An introduction to the SYK model

V Rosenhaus - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
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 …

JT gravity and the ensembles of random matrix theory

D Stanford, E Witten - arXiv preprint arXiv:1907.03363, 2019 - arxiv.org
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 …

Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Symmetry of open quantum systems: Classification of dissipative quantum chaos

K Kawabata, A Kulkarni, J Li, T Numasawa, S Ryu - PRX Quantum, 2023 - APS
We develop a theory of symmetry in open quantum systems. Using the operator-state
mapping, we characterize symmetry of Liouvillian superoperators for the open quantum …

A semiclassical ramp in SYK and in gravity

P Saad, SH Shenker, D Stanford - arXiv preprint arXiv:1806.06840, 2018 - arxiv.org
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" …

Symmetry classification and universality in non-Hermitian many-body quantum chaos by the Sachdev-Ye-Kitaev model

AM García-García, L Sá, JJM Verbaarschot - Physical Review X, 2022 - APS
Spectral correlations are a powerful tool to study the dynamics of quantum many-body
systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix …

Lindbladian dissipation of strongly-correlated quantum matter

L Sá, P Ribeiro, T Prosen - Physical Review Research, 2022 - APS
We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of
dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions …

The Schwarzian theory—origins

TG Mertens - Journal of High Energy Physics, 2018 - Springer
In this paper we further study the 1d Schwarzian theory, the universal low-energy limit of
Sachdev-Ye-Kitaev models, using the link with 2d Liouville theory. We provide a path …

= 2 JT supergravity and matrix models

GJ Turiaci, E Witten - Journal of High Energy Physics, 2023 - Springer
A bstract Generalizing previous results for\(\mathcal {N}\)= 0 and\(\mathcal {N}\)= 1, we
analyze\(\mathcal {N}\)= 2 JT supergravity on asymptotically AdS 2 spaces with arbitrary …

Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model

AM García-García, L Sá, JJM Verbaarschot - Physical Review D, 2023 - APS
Spectral rigidity in Hermitian quantum chaotic systems signals the presence of dynamical
universal features at timescales that can be much shorter than the Heisenberg time. We …