A Decade of Time Crystals: Quo Vadis?

TL;DR

This paper reviews a decade of research on time crystals, highlighting their development, current challenges, and future prospects in condensed matter physics within the time domain.

Contribution

It provides a comprehensive overview of the history, current research directions, and future challenges of time crystals over the past decade.

Findings

Time crystals exhibit unique temporal order.

Research has advanced understanding of non-equilibrium phases.

Future work aims to explore applications and fundamental properties.

Abstract

Ten years ago, the new era of time crystals began. Time crystals are systems that behave in the time dimension like ordinary space crystals do in space dimensions. We present a brief history of a decade of research on time crystals, describe current research directions, indicate challenges, and discuss some future perspectives for condensed matter physics in the time domain.