Abstract
The quantum electrodynamics of a single two-level atom placed within a frequency dispersive medium whose polariton spectrum has a gap due to photon coupling to a medium excitation (exciton, optical phonon, etc.) is studied. If the atomic resonance frequency lies near the gap, the spectrum of the system is shown to contain a novel polariton-atom bound state with an eigenfrequency lying within the gap. The radiation and medium polarization of the bound state are localized in the vicinity of the atom. A significant suppression of spontaneous emission due to the bound state is predicted.
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