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 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 …

Full control over the dynamics of interacting, indistinguishable quantum particles is an
important prerequisite for the experimental study of strongly correlated quantum matter and …

A primer on the Floquet theory of periodically time-dependent quantum systems is provided,
and it is shown how to apply this framework for computing the quasienergy band structure …

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 …

Time-periodic driving like lattice shaking offers a low-demanding method to generate
artificial gauge fields in optical lattices. We identify the relevant symmetries that have to be …

Extensions of Berry's phase and the quantum Hall effect have led to the discovery of new
states of matter with topological properties. Traditionally, this has been achieved using …

Control over the motional degrees of freedom of atoms, ions, and molecules in a field-free
environment enables unrivalled measurement accuracies but has yet to be applied to highly …

This paper proposes a simple setup for introducing an artificial magnetic field for neutral
atoms in 2D optical lattices. This setup is based on the phenomenon of photon-assisted …

We study the impact of coherently generated lattice photons on an atomic Mott insulator
subjected to a uniform force. Analogous to an array of tunnel-coupled and biased quantum …