Temporal disorder in spatiotemporal order

TL;DR

This paper introduces a novel correlated random driving protocol that creates a unique spatiotemporal order in systems, extending the concept of time translation symmetry breaking to disordered systems and demonstrating its robustness and prethermal stability.

Contribution

It presents a new method for realizing spatiotemporal order through correlated random driving, expanding the understanding of symmetry breaking in non-periodic systems.

Findings

Discovered a form of spatiotemporal order in randomly driven systems.

Showed the order's robustness against perturbations.

Analyzed the scaling of prethermal lifetime with symmetry of perturbations.

Abstract

Time-dependent driving holds the promise of realizing dynamical phenomenon absent in static systems. Here, we introduce a correlated random driving protocol to realize a spatiotemporal order that cannot be achieved even by periodic driving, thereby extending the discussion of time translation symmetry breaking to randomly driven systems. We find a combination of temporally disordered micro-motion with prethermal stroboscopic spatiotemporal long-range order. This spatiotemporal order remains robust against generic perturbations, with an algebraically long prethermal lifetime where the scaling exponent strongly depends on the symmetry of the perturbation, which we account for analytically.