Fig. 2.

Electron transfer parameters for catalytic behavior. The lower polariton (LP) channel dominates the kinetics over the many dark (D) channels for these values of $\mathrm{\Delta }E$ (the energy difference between product P and reactant R), ${\lambda }_{\mathrm{S}}$ (the classical reorganization energy), and $\mathrm{\Delta }$ (the detuning between the cavity and the high-frequency mode of the product). In a we explore the three variables, whereas in b we show the cross-section under the resonant condition. For these calculations, the reactant and product modes have equal high-frequencies ${\omega }_{\mathrm{R}}={\omega }_{\mathrm{P}}$, $k_{\mathrm{B}}T=0.2\hslash {\omega }_{\mathrm{P}}$, $N=10^{10}$, $S=1$, and the Rabi splitting is $\hslash \mathrm{\Omega }=5\times 10^{-2}\hslash {\omega }_{\mathrm{P}}$