The cooperative nonlinear scattering processes between two resonator modes stimulated by the excited atomic beam, ::: it is studied. It is demonstrated that these collective scattering phenomena between the Stokes and Anti-Stokes ::: resonator modes take place due to energy transfer between these fields. The quantum proprieties of Stokes and Anti- ::: Stokes fluctuations of the photon numbers have been found. The correlation functions between these fields are ::: expressed through the lasing parameters of the cavity. The experimental scheme of realization of such collective ::: amplification of Stokes (Anti-Stokes) of photon number is proposed.
We study the performance and limitations of a coherent interface between collective atomic states and single photons. A quantized spin-wave excitation of an atomic sample inside an optical resonator is prepared probabilistically, stored, and adiabatically converted on demand into a sub-Poissonian photonic excitation of the resonator mode. The measured peak single-quantum conversion efficiency of $\ensuremath{\chi}=0.84(11)$ and its dependence on various parameters are well described by a simple model of the mode geometry and multilevel atomic structure, pointing the way towards implementing high-performance stationary single-photon sources.
The antithesis of Specker's theorem states that every sequence eventually hounded away from each point of [0,1] is eventually bounded away from [0,1]. We show constructively (that is, with intuitionistic logic) that this is equivalent to a version of the fan theorem.