We study thermodynamic phase transitions between integrable and chaotic dynamics. We do so by analyzing models that interpolate between the chaotic double scaled Sachdev-Ye-Kitaev (SYK) and the integrable p-spin systems, in a limit where they are described by chord diagrams. We develop a path integral formalism by coarse graining over the diagrams, which we use to argue that the system has two distinct phases: one is continuously connected to the chaotic system, and the other to the integrable. They are separated by a line of first order transition that ends at some finite temperature. Published by the American Physical Society 2024

中文翻译：

---

通过和弦路径积分在双缩放 Sachdev-Ye-Kitaev 模型中从混沌到可积性


我们研究可积动力学和混沌动力学之间的热力学相变。我们通过分析在混沌双缩放 Sachdev-Ye-Kitaev （SYK） 和可积 p-spin 系统之间插值的模型来做到这一点，在弦图描述它们的极限内。我们通过对图进行粗粒度化来发展一种路径积分形式主义，我们用它来论证系统有两个不同的阶段：一个持续连接到混沌系统，另一个连接到可积系统。它们由一条在某个有限温度下结束的一阶跃迁线分隔。 美国物理学会 2024 年出版