@raimond_manipulating_2001] are central to atomic physics, few experiments combine an intra-cavity ensemble of cold atoms with a cavity [@chan_observation_2003; @hernandez_vacuum_2007; @guerin_mechanisms_2008; @baumann_dicke_2010; @ray_temperature_2013; @purdy_tunable_2010]. Cooled and trapped atoms are spatially localized, natural linewidth limited and have high local densities, which permits ease of spectral and spatial overlap with cavity modes. When a large number of these atoms are contained within the cavity mode volume, and the atom-cavity system is brought into resonance, a collective strong coupling of atoms and light alters [@tavis_exact_1968; @raizen_normal-mode_1989; @thompson_observation_1992; @hernandez_vacuum_2007; @ray_temperature_2013; @sharma_optical_2015; @sawant_optical-bistability-enabled_2016; @dutta_nondestructive_2016] the transmission properties of resonant probe light through the cavity. This manifests in a change from a single transmission peak per spatial electromagnetic (EM) mode with a Lorentzian lineshape for an empty cavity, to zero transmission of the probe on atomic resonance and on scanning the probe light around the atomic transition, symmetric red and blue detuned transmission peaks are observed. The frequency difference between the transmitted peaks is given as $g_0 \sqrt{N_c}$, where $g_0$ is the single atom-cavity coupling and $N_c$ is the effective number of atoms coupled to the cavity mode.

In this article, we trap within the cavity mode, fluorescing and continuously driven MOT atoms. The atom numbers 