Fig. 6: Photon and phonon spectra of one-atom optomechanical microlaser.
From: Active optomechanics
a First-order correlation functions \({g}_{{{{{{\rm{photon}}}}}}}^{(1)}(\tau )\) of intracavity photons and \({g}_{{{{{{\rm{phonon}}}}}}}^{(1)}(\tau )\) of phonons with the atom–cavity detuning \(\Delta =0\). Here, \(\tau\) denotes with the time delay and \(\Gamma\) is the decay rate of phonons. b Dependence of the power spectral density \({S}_{{{{{{\rm{photon}}}}}}}(\omega )\) of photons on \(\Delta\). The mechanical oscillation frequency \(\Omega\) is chosen as the frequency unit. By comparison, the spectrum of the common one-atom microlaser with zero optomechanical constant \(\xi =0\) is also plotted. c Spectrum \({S}_{{{{{{\rm{phonon}}}}}}}(\omega )\) of phonons with \(\Delta =0\). d Dependence of the linewidth and shift of \({S}_{{{{{{\rm{phonon}}}}}}}(\omega )\) on \(\Delta\). Linewidth and shift are in units of the damping rate \(\Gamma\) of the mechanical oscillator. For all curves, the cavity \(Q\) factor is \({10}^{7}\) and the pump rate is set at \(R \sim 2\pi \times 0.35\) MHz.
