√ n + 1g c when considering the JC model (see Eq. 5). This is also known as a cavity-induced avoided crossing, 5,10 which can impact how much populations on the upper and lower polaritons can transfer to each other. The second effect is that larger values of g c will increase the extent of the regions of the polariton surfaces that have mixed electronicphotonic excited character. This change in excited character can impact how strongly these polariton states interact with other quantum states.