shown in Fig. \[figureFive\](b), for the high $Q_o$ and $Q_m$ values, the nonlinear signal can exceed the electronic noise (red dashed line) of a Newport 1811 photoreceiver (NEP = 2.5 pW/Hz) and the optical shot noise (black dashed line) by over 30 dBm/$\sqrt{\text{Hz}}$.

The importance of increasing $L$ can be seen from the spectrographs in Figs.  \[figureFive\](a,b), whose contours indicate that the frequency range where the signal exceeds the noise sources becomes larger as $L$ increases. This is a result of the increase in thermal occupancy (due to decreasing $\omega_m$) and increase in $g^{(2)}$ of the device with increasing $L$. The impact of reducing mechanical and optical dissipation is illustrated by Fig. \[figureFive\](c), which shows how the signal strength at $L$ = 50 $\mu$m and $\omega/\omega_m$ = 2 depends on $Q_o$ ranging over $10^3-10^5$ and $Q_m$ over $10^2-10^6$. At the maximum of these values, the signal strength reaches $\sim-35$ dBm/$\sqrt{\text{Hz}}$, approximately 50 dBm/$\sqrt{\text{Hz}}$ over the predicted system noise levels. Figure \[figureFive\](d) shows that increasing $Q_o$ while maintaining low $Q_m$ raises the signal level but maintains a broad bandwidth, making the signal accessible at all mechanical frequencies between $\omega/\omega_m$ = $\pm$3 for support lengths &gt; 40 $\mu$m.

Finally, we discuss how 