Komar, PeterBennett, StevenStannigel, K.Habraken, S.Rabl, P.Zoller, P.Lukin, Mikhail2014-06-102013Kómár, P., S. Bennett, K. Stannigel, S. Habraken, P. Rabl, P. Zoller, and M. Lukin. 2013. “Single-Photon Nonlinearities in Two-Mode Optomechanics.” Physical Review A 87 (1) (January).1050-2947http://nrs.harvard.edu/urn-3:HUL.InstRepos:12286875We present a detailed theoretical analysis of a weakly driven, multimode optomechanical system, in which two optical modes are strongly and near-resonantly coupled to a single mechanical mode via a three-wave mixing interaction. We calculate one- and two-time intensity correlations of the two optical fields and compare them to analogous correlations in atom-cavity systems. Nonclassical photon correlations arise when the optomechanical coupling g exceeds the cavity decay rate κ, and we discuss signatures of one- and two-photon resonances as well as quantum interference. We also find a long-lived correlation that decays slowly with the mechanical decay rate γ, reflecting the heralded preparation of a single-phonon state after detection of a photon. Our results provide insight into the quantum regime of multimode optomechanics, with potential applications for quantum information processing with photons and phonons.en-USJournal Article2014-06-1010.1103/PhysRevA.87.013839