Figure 8.

Phase synchronization for setups A2 [(a–c)] and B2 [(d–f)]: Evolutions of the ratios for the phases of the strongly [${\mathrm{\Psi }}_s(t)$] and weakly [${\mathrm{\Psi }}_w(t)$] driven cavity modes. In setup A2, we fix other parameters and change the coupling strengths to be: (a) $G_s/G_w=100$, (b) $G_s/G_w=10$, and (c) $G_s/G_w=1$, where $G_s=g_s/x_{\mathrm{ZPF}}$ and $g_s=0.126\mathrm{GHz}$. In setup B2, the spring coefficients are: (d) $k/{\gamma }_s={10}^{-4}$, (e) $k/{\gamma }_s={10}^{-2}$, and (f) $k/{\gamma }_s={10}^3$, while $g_s/2\pi =g_w/2\pi =0.126\mathrm{GHz}$. The red line in each panel denotes the forecasting value $G_s/G_w$. Here, ${\epsilon }_w/2\pi =1.1\mathrm{GHz}$ for setup A2 and ${\epsilon }_w/2\pi =0.22\mathrm{GHz}$ for setup B2. All the other parameters are the same as in Fig. 7.