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Title: On thermalization in the SYK and supersymmetric SYK models

The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its N = 1 supersymmetric extension and find evidence that these models satisfy ETH. In conclusion, we discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.
Authors:
 [1] ;  [2] ;  [3]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Univ. of Waterloo, Waterloo, ON (Canada). Dept. of Physics and Astronomy
Publication Date:
Grant/Contract Number:
SC0011632
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
California Inst. of Technology, Pasadena, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 2D Gravity; AdS-CFT Correspondence; Black Holes; Random Systems
OSTI Identifier:
1499664

Hunter-Jones, Nicholas, Liu, Junyu, and Zhou, Yehao. On thermalization in the SYK and supersymmetric SYK models. United States: N. p., Web. doi:10.1007/jhep02(2018)142.
Hunter-Jones, Nicholas, Liu, Junyu, & Zhou, Yehao. On thermalization in the SYK and supersymmetric SYK models. United States. doi:10.1007/jhep02(2018)142.
Hunter-Jones, Nicholas, Liu, Junyu, and Zhou, Yehao. 2018. "On thermalization in the SYK and supersymmetric SYK models". United States. doi:10.1007/jhep02(2018)142. https://www.osti.gov/servlets/purl/1499664.
@article{osti_1499664,
title = {On thermalization in the SYK and supersymmetric SYK models},
author = {Hunter-Jones, Nicholas and Liu, Junyu and Zhou, Yehao},
abstractNote = {The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its N = 1 supersymmetric extension and find evidence that these models satisfy ETH. In conclusion, we discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.},
doi = {10.1007/jhep02(2018)142},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}