After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

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 …

Quantum walks are the quantum mechanical analog of classical random walks and an
extremely powerful tool in quantum simulations, quantum search algorithms, and even for …

Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Electrification of conventionally fired chemical reactors has the potential to reduce CO2
emissions and provide flexible and compact heat generation. Here, we describe a disruptive …

We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic
external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The …

Gauge theories constitute the basis of the Standard Model and provide useful descriptions of
various phenomena in condensed matter. Realizing gauge theories on tunable tabletop …

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 …

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 …

Understanding the general principles underlying strongly interacting quantum states out of
equilibrium is one of the most important tasks of current theoretical physics. With …