Random quantum circuits

MPA Fisher, V Khemani, A Nahum… - Annual Review of …, 2023 - annualreviews.org
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity

TG Mertens, GJ Turiaci - Living Reviews in Relativity, 2023 - Springer
We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable
model of quantum gravity in two dimensions (that arises eg from the s-wave sector of higher …

Large N algebras and generalized entropy

V Chandrasekaran, G Penington, E Witten - Journal of High Energy …, 2023 - Springer
A bstract We construct a Type II∞ von Neumann algebra that describes the large N physics
of single-trace operators in AdS/CFT in the microcanonical ensemble, where there is no …

Operator spreading in random unitary circuits

A Nahum, S Vijay, J Haah - Physical Review X, 2018 - APS
Random quantum circuits yield minimally structured models for chaotic quantum dynamics,
which are able to capture, for example, universal properties of entanglement growth. We …

Remarks on the sachdev-ye-kitaev model

J Maldacena, D Stanford - Physical Review D, 2016 - APS
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 …

Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws

CW von Keyserlingk, T Rakovszky, F Pollmann… - Physical Review X, 2018 - APS
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 …

Black holes and random matrices

JS Cotler, G Gur-Ari, M Hanada, J Polchinski… - Journal of High Energy …, 2017 - Springer
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 …

Effective theory for the measurement-induced phase transition of Dirac fermions

M Buchhold, Y Minoguchi, A Altland, S Diehl - Physical Review X, 2021 - APS
A wave function subject to unitary time evolution and exposed to measurements undergoes
pure state dynamics, with deterministic unitary and probabilistic measurement-induced state …

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

J Maldacena, D Stanford, Z Yang - Progress of Theoretical and …, 2016 - academic.oup.com
We study a two-dimensional dilaton gravity system, recently examined by Almheiri and
Polchinski, which describes near-extremal black holes, or more generally, nearly A d S 2 …

A bound on chaos

J Maldacena, SH Shenker, D Stanford - Journal of High Energy Physics, 2016 - Springer
A bstract We conjecture a sharp bound on the rate of growth of chaos in thermal quantum
systems with a large number of degrees of freedom. Chaos can be diagnosed using an out …