Classical colored noise-induced quantum synchronization

We investigate the phenomenon of quantum transient synchronization in an open quantum system comprising a qubit interacting with a non-Gaussian fluctuating colored-noise environment. The spectrum of this environment follows a power-law form of 1/f(alpha). We employ the Husimi Q-function and the synchronization measure S-function to measure the occurrence and strength of phase locking. The findings reveal that Markovian and non-Markovian dynamics contribute to quantum synchronization, with their significance dependent on the parameter alpha. Our analysis hints at a transition between Markovian and non-Markovian behavior in the pure dephasing evolution, estimated around alpha approximate to 1. Furthermore, the Arnold tongue phenomenon offers additional evidence to support our observations. Deviating from the alpha approximate to 1 value increases the likelihood of synchronization while increasing the number of fluctuators narrows down the synchronization region.