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 …

Floquet engineering, the control of quantum systems using periodic driving, is an old
concept in condensed matter physics dating back to ideas such as the inverse Faraday …

The control of nonequilibrium quantum dynamics in many-body systems is challenging
because interactions typically lead to thermalization and a chaotic spreading throughout …

Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena
that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete …

The emergence of statistical mechanics for isolated classical systems comes about through
chaotic dynamics and ergodicity. Here we review how similar questions can be answered in …

Spontaneous symmetry breaking is a fundamental concept in many areas of physics,
including cosmology, particle physics and condensed matter. An example is the breaking of …

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

Experimental advances have allowed for the exploration of nearly isolated quantum many-
body systems whose coupling to an external bath is very weak. A particularly interesting …

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 …