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 …

Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

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 …

Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic
quantum phases. While driven many-body systems are generically expected to absorb …

We employ a quantum Liouville equation with relaxation to model the recently observed
anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized …

Exploring the interplay between topological band structures and tunable nonlinearities has
become possible with the development of synthetic lattice systems. In this emerging field of …

We generalize the Schrieffer-Wolff transformation to periodically driven systems using
Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi …

Understanding the robustness of topological phases of matter in the presence of strong
interactions and synthesizing novel strongly correlated topological materials lie among the …

Periodic driving can be used to control the properties of a many-body state coherently and to
realize phases that are not accessible in static systems. For example, exposing materials to …

We review the concepts and the present state of theoretical studies of spin-imbalanced
superfluidity, in particular the elusive Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state, in the …