Observation of Floquet topological phases with large Chern numbers

TL;DR

This paper experimentally demonstrates Floquet topological phases with large Chern numbers in a periodically driven system using NV centers, revealing the potential of Floquet engineering to create complex topological states.

Contribution

It introduces an experimental scheme to observe Floquet topological phases with large Chern numbers in a solid-state system, expanding the understanding of Floquet topological matter.

Findings

Observation of Floquet Chern insulator phases with C=1,2,4

Imaging of static and dynamic spin textures in momentum space

Demonstration of Floquet engineering to generate large topological invariants

Abstract

One of the most intriguing advantage of Floquet engineering is to generate new phases with large topological invariants. In this work, we experimentally simulate a periodically quenched generalized Haldane model on an NV center in diamond, and observe its Floquet Chern insulator phases with Chern numbers $C=1,2,4$ by imaging the static and dynamic spin textures in momentum space. Our work reveals the power of Floquet driving in transforming system's topology and generating large Chern number phases. It further establishes a unique experimental scheme to detect Floquet topological phases in two and higher spatial dimensions.