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 systematic review of the adiabatic theorem and the leading non-adiabatic
corrections in periodically-driven (Floquet) systems. These corrections have a two-fold …

We provide a new hydrodynamic framework to describe out-of-equilibrium integrable
systems with space-time inhomogeneous interactions. Our result builds up on the recently …

Periodic driving of optical lattices has enabled the creation of novel band structures not
realizable in static lattice systems, such as topological bands for neutral particles. However …

We study the coherent dynamics of a quantum many-body system subject to a time-periodic
driving. We argue that in many cases, destructive interference in time makes most of the …

We study the dynamics and stability in a strongly interacting resonantly driven two-band
model. Using exact numerical simulations, we find a stable regime at large driving …

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 hop** in spin-dependent optical …

We consider a one-dimensional interacting spinless fermion model, which displays the well-
known Luttinger liquid (LL) to charge density wave (CDW) transition as a function of the ratio …

We demonstrate the existence of long-lived prethermalized states in the Mott insulating
Hubbard model driven by periodic electric fields. These states, which also exist in the …