Tailoring quantum gases by Floquet engineering

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