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 …

Atom interferometers have been shown to be very stable and accurate sensors for
acceleration and rotation. In this paper we review the applications of atom interferometry to …

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 experimentally implement the Harper Hamiltonian for neutral particles in optical lattices
using laser-assisted tunneling and a potential energy gradient provided by gravity or …

Atom interferometers have been developed in the last three decades as new powerful tools
to investigate gravity. They were used for measuring the gravity acceleration, the gravity …

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 …

One of the central predictions of metric theories of gravity, such as general relativity, is that a
clock in a gravitational potential U will run more slowly by a factor of 1+ U/c 2, where c is the …

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 report on a precision measurement of gravitational acceleration using ultracold strontium
atoms confined in an amplitude-modulated vertical optical lattice. An uncertainty Δ g/g≈ 10 …

We report on the experimental realization of electric quantum walks, which mimic the effect
of an electric field on a charged particle in a lattice. Starting from a textbook implementation …