Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
Abstract
The Sachdev-Ye-Kitaev (SYK) model is of paramount importance for the understanding of both strange metals and a microscopic theory of two-dimensional gravity. We study the interplay between Stabilizer R\'enyi Entropy (SRE) and entanglement entropy in both the ground state and highly excited states of the SYK4+SYK2 model interpolating the highly chaotic four-body interactions model with the integrable two-body interactions one. The interplay between these quantities is assessed also through universal statistics of the entanglement spectrum and its anti-flatness. We find that SYK4 is indeed characterized by a complex pattern of both entanglement and non-stabilizer resources while SYK2 is non-universal and not complex. We discuss the fragility and robustness of these features depending on the interpolation parameter.
Cite
@article{arxiv.2502.03093,
title = {Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model},
author = {Barbara Jasser and Jovan Odavić and Alioscia Hamma},
journal= {arXiv preprint arXiv:2502.03093},
year = {2025}
}