论文标题

稀疏SYK模型中的光谱形式

Spectral Form Factor in Sparse SYK Models

论文作者

Cáceres, Elena, Misobuchi, Anderson, Raz, Amir

论文摘要

我们研究了稀疏的sachdev-ye-kitaev模型的光谱形式。我们使用数值方法来确定在中间时间,光谱形式的连接部分是主要的。这些相关的贡献是由于围绕断开的几何形状的波动而产生的,而不是来自新的马鞍点。先前在SYK中猜想了类似的效果,但需要$ n $的值才能达到当前数值模拟。

We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected geometry, not from a new saddle point. A similar effect was previously conjectured in SYK but required a value of $N$ out of reach of current numerical simulations.

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