Floquet engineering is the concept of tailoring a system by a periodic drive, and it is increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a particularly large toolbox to design a variety of driving schemes. A strong motivation for developing these methods is the prospect to study the interplay between topology and interactions in a system where both ingredients are fully tunable. We review the recent successes of Floquet engineering in realizing new classes of Hamiltonians in quantum gases, such as Hamiltonians including artificial gauge fields, topological band structures and density-dependent tunnelling. The creation of periodically driven systems also gives rise to phenomena without static counterparts such as anomalous Floquet topological insulators. We discuss the challenges facing the field, particularly the control of heating mechanisms, which currently limit the preparation of many-body phases, as well as the potential future developments as these obstacles are overcome.

Floquet 工程是通过周期性驱动来定制系统的概念，它越来越多地应用于物理学的许多领域。光学晶格中的超冷原子为设计各种驱动方案提供了一个特别大的工具箱。开发这些方法的一个强烈动机是研究拓扑和相互作用之间相互作用的前景，其中两种成分都完全可调。我们回顾了 Floquet 工程最近在实现量子气体中哈密顿量方面取得的成功，例如包括人工规范场、拓扑能带结构和密度相关隧穿在内的哈密顿量。周期性驱动系统的创建也会产生没有静态对应物的现象，例如异常 Floquet 拓扑绝缘体。我们讨论该领域面临的挑战，