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On thermalization in the SYK and supersymmetric SYK models

Hunter-Jones, Nicholas and Liu, Junyu and Zhou, Yehao (2018) On thermalization in the SYK and supersymmetric SYK models. Journal of High Energy Physics, 2018 (2). Art. No. 142. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20171011-191649202

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Abstract

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. We discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP02(2018)142DOIArticle
https://link.springer.com/article/10.1007%2FJHEP02%282018%29142PublisherArticle
http://arxiv.org/abs/1710.03012arXivDiscussion Paper
Additional Information:© 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: November 19, 2017; Accepted: February 7, 2018; Published: February 22, 2018. We thank Fernando Brandão, Tarun Grover, Jenia Mozgunov, Burak Şahinoğlu, David Simmons-Duffin, and Beni Yoshida, as well as the attendees of the Institute for Quantum Information (IQI) group meetings at Caltech, for valuable discussion and comments. We especially thank Yuan Xin for help on down-sampling the plots. NHJ acknowledges support from the Simons Foundation through the "It from Qubit" collaboration as well as from the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644). JL is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. YZ is supported by the graduate student program at the Perimeter Institute.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-2644
Department of Energy (DOE)DE-SC0011632
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
SCOAP3UNSPECIFIED
Subject Keywords:2D Gravity; AdS-CFT Correspondence; Black Holes; Random Systems
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2017-052
Record Number:CaltechAUTHORS:20171011-191649202
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171011-191649202
Official Citation:Hunter-Jones, N., Liu, J. & Zhou, Y. J. High Energ. Phys. (2018) 2018: 142. https://doi.org/10.1007/JHEP02(2018)142
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82302
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:12 Oct 2017 16:15
Last Modified:27 Feb 2018 18:24

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