbidden and allowed bands that depend on the detuning parameter of the system. We show that the allowed mini band is formed due to the indirect coupling between the atoms in each cavity. In addition, the band edges can be controlled by the degree of detuning of the level of the atoms. We discuss the analogy between this phenomenon with the Fano and Dicke effects.