“…For thermal ensembles of alkali-metal atoms in particular, it is easy to increase the number density substantially by a modest increase in temperature (see Appendix A of (34 )). Understanding the interplay between refractive index and absorption (35 ) is crucial for certain optical phenomena, for example the off-resonant (36 ) and slow-light Faraday effect (37 ), and in designing optical components based on thermal atomic vapours, such as compact optical isolators (38 ), Faraday filters (39 -41 ), magneto-optical transmission filters (42 ), Faraday dichroic beam splitters (43 ) and electromagnetically induced polarization rotators (44 ). Recent work has highlighted the importance of the precise experimental characterization of the susceptibility of an atomic medium inside an optical cavity, accounting for both homogeneous and inhomogeneous broadening at high optical densities, for the design and operation of quantum light-matter interfaces, particularly in the context of quantum information processing (45 -47 ).…”