Quantum Signatures of the Optomechanical Instability

Details Quantum Signatures of the Optomechanical Instability Quantum Signatures of the Optomechanical Instability

2011-12-28

arxiv.org/abs/1112.6200v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages including 1 appendix. 6 Figures. Corrected

Scientific paper

In the past few years, coupling strengths between light and mechanical motion in optomechanical setups have improved by orders of magnitude. Here we show that, in the standard setup under continuous laser illumination, the steady state of the mechanical oscillator can develop a non-classical, strongly negative Wigner density if the optomechanical coupling is large at the single-photon level. Because of its robustness, such a Wigner density can be mapped using optical homodyne tomography. These features are observed near the onset of the instability towards self-induced oscillations. We show that there are also distinct signatures in the photon-photon correlation function $g^{(2)}(t)$ in that regime, including oscillations decaying on a time scale not only much longer than the optical cavity decay time, but even longer than the \emph{mechanical} decay time.

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