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

## TL;DR

This paper investigates the stability of edge modes in interacting, periodically driven one-dimensional quantum systems, demonstrating their persistence over long timescales despite heating effects.

## Contribution

It introduces a new model showing stable edge modes in clean, interacting Floquet systems, extending understanding of topological edge states beyond integrable models.

## Key findings

- Edge modes persist over long timescales
- Edge modes are stable against perturbations
- System heats to infinite temperature over very long times

## 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.