The Collective Lamb Shift of a Nanoscale Atomic Vapour Layer within a Sapphire Cavity

We measure the near-resonant transmission of light through a dense medium of potassium vapor confined in a cell with nanometer thickness. We observe that the frequency of the minimal transmission first shifts to the blue and then to the red as a function of increasing vapor density. We show that this effect is predicted by a simple mean-field model of the vapor confined between dielectric windows, and arises due to competition between propagation and collective light-atom interactions. Although our model includes the collective Lamb shift seen as a cavity effect, we observe an additional shift that depends on the thickness of the vapor. This extra shift lies outside of the standard mean-field optical model and demands further experimental and theoretical investigations.