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We consider ultracold atoms in a far detuned optical lattice orientatedacross a high-Q optical resonator. Applying an external driving laser to theatoms, which is red detuned from the cavity mode by one vibrational quantum,induces cavity-enhanced sideband cooling. For a dense and cold enough atomicensemble we predict an oscillation threshold for optical Raman sideband lasingconcurrent with coherent matter-wave amplification. Above this oscillationthreshold photons and atoms in the lowest band are dominantly created pairwisevia stimulated emission with a strong suppression of competing spontaneousprocesses. In close analogy to a nondegenerate parametric oscillator we findsub-Poissonian photon statistics and almost perfect nonclassical atom-photonnumber correlations. Injecting atoms in higher vibrational bands via tunnelingor incoherent scattering then leads to continuous, simultaneous generation of acoherent atom beam and laser light with nonclassical atom-field correlations.

Twin stimulated amplification of light and matter waves in an atom-photon pair laser