Binary-coupling sparse SYK: an improved model of quantum chaos and holography

TL;DR

The paper introduces a binary-coupling sparse SYK model with fixed ±1 couplings, which better captures quantum chaos features and is more efficient for quantum simulations compared to previous models.

Contribution

It proposes a simplified binary-coupling version of the sparse SYK model that enhances spectral correlations and improves simulation efficiency.

Findings

Exhibits strong spectral correlations similar to the original SYK model.

Achieves quicker onset of random-matrix universality.

More suitable for quantum simulation of chaos and holography.

Abstract

The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of the original SYK model while reducing the number of disorder parameters. In this paper, we propose a further simplification of the model which we call the binary-coupling sparse SYK model. We set the nonzero couplings to be $\pm 1$, rather than being sampled from a continuous distribution such as Gaussian. Remarkably, this simplification turns out to be an improvement: the binary-coupling model exhibits strong correlations in the spectrum, which is the important feature of the original SYK model that leads to the quick onset of the random-matrix universality, more efficiently in terms of the number of nonzero terms. This model is better suited for analog or digital quantum simulations of quantum chaotic behavior and holographic metals due to its simplicity and scaling properties.