Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

Driving a quantum system periodically in time can profoundly alter its long-time dynamics
and trigger topological order. Such schemes are particularly promising for generating …

Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

We report on the experimental implementation of tunable occupation-dependent tunneling
in a Bose-Hubbard system of ultracold atoms via time-periodic modulation of the on-site …

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

We report on the experimental realization and detection of dynamical currents in a spin-
textured lattice in momentum space. Collective tunneling is implemented via cavity-assisted …

We study the dynamics and timescales of a periodically driven Fermi-Hubbard model in a
three-dimensional hexagonal lattice. The evolution of the Floquet many-body state is …

We show that density-dependent synthetic gauge fields may be engineered by combining
periodically modulated interactions and Raman-assisted hopping in spin-dependent optical …

Raman-assisted hopping may be used to realize the anyon Hubbard model in one-
dimensional optical lattices. We propose a feasible scenario that significantly improves the …