Superfluidity vs prethermalisation in a nonlinear Floquet system

TL;DR

This paper demonstrates that superfluidity can prevent thermalisation in a nonlinear Floquet system, revealing a class of initial states that avoid heating due to stable superflow, contrasting with typical Floquet heating behavior.

Contribution

It introduces a novel mechanism where superfluidity inhibits thermalisation in nonlinear periodically-driven lattice systems, expanding understanding of non-equilibrium dynamics.

Findings

Superfluidity prevents thermalisation in certain initial states.

Existence of stable superflow motion in nonlinear Floquet systems.

Identification of initial states that do not thermalise at all.

Abstract

We show that superfluidity can be used to prevent thermalisation in a nonlinear Floquet system. Generically, periodic driving boils an interacting system to a featureless infinite temperature state. Fast driving is a known strategy to postpone Floquet heating with a large but always finite boiling time. In contrast, using a nonlinear periodically-driven system on a lattice, we show the existence of a continuous class of initial states which do not thermalise at all. This absence of thermalisation is associated to the existence and persistence of a stable superflow motion.