Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrases：We can observe from Figreffig4a that the momentum diffusion unde

Figure 4(a) demonstrates that the momentum diffusion induced by double noise follows a power-law diffusion. In Figure 4(b), the momentum diffusion rate for the Levy parameter $\alpha = 2.0$ is found to be faster than that of $\alpha = 0.5$, which aligns with the Levy kick rotor model. The coefficient of this power-law diffusion can be influenced by the autocorrelation of colored noise. The introduction of positively correlated red noise has a more pronounced inhibitory effect due to its stronger positive autocorrelation, which hinders the decay of the decoherence factor. The slopes of the momentum diffusion curves with negatively correlated blue and violet noise exhibit slight variations compared to white noise. The autocorrelation of both blue and violet noise is characterized by short-range properties. This long-range positive autocorrelation of colored noise can further reduce the decoherence rate of the system, providing an effective approach for preserving coherence and observing decoherence properties.