Temporal disorder in spatiotemporal order
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.
Cite
@article{arxiv.2212.03135,
title = {Temporal disorder in spatiotemporal order},
author = {Hongzheng Zhao and Johannes Knolle and Roderich Moessner},
journal= {arXiv preprint arXiv:2212.03135},
year = {2023}
}
Comments
9 pages, 8 figures; References are updated. We also add discussions about the hyperuniform driving