标题： 有限温度和化学势下全息QCD模型中蝴蝶速度的比较研究 显示英文标题

标题： Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

摘要： 在这项工作中，我们研究了在有限温度和化学势下的各种全息QCD模型中的量子混沌。这包括1 R电荷黑洞(1RCBH)模型、2 R电荷黑洞(2RCBH)模型、基于势重构的解析自下而上模型以及数值自下而上模型。所有这些模型都是爱因斯坦-麦克斯韦-标量引力作用的不同表现形式，由它们特定的标量势和规范运动耦合函数区分。我们专注于使用三种不同的方法来计算混乱参数、蝴蝶速度：纠缠楔子重构、时序外有序关联函数(OTOCs)和极点跳跃。我们展示了这三种方法在所有考虑的全息QCD模型中对蝴蝶速度的计算结果相同，进一步确立了这三种方法之间的等价性。此外，我们详细分析了蝴蝶速度作为化学势和温度函数的行为。有趣的是，在所有模型中都出现了一个普遍趋势：对于热力学稳定相，蝴蝶速度随温度增加/化学势减小而增加/减少。另外，在高温极限下，所有模型中的蝴蝶速度趋近于无电荷等离子体的值。 显示英文摘要

摘要： In this work, we study quantum chaos in a variety of holographic QCD models at finite temperature and chemical potentials. This includes the 1 R-Charge black hole (1RCBH) model, the 2 R-Charge black hole (2RCBH) model, a potential reconstruction-based analytic bottom-up model, and a numerical bottom-up model. All these models are different avatars of the Einstein-Maxwell-dilaton gravity action, distinguished by their specific choices of dilaton potentials and gauge-kinetic coupling functions. We focus on computing the chaos parameter, the butterfly velocity, using three distinct methods: entanglement wedge reconstruction, out-of-time-ordered correlators (OTOCs), and pole-skipping. We show that all three methods yield identical results for the butterfly velocity across all the holographic QCD models considered, further establishing the equivalence between the three approaches. Furthermore, we analyze in detail the behavior of the butterfly velocity as a function of chemical potential and temperature. Interestingly, a universal trend emerges across all models: the butterfly velocity increases/decreases with temperature/chemical potential for thermodynamically stable phases. Additionally, in the high-temperature limit, the butterfly velocity in all models approaches that of the chargeless plasma.