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

Entanglement entropy plays a variety of roles in quantum field theory, including the
connections between quantum states and gravitation through the holographic principle. This …

Random quantum circuits yield minimally structured models for chaotic quantum dynamics,
which are able to capture, for example, universal properties of entanglement growth. We …

Characterizing how entanglement grows with time in a many-body system, for example, after
a quantum quench, is a key problem in nonequilibrium quantum physics. We study this …

We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

We solve a minimal model for an ergodic phase in a spatially extended quantum many-body
system. The model consists of a chain of sites with nearest-neighbor coupling under Floquet …

In this work, we find that the complexity of quantum many-body states, defined as a spread in
the Krylov basis, may serve as a probe that distinguishes topological phases of matter. We …

Entanglement and entropy are key concepts standing at the foundations of quantum and
statistical mechanics. Recently, the study of quantum quenches revealed that these …

A bstract In this note, following [1–3], we introduce and study various holographic systems
which can describe evaporating black holes. The systems we consider are boundary …