论文标题
二维扩展时空中的时间依赖性量子相关性
Time-dependent quantum correlations in two-dimensional expanding spacetime
论文作者
论文摘要
在扩展的宇宙中，纠缠熵必须是时间依赖的，因为背景几何形状随时间变化。为了了解量子相关性的时间演变，我们考虑了两个不同的全息模型，即DS边界模型和Braneworld模型。在这项工作中，我们着重于二维扩展的宇宙进行分析计算和比较。尽管两个全息模型以完全不同的方式实现了扩展宇宙，但我们表明它们在质量上依赖于永恒膨胀的时间依赖性。我们进一步研究了Braneworld模型的辐射主导时代的时间依赖性相关性。有趣的是，全息结果表明，在以子系统大小为特征的关键时间之后，扩展宇宙中的热系统是{\ it占用的}。
In expanding universes, the entanglement entropy must be time-dependent because the background geometry changes with time. For understanding time evolution of quantum correlations, we take into account two distinct holographic models, the dS boundary model and the braneworld model. In this work, we focus on two-dimensional expanding universes for analytic calculation and comparison. Although two holographic models realize expanding universes in totally different ways, we show that they result in the qualitatively same time-dependence for eternal inflation. We further investigate the time-dependent correlations in the radiation-dominated era of the braneworld model. Intriguingly, the holographic result reveals that a thermal system in the expanding universe is {\it dethermalized} after a critical time characterized by the subsystem size.
