The realization of Bose Einstein condensates (BEC) and quantum degenerate Fermi gases
with cold atoms has been a highlight of quantum physics during the past decade. Cold …

The goal of the present article is to review the major developments that have led to the
current understanding of molecule–field interactions and experimental methods for …

Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a
competitive physical platform for quantum simulation and computing, where high-fidelity …

Controllable, coherent many-body systems can provide insights into the fundamental
properties of quantum matter, enable the realization of new quantum phases and could …

Ultracold atoms in optical lattices are ideal to study fundamentally new quantum many-body
systems, including frustrated or topological magnetic phases, and supersolids,. However …

The ability to control and tune interactions in ultracold atomic gases has paved the way for
the realization of new phases of matter. So far, experiments have achieved a high degree of …

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a
major theoretical challenge, especially in more than one dimension. We experimentally …

We review experimental and theoretical tools to excite, study and understand strongly
interacting Rydberg gases. The focus lies on the excitation of dense ultracold atomic …

Dominating finite-range interactions in many-body systems can lead to intriguing self-
ordered phases of matter. For quantum magnets, Ising models with power-law interactions …

By selecting two dressed rotational states of ultracold polar molecules in an optical lattice,
we obtain a highly tunable generalization of the tJ model, which we refer to as the tJVW …