Fluorescence Spectra of a Two-Level Atom Embedded in a Three-Dimensional Photonic Crystal

Steady-state fluorescence spectra of a two-level atom embedded in a three-dimensional photonic bandgap crystal and driven by a monochromatic classical electrical field is calculated theoretically for the first time as we know. The non-Markovian noises caused by the non-uniform distribution of photon density of states near the photonic bandgap are handled by a new approach in which the Liouville operator expansion is utilized to linearize the generalized optical Bloch equations. The fluorescence spectra are then directly solved by the linearized Bloch equations in the frequency domain. We find that if the atomic energy level is far from the bandgap, fluorescence spectra with Mollow's triplets are observed. However, when the atomic energy level is near the bandgap, the relative magnitude and the number of the fluorescence peaks are found to be varied according to the wavelength offset.