  Recent experiments show that periodic drives on dipolar systems lead to
long-lived prethermal states. These systems are weakly coupled to the
environment and reach prethermal states in a timescale much shorter than the
timescale for thermalization. Such nearly-closed systems have previously been
analyzed using Floquet formalism, which shows the emergence of a prethermal
plateau. We use a fluctuation-regulated quantum master equation (FRQME) to
describe these systems. In addition to the system-environment coupling, FRQME
successfully captures the dissipative effect from the various local
interactions in the system. Our investigation reveals a cascaded journey of the
system to a final steady state. The cascade involves a set of prethermal or
arrested states characterized by a set of quasi-conserved quantities. We show
that these prethermal states emerge in a timescale much shorter than the
relaxation timescale. We also find and report the existence of a critical limit
beyond which the prethermal plateau ceases to exist.
