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 …

Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …

We study a quantum-mechanical model proposed by Sachdev, Ye and Kitaev. The model
consists of N Majorana fermions with random interactions of a few fermions at a time. It it …

A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter
(AdS) black holes is governed by the random matrix dynamics characteristic of quantum …

We propose a measure of quantum state complexity defined by minimizing the spread of the
wave function over all choices of basis. Our measure is controlled by the “survival amplitude” …

A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

We revisit two-dimensional holography with the Sachdev-Ye-Kitaev models in mind. Our
main result is to rewrite a generic theory of gravity near a two-dimensional anti-de Sitter …

A bstract We study chaos and scrambling in unitary channels by considering their
entanglement properties as states. Using out-of-time-order correlation functions to diagnose …

A bstract The SYK model consists of N≫ 1 fermions in 0+ 1 dimensions with a random, all-to-
all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic …

A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the
evolution of systems from integrability to chaos. For this purpose we investigate the …