Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Quantum many-body systems display rich phase structure in their low-temperature
equilibrium states. However, much of nature is not in thermal equilibrium. Remarkably, it was …

We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …

We study the scrambling of local quantum information in chaotic many-body systems in the
presence of a locally conserved quantity like charge or energy that moves diffusively. The …

Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

Despite being forbidden in equilibrium, spontaneous breaking of time translation symmetry
can occur in periodically driven, Floquet systems with discrete time-translation symmetry …

Clean and interacting periodically driven systems are believed to exhibit a single, trivial
“infinite-temperature” Floquet-ergodic phase. In contrast, here we show that their disordered …

This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

We review some recent developments in the statistical mechanics of isolated quantum
systems. We provide a brief introduction to quantum thermalization, paying particular …