the cavity from atomic transition, (a) $\Delta_{ca} = 0$ and (b) $\Delta_{ca} =-15$ MHz. Other parameters are strength of drive field, $\Omega/(2\pi) = 6$ MHz, strength of probe field $\eta/(2\pi) = 4.75$ MHz, atom-cavity collective strong coupling, $g_t/(2\pi) = 30$ MHz, $\Gamma/(2\pi) = 6$ MHz, cavity FWHM, $2\kappa/(2\pi) = 9.5$ MHz, and $\Delta_{pa} =-   13$ MHz. $\alpha$ is field amplitude inside the cavity. The photon number is equal to $|\alpha|^2$.[]{data-label="gainsim"}](simulation.pdf){width="8.5cm"}

On changing the detuning of the cavity with respect to the atomic transition, the collective eigenstate (VRS) also shifts in frequency. When the cavity is blue detuned with respect to the atomic transition, the red VRS peak shifts towards the atomic transition and the blue peak shifts away from the atomic transition. This makes it possible for the red VRS peak to be in resonance with the MOT cooling laser which is 13 MHz red detuned from the atomic transition when the detuned cavity resonance is to the blue side. As can be inferred from Fig. \[mollow\] the atomic fluorescence is dominant at MOT/drive laser frequency. Hence, the combined system of atoms and cavity becomes resonant for most of the fluorescent light, when the cavity is blue detuned with respect 