论文标题
量子混乱和质量变形SYK模型的热力学的急剧过渡
A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
论文作者
论文摘要
我们回顾了我们最近的工作[Arxiv：2009.10759]，在那里我们研究了两个耦合的Sachdev-Ye-Kitaev系统的混乱特性，这些系统表现出鹰式页面，例如相变。通过使用双向磁场形式主义，通过在较大的n个限制中计算超级订购的相关器，我们发现该模型的混乱指数在相变温度下显示出不连续的下降。因此，在该模型中，鹰式页面类似的转变与混沌性的过渡相关，这是从黑洞几何形状与双重场理论中的混沌行为之间的关系所预期的。
We review our recent work [arXiv:2009.10759] where we studied the chaotic property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page like phase transition. By computing the out-of-time-ordered correlator in the large N limit by using the bilocal field formalism, we found that the chaos exponent of this model shows a discontinuous fall-off at the phase transition temperature. Hence in this model the Hawking-Page like transition is correlated with a transition in chaoticity, as expected from the relation between a black hole geometry and the chaotic behavior in the dual field theory.
