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 …

The study of nonequilibrium phenomena in correlated lattice systems has developed into
one of the most active and exciting branches of condensed matter physics. This research …

We derive a systematic high-frequency expansion for the effective Hamiltonian and the
micromotion operator of periodically driven quantum systems. Our approach is based on the …

We construct a systematic high-frequency expansion for periodically driven quantum
systems based on the Brillouin-Wigner (BW) perturbation theory, which generates an …

We present a universal method to create a tunable, artificial vector gauge potential for
neutral particles trapped in an optical lattice. The necessary Peierls phase of the hopping …

By applying a microwave drive to a specially designed Josephson circuit, we have realized
a double-well model system: a Kerr oscillator submitted to a squeezing force. We have …

We review both theoretical and experimental advances in the recently emerged field of
modulated photonic lattices. These artificial periodic dielectric structures provide a powerful …

Engineered photonic waveguides have provided in the past decade an extremely rich
laboratory tool to visualize with optical waves the classic analogues of a wide variety of …

We demonstrate experimentally that matter waves can be coherently and adiabatically
loaded and controlled in one-, two-, and three-dimensional strongly driven optical lattices …

We review the physical phenomena that arise when quantum mechanical energy levels are
modulated in time. The dynamics resulting from changes in the transition frequency is a …