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 …

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 …

We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic
external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The …

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 …

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 …

The concept of quantum many-body scars has recently been put forward as a route to
describe weak ergodicity breaking and violation of the eigenstate thermalization hypothesis …

Quantum simulation has the potential to investigate gauge theories in strongly interacting
regimes, which are currently inaccessible through conventional numerical techniques. Here …

We present a minimal non-Hermitian model where a topologically nontrivial complex energy
spectrum is induced by interparticle interactions. Our model consists of a one-dimensional …

We prove the existence of nonequilibrium phases of matter in the prethermal regime of
periodically driven, long-range interacting systems, with power-law exponent α> d, where d …

We show how a large family of interacting nonequilibrium phases of matter can arise from
the presence of multiple time-translation symmetries, which occur by quasiperiodically …