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Chaos and random matrices in supersymmetric SYK

Hunter-Jones, Nicholas and Liu, Junyu (2018) Chaos and random matrices in supersymmetric SYK. Journal of High Energy Physics, 2018 (5). Art. No. 202. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20180601-081711482

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Abstract

We use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random matrix classification, we consider the Wishart-Laguerre unitary ensemble and compute the spectral form factors and frame potentials to quantify chaos and randomness. Compared to the Gaussian ensembles, we observe the absence of a dip regime in the form factor and a slower approach to Haar-random dynamics. We find agreement between our random matrix analysis and predictions from the supersymmetric SYK model, and discuss the implications for supersymmetric chaotic systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP05(2018)202DOIArticle
https://arxiv.org/abs/1710.08184arXivDiscussion Paper
ORCID:
AuthorORCID
Liu, Junyu0000-0003-1669-8039
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: January 30, 2018; Revised: May 18, 2018; Accepted: May 25, 2018; Published: May 30, 2018. We thank Beni Yoshida for helpful discussions. 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).
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-2644
Subject Keywords:2D Gravity; AdS-CFT Correspondence; Matrix Models; Random Systems
Record Number:CaltechAUTHORS:20180601-081711482
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180601-081711482
Official Citation:Hunter-Jones, N. & Liu, J. J. High Energ. Phys. (2018) 2018: 202. https://doi.org/10.1007/JHEP05(2018)202
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86733
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Jun 2018 16:12
Last Modified:01 Jun 2018 16:12

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