In Fig. , the Lindblad jump operator interaction strength is set to be Γ = 1 meV, which causes the population of the upper and lower polariton states to decay to the ground state |g, 0⟩ of the molecule cavity hybrid system. While the L-MFE dynamics semi-quantitatively match the exact Lindblad dynamics, there are some noticeable differences in the magnitudes of oscillation of states |e, 0⟩ and |g, 1⟩, and the ground state |g, 0⟩ does not rise as quickly as predicted by Lindblad dynamics. Similarly, in Fig. , when the interaction strength is set to be Γ = 2 meV and Γ = 8 meV, respectively, the L-MFE dynamics show similar errors while still maintaining the semi-quantitatively correct dynamics.