Shelving-style QND phonon-number detection in quantum optomechanics

Abstract

We propose a new method for optomechanical quantum non-demolition detection of phonon number, based on a 'shelving' style measurement. The scheme uses a two-mode optomechanical system where the frequency splitting of the two photonic modes is near-resonant with the mechanical frequency. The combination of a strong optical drive and the underlying nonlinear optomechanical interaction gives rise to spin-like dynamics which facilitate the measurement. This approach allows phonon number measurement to be accomplished parametrically faster than in other schemes which are restricted to weak driving.