Binary-coupling sparse Sachdev-Ye-Kitaev model: An improved model of quantum chaos and holography
Binary-coupling sparse Sachdev-Ye-Kitaev model: An improved model of quantum chaos and holography
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DOI：
10.1103/physrevb.107.l081103
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发表时间：
2022-08
影响因子：
3.7
通讯作者：
Masaki Tezuka;Onur Oktay;E. Rinaldi;M. Hanada;F. Nori
中科院分区：
文献类型：
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作者：
Masaki Tezuka;Onur Oktay;E. Rinaldi;M. Hanada;F. Nori
Sachdev-Ye-Kitaev （SYK）模型的稀疏版本再现了原始SYK模型的基本特征，同时减少了无序参数的数量。在本文中，我们提出了该模型的进一步简化，我们称之为二元耦合稀疏SYK模型。我们将非零耦合设置为$\pm 1$，而不是从连续分布（如高斯分布）中采样。值得注意的是，这种简化被证明是一种改进：二元耦合模型在谱中表现出强相关性，这是原始SYK模型的重要特征，它导致随机矩阵通用性的快速开始，在非零项的数量方面更有效。由于其简单性和标度性，该模型更适合于量子混沌行为和全息金属的模拟或数字量子模拟。
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.