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 …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

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 …

Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

Ultracold quantum gases offer a unique setting for quantum simulation of interacting many-
body systems. The high degree of controllability, the novel detection possibilities and the …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

When a closed quantum system is driven periodically with period T, it approaches a periodic
state synchronized with the drive in which any local observable measured stroboscopically …

When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

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 …

We use Raman-assisted tunneling in an optical superlattice to generate large tunable
effective magnetic fields for ultracold atoms. When hopping in the lattice, the accumulated …