Finally, while arguments concerning timescale separations are instrumental for understading molecular vibronic dynamics, and for a cavity photon in resonance with amolecular electronic transition, a picture of fast electronic-photonic dynamics vs slow nuclear dynamics is by itself valid, it is important to note that in Eq. ( ) the electronic dynamics is dominated by two different timescales. The timescale associated with the Rabi splitting, can be of order fs or even shorter [18], much smaller than characteristic molecular nuclear time . That being said, the timescale associated with energy transfer between molecules is of order where can be of order as a conservative estimate. These timescales thus satisfy