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Supplementary Information {#supplementary-information .unnumbered}
=========================

System parameter summary
========================

System parameters are summarized in Table \[tab:params\] for the configuration with $\eta_\mathrm{M}=0.43$. These parameters apply to all data in the main text, except Fig. 2c, where $\eta_\mathrm{M}$ is varied.

  --------------------------------------------------------- -------- -----
                  $\kappa_{\text{e}}/2\pi$                    2.5     MHz
                 $\kappa_{\text{ex,e}}/2\pi$                  2.3     MHz
                $\kappa_{\text{int,e}}/2\pi$                  0.2     MHz
                  $\Delta_{\text{e}}/2\pi$                   -1.47    MHz
              $G_{\text{e}}x_\mathrm{zp}/2\pi$                3.8     Hz
                  $\kappa_{\text{o}}/2\pi$                    2.1     MHz
                 $\kappa_{\text{ex,o}}/2\pi$                  1.1     MHz
                         $\epsilon$                           0.87   
   $\kappa_{\text{B,o}}/2\pi + \kappa_{\text{int,o}}/2\pi$    1.0     MHz
                  $\Delta_{\text{o}}/2\pi$                   -1.11    MHz
              $G_{\text{o}}x_\mathrm{zp}/2\pi$                6.6     Hz
           $\omega_{\text{m}}/2\pi = f_\mathrm{m}$           1.4732   MHz
                  $\gamma_{\text{m}}/2\pi$                     11     Hz
  --------------------------------------------------------- -------- -----

  : \[tab:params\]Converter parameters for $\eta_\mathrm{M}=0.43$ configuration.

