Fig. presents the same plot as Fig. , with the positive detuning case, and Fig. presents the rate constants with the negative detuning case. The change of detuning leads to two mutually antagonistic effects. For the positive detuning case, the model system has + → D transition energy matches the peak of the function J(ω)[n(ω) + 1] (see Fig. ), and D → -farther away from resonance with J(ω)[n(ω)+1]. This resonance between ω + -ω x and the peak value of J(ω)[n(ω) + 1] is expected to promote the + → D transition rate and suppress D → -rate. On the other hand, the positive detuning reduces the exciton component of |+⟩ state, which leads to a smaller 1±cos 2ϕ pre-factor in Eq. 30a and suppresses the + → D transition rate, while D → -gets an increased pre-factor that promotes the transition rate. In the present case, the effect of the pre-factor turns out to be stronger than the resonance effect. Comparing Fig. ,e to Fig. , the positive detuning promotes k D→-and suppresses k +→D . Analogous observations can be made for negative detuning, Fig. , which promotes k +→D and suppresses k -→D compared to the zero detuning case in Fig. .