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 …

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 …

A bstract Inspired by the universal operator growth hypothesis, we extend the formalism of
Krylov construction in dissipative open quantum systems connected to a Markovian bath …

We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …

Unitary circuits subject to repeated projective measurements can undergo an entanglement
phase transition (EPT) as a function of the measurement rate. This transition is generally …

The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …

We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …