The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

Recent progress in utilizing ultrafast light-matter interaction to control the macroscopic
properties of quantum materials is reviewed. Particular emphasis is placed on photoinduced …

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 …

The discrete time crystal (DTC) is a nonequilibrium phase of matter that spontaneously
breaks time-translation symmetry. Disorder-induced many-body localization can stabilize the …

Extending the framework of statistical physics to the nonequilibrium setting has led to the
discovery of previously unidentified phases of matter, often catalyzed by periodic driving …

We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

Abstract Greenberger-Horne-Zeilinger (GHZ) states, also known as two-component
Schrödinger cats, play vital roles in the foundation of quantum physics and the potential …

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 …

Understanding topological matter is an outstanding challenge across several disciplines of
physical science. Programmable quantum simulators have emerged as a powerful approach …

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 …