Recent theoretical studies using a full quantum description of the vibrational degrees of freedom (DOF) and photonic DOF have successfully captured the resonance behavior under the single-molecule strong light-matter coupling regime . We have used quantum dynamics simulations to reveal how cavity modes enhance the ground state reaction rate constant . Specifically, we considered a double well potential coupled to a dissipative phonon bath as a generic model for chemical reaction, depicted in Fig. . A simplified mechanism for the barrier crossing is described as follows