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 …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Long-lived quasi-stationary states (QSSs) are a signature characteristic of long-range
interacting systems both in the classical and in the quantum realms. Often, they emerge after …

The phenomenon of spontaneous synchronization, particularly within the framework of the
Kuramoto model, has been a subject of intense research over the years. The model …

Studies of thermal transport in long-range (LR) interacting systems are currently particularly
challenging. The main difficulties lie in the choice of boundary conditions and the definition …

We study the dynamics of a system of coupled oscillators of distributed natural frequencies,
by including the features of both thermal noise, parametrized by a temperature, and inertial …

In recent years, studies of long-range interacting (LRI) systems have taken center stage in
the arena of statistical mechanics and dynamical system studies, due to new theoretical …

Motivated by considerations from neuroscience (macroscopic behavior of large ensembles
of interacting neurons), we consider a population of mean field interacting diffusions in R^m …

The aim of the paper is to address the behavior in large population of diffusions interacting
on a random, possibly diluted and inhomogeneous graph. This is the natural continuation of …

The study of the phase ordering kinetics of the ferromagnetic one-dimensional Ising model
dates back to 1963 (RJ Glauber, J. Math. Phys. 4, 294) for non conserved order parameter …