Recent decades have witnessed great developments in the field of quantum simulation—
where synthetic systems are built and studied to gain insight into complicated, many-body …

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 …

Motivated by far-reaching applications ranging from quantum simulations of complex
processes in physics and chemistry to quantum information processing, a broad effort is …

The control of nonequilibrium quantum dynamics in many-body systems is challenging
because interactions typically lead to thermalization and a chaotic spreading throughout …

Quantum simulation using synthetic systems is a promising route to solve outstanding
quantum many-body problems in regimes where other approaches, including numerical …

After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

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 …

Spontaneous symmetry breaking underlies much of our classification of phases of matter
and their associated transitions,–. The nature of the underlying symmetry being broken …

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 …

In this short review article, we aim to provide physicists not working within the quantum
computing community a hopefully easy-to-read introduction to the state of the art in the field …