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 …

Non-equilibrium topological phenomena can be induced in quantum many-body systems
using time-periodic fields (for example, by laser or microwave illumination). This Review …

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 …

Coherent control via periodic modulation, also known as Floquet engineering, has emerged
as a powerful experimental method for the realization of novel quantum systems with exotic …

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …

Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic
quantum phases. While driven many-body systems are generically expected to absorb …

Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

Recent experimental and theoretical works have made much progress toward
understanding nonequilibrium phenomena in thermalizing systems, which act as thermal …

Topological multipole insulators are a class of higher-order topological insulators (HOTIs) in
which robust fractional corner charges appear due to a quantized electric multipole moment …

We prove the existence of nonequilibrium phases of matter in the prethermal regime of
periodically driven, long-range interacting systems, with power-law exponent α> d, where d …