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 …

We investigate the dynamics of two-dimensional quantum spin systems under the combined
effect of random unitary gates and local projective measurements. When considering steady …

The spreading of entanglement in out-of-equilibrium quantum systems is currently at the
center of intense interdisciplinary research efforts involving communities with interests …

The time evolution of the entanglement entropy in non-equilibrium quantum systems
provides crucial information about the structure of the time-dependent state. For quantum …

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

These are lecture notes for a short course given at the Les Houches Summer School
on``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I …

We study the nonequilibrium phase diagram and the dynamical phase transitions occurring
during the prethermalization of nonintegrable quantum spin chains, subject to either …

The large-scale properties of homogeneous states after quantum quenches in integrable
systems have been successfully described by a semiclassical picture of moving …

Long-range interactions allow far-distance quantum correlations to build up very fast.
Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement …