Impact of Colored Noise Autocorrelation on System Decoherence and Survival Probability

Figure 3 illustrates that after long-term evolution, the survival probability of the system is relatively low. The survival probability of systems with positively autocorrelated red noise is higher than that of systems with white noise, indicating that the autocorrelation of colored noise has an impact on the system's decoherence. Moreover, positive autocorrelation can preserve the coherence of the system. On the other hand, the coupling probability of blue noise is entangled with white noise due to its short-term autocorrelation, and the survival probability of both types of noise is mainly affected by their statistical properties rather than autocorrelation.