Temporal Dynamics and Nonclassical Photon Statistics of Quadratically Coupled Optomechanical Systems

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Singh S. K., Muniandy S. V.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.55, no.1, pp.287-301, 2016 (SCI-Expanded) identifier identifier


Quantum optomechanical system serves as an interface for coupling between photons and phonons due to mechanical oscillations. We used the Heisenberg-Langevin approach under Markovian white noise approximation to study a quadratically coupled optomechanical system which contains a thin dielectric membrane quadratically coupled to the cavity field. A decorrelation method is employed to solve for a larger number of coupled equations. Transient mean numbers of cavity photons and phonons that provide dynamical behaviour are computed for different coupling regime. We have also obtained the two-boson second-order correlation functions for the cavity field, membrane oscillator and their cross correlations that provide nonclassical properties governed by quadratic optomechanical system.