The Floquet Engineer's Handbook

TL;DR

This paper serves as a comprehensive pedagogical guide to the theoretical tools and methods used in Floquet engineering, aimed at both newcomers and experienced researchers in the field.

Contribution

It provides a detailed, accessible resource on analytical techniques for Floquet-Bloch band engineering and non-equilibrium dynamics, complementing recent review work.

Findings

Clarifies key theoretical methods in Floquet engineering

Provides practical analytical techniques for band structure manipulation

Serves as a resource for new and experienced researchers

Abstract

We provide a pedagogical technical guide to many of the key theoretical tools and ideas that underlie work in the field of Floquet engineering. We hope that this document will serve as a useful resource for new researchers aiming to enter the field, as well as experienced researchers who wish to gain new insight into familiar or possibly unfamiliar methods. This guide was developed out of supplementary material as a companion to our recent review, "Band structure engineering and non-equilibrium dynamics in Floquet topological insulators," Nature Reviews Physics 2, 229 (2020). The primary focus is on analytical techniques relevant for Floquet-Bloch band engineering and related many-body dynamics. We will continue to update this document over time to include additional content, and welcome suggestions for further topics to consider.