Field Squeezed In Nonlinear Photonic-Crystal

A single-atom laser is one of the key systems to study quantum effects in the interaction of electromagnetic fields with matter. It is composed of one atom in an optical resonator. The primary obstacle in the realization of one-atom lasers is spontaneous emission. You can control spontaneous emission of the atom by modulating the photonic density of states of the photonic band-gap.When there is defect mode in the photonic band-gap, e.g. photonic band-gap microcavity or photonic band-gap wave-guide, we know this defect mode is a high-quality factor microcavity and large photonic density of states. Photonic band-gap has partially or fully nonlinear medium, it has been shown that intense process can occur in such structures built up from nonlinear materials. The overlap of these optical field and spatial phase determines the intensity of the nonlinear process and the properties obtained from nonlinear photonic band-gap.We study spectral properties and photon statistical characteristics of a strongly driven single-atom laser engineered within a nonlinear photonic crystal. This study reveals that when a large discontinuity in the local photon density of states near the atom and the cavity field mode is resonant with the central component of the Mollow spectrum of atomic resonance fluorescence, there are squeezing of the cavity field below the quantum shot noise limit and we find a linewidth narrowing below the quantum limit in the spectrum of the cavity field that is achieved only when the photonic crystal is linear. Furthermore, we can see the statistics of the photon emitted by the atom into the microcavity is sub-Poissonian when the frequency of the driving field is strong.