Recent progress in utilizing ultrafast light-matter interaction to control the macroscopic
properties of quantum materials is reviewed. Particular emphasis is placed on photoinduced …

Non-equilibrium topological phenomena can be induced in quantum many-body systems
using time-periodic fields (for example, by laser or microwave illumination). This Review …

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

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 …

Gauge fields that appear in models of high-energy and condensed-matter physics are
dynamical quantum degrees of freedom due to their coupling to matter fields. Since the …

Ultracold atomic gases provide a fantastic platform to implement quantum simulators and
investigate a variety of models initially introduced in condensed matter physics or other …

Engineered, highly controllable quantum systems are promising simulators of emergent
physics beyond the simulation capabilities of classical computers. An important problem in …

Quantum simulation provides platforms to study fundamental aspects of many-body physics
in a controlled way, and to explore their implications for quantum technology. However, the …

Periodically driven Floquet quantum systems could provide a promising platform to
investigate novel physics out of equilibrium, but the drive generically heats the system to a …

We review recent developments in the research of nonlinear and nonequilibrium
phenomena in solids focusing on their geometrical aspects. We start with introducing the …