English

Almost strong 0, {\pi} edge modes in clean, interacting 1D Floquet systems

Strongly Correlated Electrons 2020-01-28 v4 Statistical Mechanics

Abstract

Certain periodically driven quantum many-particle systems in one dimension are known to exhibit edge modes that are related to topological properties and lead to approximate degeneracies of the Floquet spectrum. A similar situation occurs in spin chains, where stable edge modes were shown to exist at all energies in certain integrable spin chains. Moreover, these edge modes were found to be remarkably stable to perturbations. Here we investigate the stability of edge modes in interacting, periodically driven, clean systems. We introduce a model that features edge modes that persist over times scales well in excess of the time needed for the bulk of the system to heat to infinite temperatures.

Keywords

Cite

@article{arxiv.1902.09509,
  title  = {Almost strong 0, {\pi} edge modes in clean, interacting 1D Floquet systems},
  author = {Daniel J. Yates and Fabian H. L. Essler and Aditi Mitra},
  journal= {arXiv preprint arXiv:1902.09509},
  year   = {2020}
}

Comments

14 pages, 15 figures

R2 v1 2026-06-23T07:50:35.954Z