Chaos and random matrices in supersymmetric SYK

Autor: Nicholas Hunter-Jones, Junyu Liu
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 5, Pp 1-26 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2018)202
Popis: 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.
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