Cascaded dynamics of a periodically driven dissipative dipolar system

TL;DR

This paper uses a fluctuation-regulated quantum master equation to analyze the cascaded evolution of a periodically driven dissipative dipolar system, revealing multiple prethermal states and a critical limit for their existence.

Contribution

It introduces a novel application of FRQME to describe cascaded prethermal states in driven dissipative dipolar systems, extending understanding beyond Floquet formalism.

Findings

Identification of a cascade of prethermal states

Existence of a critical limit for prethermal plateau

Short timescale emergence of prethermal states

Abstract

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.