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Journal of Yangtze University

The Mean Number of Photos of Cavity Field in A Nonlinear Photonic Crystal

Yan Yan

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The mean number of photos of the cavity field in a strongly driven single-atom laser is studied within a nonlinear photonic crystal.When the cavity mode,the center peak resonant and the system are stable,it 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,the mean of photos of the cavity field increases with the driving field Rabi frequency.Finally,it reaches saturation.

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The mean number of photos of the cavity field in a strongly driven single-atom laser is studied within a nonlinear photonic crystal.When the cavity mode,the center peak resonant and the system are stable,it 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,the mean of photos of the cavity field increases with the driving field Rabi frequency.Finally,it reaches saturation.
We study spectral properties and photon statistical characteristics of a strongly driven two-level atom produced within a nonlinear photonic crystal. This study reveals that when a large discontinuity in the local photon density of states and the cavity field mode is resonant with the central component of the Mollow spectrum of atomic resonance fluorescence, there is squeezing of the cavity field below the quantum shot noise limit and the peak of the cavity field spectrum that is achieved in the nonlinear photonic crystal is higher than that in the linear photonic crystal. Furthermore, we can see the statistics of the photons emitted by the atom into the microcavity is sub-Poissonian and close to Poissonian when the frequency of the driving field is high.
We present a quantum theory of a coherently pumped two-level atom in a photonic crystal, coupled to both a multi-mode wave-guide channel and a high quality micro-cavity embedded within the photonic crystal. The cavity field characteristics are highly distinct from that of a corresponding high Q cavity in ordinary vacuum. If the cavity field mode is resonant with the central component of the Mollow spectrum of atomic resonance fluorescence, enhanced, inversionless, nearly coherent light generation occurs when the photon density of states jump between the Mollow spectral components is large. The spectrum of the cavity field is also investigated and showed to be narrower than in the case of a conventional cavity. Moreover, enhanced, non-classical light generation is possible, if the cavity field is tuned on resonance with a Mollow sideband.
The emission spectrum of a single-emitter laser in a photonic crystal is presented. We consider a coherently pumped two-level emitter strongly coupled to a high-quality microcavity engineered within a photonic crystal. We show that the cavity spectrum consists of both elastic and inelastic components, for which we derive analytical expressions. Our study reveals enhanced, spectrally narrower emission resulting from the radiation reservoir of the photonic crystal. The cavity field spectral characteristics are fundamentally distinct from those of a corresponding microcavity in ordinary vacuum. At high pump intensities and for large discontinuities in the photon density of states between Mollow spectral components of atomic resonance fluorescence, the emitted intensity originating from the elastic spectral component increases with the intensity of the pump and the elastic component dominates the spectrum. In the case of a vanishing photon density of states in the spectral range surrounding the lower Mollow sideband and no dipolar dephasing, the cavity spectrum is elastic.
We present a quantum theory of a coherently pumped two-level atom in a photonic band gap (PBG), coupled to both a multimode waveguide channel and a high-quality microcavity embedded within a photonic crystal. One mode is engineered to exhibit a sharp cutoff within the PBG, leading to 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. Another mode of the waveguide channel is used to propagate the pump beam. We derive analytical expressions for the optical amplitude, intensity, second-order correlation functions, and conjugate quadrature variances for the light emitted by the atom into the microcavity. The quantum degree of second-order coherence in the cavity field reveals enhanced, inversionless, nearly coherent light generation when the photon density of states jump between the Mollow spectral components is large. The cavity field characteristics are highly distinct from that of a corresponding high-QQQ cavity in ordinary vacuum. In the case of a vanishing photon density of states on the lower Mollow sideband and no dipolar dephasing, the emitted photon statistics is Poissonian, and the cavity field exhibits quadrature coherence.
We investigate the effects of sub-Poissonian photon statistics and photon antibunching in the light generation by a photonic-crystal one-atom laser. The physical system consists of a two-level light emitter strongly coupled to a high-quality microcavity engineered within a photonic crystal and coherently driven by a strong external laser field. This study reveals that the electromagnetic environment provided by the photonic crystal facilitates light generation characterized by pronounced sub-Poissonian photon statistics and photon antibunching, and strongly enhanced relative to that from a one-atom laser in a conventional optical cavity. The characteristics of the cavity photon statistics are fundamentally distinct from those of a corresponding microcavity in ordinary vacuum. For large discontinuities in the photon density of states between Mollow spectral components of atomic resonance fluorescence, in the good cavity regime, the photon statistics is sub-Poissonian, in contrast to the case of a conventional cavity where sub-Poissonian photon statistics is present only for a bad cavity. These results suggest the possibility of using a photonic-crystal one-atom laser as an efficient source of nonclassical light.
We investigate properties of a two-level atom coupled to a single cavity mode, and driven by a strong, in general off-resonance, external field. The cavity field is tuned to resonance with a Mollow sideband. We show that the steady-state atomic population may be highly (nearly totally) inverted, a phenomenon forbidden in semiclassical theory, and that a strong enhancement of the resonance fluorescence results. This system is suggested as an alternative approach to create the atomic inversion necessary for laser or maser generation without using additional atomic levels. We also investigate properties of the cavity field, derive an analytical expression for the photon number distribution in the good cavity or strong-coupling limit, and discuss the conditions under which this system acts as a single-atom dressed-state laser.