Spatial fluctuations in an optical parametric oscillator below threshold with an intracavity photonic crystal

摘要

We show how to control spatial quantum correlations in a multimode degenerateoptical parametric oscillator type I below threshold by introducing a spatiallyinhomogeneous medium, such as a photonic crystal, in the plane perpendicular tolight propagation. We obtain the analytical expressions for all thecorrelations in terms of the relevant parameters of the problem and study thenumber of photons, entanglement, squeezing, and twin beams. Consideringdifferent regimes and configurations we show the possibility to tune theinstability thresholds as well as the quantumness of correlations by breakingthe translational invariance of the system through a photonic crystalmodulation.