2000 character limit reached
Sparsity dependence of Krylov state complexity in the SYK model (2407.20569v2)
Published 30 Jul 2024 in hep-th, hep-lat, and quant-ph
Abstract: We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for $N \le 28$ Majorana fermions with $q$-body fermion interaction with $q=4,6,8$ for a range of sparse parameter $k$. Using the peak of the Krylov complexity as a probe, we find change in behavior as we vary $k$ for various $q$. We argue that this captures the change from holographic to non-holographic behavior in the sparse SYK-type models such that model is holographic for all $k \ge k_{\text{min}}$.
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