Since the acceptor state does not carry any groundto-excited transition dipole, the matter-cavity coupling term g c does not provide any coupling between polariton states and the |A, 0⟩ state. Thus, the polaritonmediated effective coupling V ± c only has a contribution from the electronic Hamiltonian operator. Under the JC model consideration, the cavity-mediated electronic couplings between |+, 0⟩ and |A, 0⟩ states is