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Spectral form factor in sparse SYK models

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Univ. of Texas, Austin, TX (United States); University of Texas at Austin
  2. Univ. of Texas, Austin, TX (United States)
We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected geometry, not from a new saddle point. A similar effect was previously conjectured in SYK but required a value of N out of reach of current numerical simulations.
Research Organization:
Univ. of Texas, Austin, TX (United States)
Sponsoring Organization:
National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC)
Grant/Contract Number:
SC0022021
OSTI ID:
1922356
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2022; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (21)

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Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N journal September 2017
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Many-Body Chaos in the Sachdev-Ye-Kitaev Model journal January 2021
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