We use a combination of analytical and numerical methods to study out-of-time order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a given order of
Relating Euclidean correlators and light-cone correlators beyond leading twist
- Award ID(s):
- 2110472
- NSF-PAR ID:
- 10341469
- Date Published:
- Journal Name:
- Proceedings of Lattice2021 Symposium
- Page Range / eLocation ID:
- 105
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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A bstract N , the standard result for theq -local, all-to-all SYK, obtained through the sum over ladder diagrams, is corrected by a series in the sparsity parameter,k . We present an algorithm to sum the diagrams at any given order of 1/ (kq )n . We also study OTOCs numerically as a function of the sparsity parameter and determine the Lyapunov exponent. We find that numerical stability when extracting the Lyapunov exponent requires averaging over a massive number of realizations. This trade-off between the efficiency of the sparse model and consistent behavior at finiteN becomes more significant for larger values ofN .