Normal Mode Splitting and Antibunching in Stokes and Anti-Stokes Processes in Cavity Optomechanics: Radiation Pressure Induced Four-Wave Mixing Cavity Optomechanics
Sumei Huang, G. S. Agarwal

TL;DR
This paper investigates strong coupling effects in cavity optomechanics, revealing normal-mode splitting, gain, lifetime splitting, and photon antibunching in Stokes and anti-Stokes processes, advancing understanding of nonlinear optomechanical interactions.
Contribution
It demonstrates the occurrence of normal-mode splitting, gain, and lifetime splitting in Stokes and anti-Stokes signals, and explores photon correlations including antibunching in a nanomechanical system.
Findings
Normal-mode splitting observed in Stokes and anti-Stokes signals
Gain reported for the Stokes signal
Photon antibunching and violation of Cauchy-Schwartz inequality at zero temperature
Abstract
We study Stokes and anti-Stokes processes in cavity optomechanics in the regime of strong coupling. The Stokes and anti-Stokes signals exhibit prominently the normal-mode splitting. We report gain for the Stokes signal. We also report lifetime splitting when the pump power is less than the critical power for normal-mode splitting. The nonlinear Stokes processes provide a useful method for studying strong coupling regime of cavity optomechanics. We also investigate the correlations between the Stokes and anti-Stokes photons produced spontaneously by the optomechanical system. At zero temperature, our nanomechanical system leads to the correlations between the spontaneously generated photons exhibiting photon antibunching and those violating the Cauchy-Schwartz inequality.
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