This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

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

Thermalization and scrambling are the subject of much recent study from the perspective of
many-body quantum systems with locally bounded Hilbert spaces (“spin chains”), quantum …

We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

We study the scrambling of local quantum information in chaotic many-body systems in the
presence of a locally conserved quantity like charge or energy that moves diffusively. The …

The scrambling of quantum information in closed many-body systems, as measured by out-
of-time-ordered correlation functions (OTOCs), has received considerable attention lately …

Identifying universal properties of nonequilibrium quantum states is a major challenge in
modern physics. A fascinating prediction is that classical hydrodynamics emerges …

In ergodic many-body quantum systems, locally encoded quantum information becomes, in
the course of time evolution, inaccessible to local measurements. This concept of …