where the coupling strength between the cavity mode and the k th environmental mode is g k , characterized by a spectral density. This Hamiltonian can be rigorously derived from QED first principles and has been used to investigate polariton quantum dynamics in a dissipative cavity. While there may exist some important non-Markovian effects caused by the explicit cavity-bath description, most often one is only concerned with the primary effect of cavity loss on the molecule-cavity system which is incoherent decay of excited population, which can be described using Markovian dynamics. As such, most discussions of cavity loss in the literature are based on the Lindblad master equation which is the most general description of the Markovian dynamics of open systems. The Lindblad master equation incorporates jump operators to describe the dissipative dynamical effects of the implicit bath. Most polariton literature up to this point that have described cavity loss with the Lindblad formalism have used the phenomenological jump oper-