论文标题
从最大混沌性到整合性的路线
A route from maximal chaoticity to integrability
论文作者
论文摘要
我们研究了Sachdev-Ye-Kitaev（Syk）模型的某些变体的混乱指数，即$ \ ns = 1 $ supersymmetry（SUSY）-syk及其同胞模型，即$（N | M）$ - SYK模型，这不是超级赞的，对于一般而言，对于自会上的相互作用强度而言，这不是SuperSymetric。我们发现，对于大$ q $，这些变体的混乱指数以及SYK和$ \ ns = 2 $ susy-syk型号均遵循单参数缩放定律。通过定量论点，我们进一步做出了一个猜想，即发现的比例定律可能适用于具有$ Q $的一般一维（1D）类似Syk的模型。这指出了从Maximal Chaos到SYK模型及其1D变体中完全常规或可整合运动的通用途径。
We study the chaos exponent of some variants of the Sachdev-Ye-Kitaev (SYK) model, namely, the $\Ns=1$ supersymmetry (SUSY)-SYK model and its sibling, the $(N|M)$-SYK model which is not supersymmetric in general, for arbitrary interaction strength. We find that for large $q$ the chaos exponent of these variants, as well as the SYK and the $\Ns=2$ SUSY-SYK model, all follow a single-parameter scaling law. By quantitative arguments we further make a conjecture, i.e. that the found scaling law might hold for general one-dimensional (1D) SYK-like models with large $q$. This points out a universal route from maximal chaos towards completely regular or integrable motion in the SYK model and its 1D variants.
