We perform a simultaneous fit of this model to the auto-correlation of the resonance fluorescence and the cross-correlation between the resonance fluorescence and the radiative Auger emission. The result of this fit is shown in Fig. \[fig:g2Fit\]. The obtained fit parameters are stated in Tab. \[tab:fitG2\]. These parameters also give a good fit to the auto-correlation of the radiative Auger emission, which is shown in Fig. \[fig:crosscorr\](f) of the main text. All fit parameters are kept the same, and only the Rabi-frequency is increased, taking into account that the auto-correlation of the radiative Auger emission has been measured at higher power.

  ---------------- ------------------ ------------------ ------------------ ----------------------------- ---------------------------- --------------- ------- ------- -------
   $\Omega$ (GHz)   $\Gamma_r$ (GHz)   $\Gamma_A$ (GHz)   $\Gamma_p$ (GHz)   $\Gamma_{\text{out}}$ (GHz)   $\Gamma_{\text{in}}$ (GHz)   $t_{bl}$ (ns)   $c_0$   $c_1$   $c_l$
        1.85              1.22              0.001               11.7                    0.82                          0.07                   7.2        1.143   0.153   0.126
  ---------------- ------------------ ------------------ ------------------ ----------------------------- ---------------------------- --------------- ------- ------- -------

Evaluation of Correlation Measurements
======================================

All $g^{(2)}$-measurements are performed in a time-tagged, time-resolved mode. The arrival times of all photons are recorded over the full integration time, $T$, on two single-photon detectors. Any analysis is carried out post-measurement. We compute the cross-correlation ($g^{(2)}$) between both signals by counting the coincidence events between 