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 …

Controllable arrays of ions and ultracold atoms can simulate complex many-body
phenomena and may provide insights into unsolved problems in modern science. To this …

The idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of
both condensed matter systems and gravitational systems. It not only plays a key role in …

We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of
fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian …

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

We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev (SYK) model. These
are quantum mechanical models involving N Majorana fermions. The supercharge is given …

A bstract The SYK model: fermions with a q-body, Gaussian-random, all-to-all interaction, is
the first of a fascinating new class of solvable large N models. We generalize SYK to include …

A bstract We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit.
Following our formulation in terms of bi-local collective fields with dynamical …

We evaluate the finite temperature partition sum and correlation functions of the Sachdev–
Ye–Kitaev (SYK) model. Starting from a recently proposed mapping of the SYK model onto …