Quantum dynamical speedup in classical colored-noise environments

In this paper, we have investigated the behavior alterations and properties of the quantum speed limit time (QSLT) under different parameters’ modulations, as well as its relation to the non-Markovianity of the system in the presence of random telegraph noise (RTN) and colored noise (CN). We found that when the switching rate of RTN and the power-law exponent of CN are varied, both QSLT and the non-Markovianity of the system change, and a specific negative correlation exists between them. We have also explored the consistency of the above-mentioned conclusions for both pure and mixed initial states. Our findings may be conducive to uncovering the mechanism of non-Markovian regulation of QSLT and providing possible artificial control schemes for this behavior.