Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrasesIn this research we consider two colored noise sources in the kic

This study examines the effects of two distinct types of colored noise on a kicked-driven system, namely, the levy timing noise and colored amplitude noise in both red and blue forms. Through an analysis of the decoherence factor and momentum spreading, we have determined that the incorporation of positive autocorrelation colored noise alongside the levy timing noise can yield a more pronounced reduction in decoherence and momentum spreading compared to the use of white amplitude noise. Conversely, the utilization of negative autocorrelation colored noise in conjunction with the levy timing noise serves to expedite the occurrence of decoherence and momentum spreading.