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 …

We present a review of quantum computation with neutral atom qubits. After an overview of
architectural options and approaches to preparing large qubit arrays we examine Rydberg …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

The many-body problem is ubiquitous in the theoretical description of physical phenomena,
ranging from the behaviour of elementary particles to the physics of electrons in solids. Most …

Quantum spin models have been extensively used to study the properties of strongly
correlated systems and to find approximate solutions to combinatorial optimization …

Trapped Rydberg ions represent a flexible platform for quantum simulation and information
processing that combines a high degree of control over electronic and vibrational degrees of …

We report the optical trap** of multiple ions localized at individual lattice sites of a one-
dimensional optical lattice. We observe a fivefold increased range of axial dc-electric field …

We experimentally study two-dimensional (2D) Coulomb crystals in the “radial-2D” phase of
a linear Paul trap. This phase is identified by a 2D ion lattice aligned entirely with the radial …

Many-body localization is a unique physical phenomenon driven by interactions and
disorder for which a quantum system can evade thermalization. Although the existence of a …