Single-photon nonlinearities in two-mode optomechanics

Author(s): P. Komar, S.D. Bennett, K. Stannigel, S.J.M. Habraken, P. Rabl, P. Zoller

Journal: Phys. Lett. A

Volume: 87

Page(s): 013839

Year: 2013

DOI Number: 10.1103/PhysRevA.87.013839

Link: Link to publication


We 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.


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