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 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” …

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-
dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The …

A bstract Krylov complexity measures the spread of the wavefunction in the Krylov basis,
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …

We generalize the recently discovered relationship between JT gravity and double-scaled
random matrix theory to the case that the boundary theory may have time-reversal symmetry …

Holographic quantum matter exhibits an intriguing connection between quantum black holes
and more conventional (albeit strongly interacting) quantum many-body systems. This …

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 …

In finite entropy systems, real-time partition functions do not decay to zero at late time.
Instead, assuming random matrix universality, suitable averages exhibit a growing" ramp" …

A bstract The Sachdev-Ye-Kitaev model is a (0+ 1)-dimensional model describing Majorana
fermions or complex fermions with random interactions. This model has various interesting …