The central idea of this review is to consider quantum field theory models relevant for
particle physics and replace the fermionic matter in these models by a bosonic one. This is …

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 give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

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 …

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 …

Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental
importance in several areas of physics ranging from high-energy physics to condensed …

We generalize the Schrieffer-Wolff transformation to periodically driven systems using
Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi …

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 …

From the standard model of particle physics to strongly correlated electrons, various physical
settings are formulated in terms of matter coupled to gauge fields. Quantum simulations …

We demonstrate a density-dependent gauge field, induced by atomic interactions, for
quantum gases. The gauge field results from the synchronous coupling between the …