\langle \hat{b}_{s}^{\dagger}(t)\hat{b}_{s}(t+\tau) \rangle = \frac{1}{4} \frac{\Omega^{2}e^{i(\omega_{0}-\omega_{1})\tau}}{\beta^{2}(1+\theta^{2})} \left (1-\frac{\Omega^{2}}{\frac{1}{2}\Omega^{2} + \beta^{2}(1+\theta^{2})} \right) + \frac{\Omega^{4}e^{-\beta|\tau|} e^{i(\omega_{0}-\omega_{1})\tau}}{8\beta^{4}\theta(1+\theta^{2})^{2}} \times [\sin(\beta\theta|\tau|) + \theta \cos(\beta\theta\tau)] as t \Rightarrow \infty .
