论文标题
Syk可穿越的虫洞的混乱指数
Chaos exponents of SYK traversable wormholes
论文作者
论文摘要
在本文中，我们研究了混乱指数，即在两个耦合的SYK模型中，在两个耦合的SYK模型中表现出高温黑洞相位和低温损失相之间的一阶相变，该指数的指数增长率被解释为可遍布的蠕虫孔。我们看到，随着温度降低，混乱指数在相变临界温度下的通用界限$2π/β$与阶的值相差不连续，这与黑洞和强混乱之间的预期关系一致。有趣的是，即使在虫洞阶段，混乱指数也很小，但也不为零。这是令人惊讶的，但与对两个点函数的衰减速率的观察[arxiv：2003.03916]一致，我们发现混乱指数和衰减速率确实遵守了该方案中相同的温度依赖性。我们还研究了具有单个SYK项的密切相关模型的混乱指数，并发现该模型的混乱指数始终大于整个参数空间中两个耦合模型的混乱指数。
In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound $2π/β$ at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong chaos. Interestingly, the chaos exponent is small but non-zero even in the wormhole phase. This is surprising but consistent with the observation on the decay rate of the two point function [arXiv:2003.03916], and we found the chaos exponent and the decay rate indeed obey the same temperature dependence in this regime. We also studied the chaos exponent of a closely related model with single SYK term, and found that the chaos exponent of this model is always greater than that of the two coupled model in the entire parameter space.
