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 …

This Colloquium describes a new paradigm for creating strong quantum interactions of light
and matter by way of single atoms and photons in nanoscopic lattices. Beyond the …

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

Statistical mechanics relies on the maximization of entropy in a system at thermal
equilibrium. However, an isolated quantum many-body system initialized in a pure state …

We show that nonlinear problems including nonlinear partial differential equations can be
efficiently solved by variational quantum computing. We achieve this by utilizing multiple …

Characterizing how entanglement grows with time in a many-body system, for example, after
a quantum quench, is a key problem in nonequilibrium quantum physics. We study this …

We identify an unconventional algebraic scaling phase in the quantum dynamics of long-
range hop**, free fermions, which are exposed to continuous local measurements. The …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

The routine application of Csp3-hybridized nucleophiles in cross-coupling reactions remains
an unsolved challenge in organic chemistry. The sluggish transmetalation rates observed for …

The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …