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 …

An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …

Superconducting circuits are a competitive platform for quantum computation because they
offer controllability, long coherence times and strong interactions—properties that are …

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 …

A particular strength of ultracold quantum gases is the range of versatile detection methods
that are available. As they are based on atom–light interactions, the whole quantum optics …

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 …

Floquet engineering is the concept of tailoring a system by a periodic drive, and it is
increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a …

Gauge fields that appear in models of high-energy and condensed-matter physics are
dynamical quantum degrees of freedom due to their coupling to matter fields. Since the …

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 …