where g c is the light-matter coupling strength between a single molecule and the cavity mode. This interaction is described at the Tavis-Cummings level of approximation 1,68-70 which includes the rotating wave approximation and the lack of dipole self-energy, which are reasonable approximations in the coupling regime √ Ng c /hω c < 0.1 (before entering into the ultra-strong coupling regime ). Additionally, each molecule's transition dipole is assumed to be aligned with the cavity field polarization and identical in magnitude such that each molecule's coupling g c is identical and static.