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A bound on chaos

- J. Maldacena, S. Shenker, D. Stanford
- Mathematics
- 4 March 2015

A bstractWe 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-of-time-order correlation… Expand

Remarks on the Sachdev-Ye-Kitaev model

- J. Maldacena, D. Stanford
- Physics
- 26 April 2016

The authors study in detail the quantum mechanical model of $N$ Majorana fermions with random interactions of a few fermions at a time (Sachdev-Ye-Kitaev model) in the large $N$ limit. At low… Expand

Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

- J. Maldacena, D. Stanford, Zhenbin Yang
- Physics
- 6 June 2016

We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The… Expand

JT gravity as a matrix integral

- Phil Saad, S. Shenker, D. Stanford
- Mathematics
- 26 March 2019

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 boundaries are of the… Expand

Black holes and the butterfly effect

- S. Shenker, D. Stanford
- Physics
- 3 June 2013

A bstractWe use holography to study sensitive dependence on initial conditions in strongly coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a small number… Expand

Replica wormholes and the black hole interior

- Geoffrey Penington, S. Shenker, D. Stanford, Zhenbin Yang
- PhysicsJournal of High Energy Physics
- 27 November 2019

Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the… Expand

Black holes and random matrices

- Jordan S. Cotler, Guy Gur-Ari,
+6 authors Masaki Tezuka - Physics
- 15 November 2016

A bstractWe 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 chaotic systems.… Expand

Diving into traversable wormholes

- J. Maldacena, D. Stanford, Zhenbin Yang
- Physics
- 18 April 2017

We study various aspects of wormholes that are made traversable by an interaction beween the two asymptotic boundaries. We concentrate on the case of nearly‐ AdS2 gravity and discuss a very simple… Expand

Complexity and Shock Wave Geometries

- D. Stanford, L. Susskind
- Mathematics
- 10 June 2014

In this paper we refine a conjecture relating the time-dependent size of an Einstein-Rosen bridge (ERB) to the computational complexity of the dual quantum state. Our refinement states that the… Expand

Stringy effects in scrambling

- S. Shenker, D. Stanford
- Physics
- 18 December 2014

A bstractIn [1] we gave a precise holographic calculation of chaos at the scrambling time scale. We studied the influence of a small perturbation, long in the past, on a two-sided correlation… Expand

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