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. doi:10.1007/JHEP05(2018)202. https://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:

URL	URL Type	Description
https://doi.org/10.1007/JHEP05(2018)202	DOI	Article
https://arxiv.org/abs/1710.08184	arXiv	Discussion Paper

ORCID:

Author	ORCID
Liu, Junyu	0000-0003-1669-8039

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:

Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Simons Foundation	UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	PHY-1125565
Gordon and Betty Moore Foundation	GBMF-2644

Subject Keywords:

2D Gravity; AdS-CFT Correspondence; Matrix Models; Random Systems

Issue or Number:

DOI:

10.1007/JHEP05(2018)202

Record Number:

CaltechAUTHORS:20180601-081711482

Persistent URL:

https://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:

15 Nov 2021 20:41

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