请用英文润色： 该式表明系统的动量扩散可以对$A(n',n)$进行相位变换后累加得到，其中$\epsilon _{ps}$表示$\epsilon _p-\epsilon _s$。该式与生存振幅相关，证明有色噪声的自相关性能够影响系统的动量扩散。图4给出了我们对动量扩散的数值计算结果。

This equation shows that the momentum diffusion of the system can be accumulated by phase transformation of $A(n',n)$, where $\epsilon _{ps}$ represents $\epsilon _p-\epsilon _s$. This equation is related to the survival amplitude, and it is demonstrated that the autocorrelation properties of colored noise can affect the momentum diffusion of the system. Figure 4 presents our numerical results for momentum diffusion.