标题： 爱因斯坦-麦克斯韦-轴子-霍恩德斯基理论中的混合态纠缠与输运 显示英文标题

标题： Mixed-State Entanglement and Transport in Einstein-Maxwell-Axion-Horndeski Theory

摘要： 我们对爱因斯坦-麦克斯韦-轴子-霍恩德斯基理论中输运性质与量子纠缠度量之间的关系进行了全面研究。 通过全息对偶性，我们研究了该模型的纠缠度量（全息纠缠熵(HEE)和纠缠楔交叉截面(EWCS)）以及输运系数，并分析了它们对自由参数的依赖性，我们将这些自由参数分类为作用量参数、可观测量参数和轴子因子。 我们发现HEE和EWCS相对于可观测量参数（电荷和温度）以及轴子因子表现出不同的行为，这表明它们捕捉到了不同类型的量子关联。 我们还发现，HEE与电荷和热激发呈正相关，而EWCS与电荷相关的电导率和热涨落呈负相关。 此外，我们发现作为标准引力理论修正项的霍恩德斯基耦合项并未改变电导率和纠缠度量的基本行为。 显示英文摘要

摘要： We present a comprehensive study exploring the relationship between transport properties and measures of quantum entanglement in the Einstein-Maxwell-Axion-Horndeski theory. By using holographic duality, we study the entanglement measures, holographic entanglement entropy (HEE) and entanglement wedge cross-section (EWCS), and transport coefficients, for this model and analyze their dependence on free parameters which we classify into action parameter, observable parameters and axion factor. We find contrasting behaviors between HEE and EWCS with respect to observable parameters (charge and temperature), and the axion factor, indicating that they capture different types of quantum correlations. We also find that HEE exhibits positive correlation with both charge and thermal excitations, whereas EWCS exhibits a negative correlation with charge-related conductivities and thermal fluctuations. Furthermore, we find that the Horndenski coupling term, as the modification to standard gravity theory, does not change the qualitative behaviors of the conductivities and the entanglement measures.