论文标题
一种新型的全息量子相变和蝴蝶速度
A novel holographic quantum phase transition and butterfly velocity
论文作者
论文摘要
在本文中，我们对Einstein-Maxwell-Dilaton轴（EMDA）模型中蝴蝶速度的相结构和行为进行了深入的探索。根据模型参数，在此模型中有两种驱动量子相变（QPT）的机制。一个是红色（IR）几何形状为重新归一化组（RG）不稳定，另一个是晶格变形的强度，导致某种分叉溶液。我们还在金属相中找到了一个新颖的QPT。关于蝴蝶速度越过QPT的行为的研究表明，蝴蝶速度或其第一个衍生物表现出局部极端的速度取决于QPT机制。此外，零温度极限中蝴蝶速度的缩放行为确认不同的相位由不同的IR几何形状控制。因此，蝴蝶速度是对QPT的良好探针，它还提供了一种研究QPT超出全息图的可能方法。
In this paper, we make a systematical and in-depth exploration on the phase structure and the behaviors of butterfly velocity in an Einstein-Maxwell-dilaton-axions (EMDA) model. Depending on the model parameter, there are two kinds of mechanisms driving quantum phase transition (QPT) in this model. One is the infrared (IR) geometry to be renormalization group (RG) unstable, and the other is the strength of lattice deformation leading to some kind of bifurcating solution. We also find a novel QPT in the metal phases. The study on the behavior of the butterfly velocity crossing QPT indicates that the butterfly velocity or its first derivative exhibiting local extreme depends on the QPT mechanism. Further, the scaling behaviors of the butterfly velocity in the zero-temperature limit confirm that different phases are controlled by different IR geometries. Therefore, the butterfly velocity is a good probe to QPT and it also provides a possible way to study QPT beyond holography.
