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 review experimental progress on optical atomic clocks and frequency transfer, and
consider the prospects of using these technologies for geodetic measurements. Today …

Linear strings of trapped atomic ions held in radio-frequency (rf) traps constitute one of the
leading platforms for quantum simulation experiments, allowing the investigation of …

The presence of long-range quantum spin correlations underlies a variety of physical
phenomena in condensed-matter systems, potentially including high-temperature …

Quantum simulation of spin models can provide insight into problems that are difficult or
impossible to study with classical computers. Trapped ions are an established platform for …

For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

The field of complex (dusty) plasmas—low-temperature plasmas containing charged
microparticles—is reviewed: The major types of experimental complex plasmas are briefly …

We show that the physical system consisting of trapped ions interacting with lasers may
undergo a rich variety of quantum phase transitions. By changing the laser intensities and …

The enlarged new edition of this textbook provides a comprehensive introduction to the
basic processes in plasmas and demonstrates that the same fundamental concepts describe …