In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

This topical review addresses how Rydberg atoms can serve as building blocks for
emerging quantum technologies. Whereas the fabrication of large numbers of artificial …

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 …

The concept of topological phases is a powerful framework for characterizing ground states
of quantum many-body systems that goes beyond the paradigm of symmetry breaking …

A great challenge in current quantum science and technology research is to realize artificial
systems of a large number of individually controlled quantum bits for applications in …

Quantum information processing based on Rydberg atoms emerged as a promising
direction two decades ago. Recent experimental and theoretical progresses have shined …

We experimentally realize a Peierls phase in the hopping amplitude of excitations carried by
Rydberg atoms, and observe the resulting characteristic chiral motion in a minimal setup of …

Arrays of highly excited Rydberg atoms can be used as powerful quantum simulation
platforms. Here, we introduce an approach that makes it possible to implement fully …

We present a setup with Rydberg atoms for the realization of a bosonic fractional Chern
insulator in artificial matter. The suggested setup relies on Rydberg atoms arranged in a …

Modern theory of electric polarization is formulated by the Berry phase, which, when
quantized, leads to topological phases of matter. Such a formulation has recently been …