Topological $\pi$ modes and beyond

Abstract

This short Perspective article presents an overview of the discovery of topological $\pi$ modes as well as their physical significance in quantum computing and the understanding of an exotic phase of matter, i.e., the Floquet time crystal. The recent proposals of $2\pi /k$ modes as the generalizations of $\pi$ modes are further elucidated.

5 pages, 1 figure. Published in Science Bulletin

References in corpus (3)

• Topological characterization of periodically-driven quantum systems
• A Brief History of Time Crystals
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain