Scientific article
OA Policy
English

Eigenstate thermalization in the Sachdev-Ye-Kitaev model

Published inJournal of High Energy Physics, vol. 1711, p. 149-177
Collection
  • Open Access - SCOAP3
Publication date2017
Abstract

The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS 2 , the so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the eigenstate thermalization hypothesis by solving the system in exact diagonalization. Using these results we also study the behavior, in eigenstates, of various measures of thermalization and scrambling of information. We establish that two-point functions in finite-energy eigenstates approximate closely their thermal counterparts and that information is scrambled in individual eigenstates. We study both the eigenstates of a single random realization of the model, as well as the model obtained after averaging of the random disordered couplings. We use our results to comment on the implications for thermal states of a putative dual theory, i.e. the AdS 2 black hole.

Keywords
  • AdS-CFT Correspondence
  • Holography and condensed matter physics (AdS/CMT)
  • Models of Quantum Gravity
  • 2D Gravity
Citation (ISO format)
SONNER, Julian, VIELMA, Manuel. Eigenstate thermalization in the Sachdev-Ye-Kitaev model. In: Journal of High Energy Physics, 2017, vol. 1711, p. 149–177. doi: 10.1007/JHEP11(2017)149
Main files (1)
Article (Published version)
Identifiers
Journal ISSN1029-8479
468views
347downloads

Technical informations

Creation04/12/2017 13:42:30
First validation04/12/2017 13:42:30
Update time15/03/2023 02:31:19
Status update15/03/2023 02:31:19
Last indexation31/10/2024 08:54:45
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack