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 …

A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

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 …

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 …

Thouless pum** provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

A hallmark feature of topological insulators is robust edge transport that is impervious to
scattering at defects and lattice disorder. We demonstrate a topological system, using a …

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 …

In recent years, the notion of'Quantum Materials' has emerged as a powerful unifying
concept across diverse fields of science and engineering, from condensed-matter and …

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

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 …