黑洞蒸发的运动镜模型中的压缩量子态与伙伴模式
Squeezed quantum states and partner modes in the moving mirror model of black hole evaporation
AI总结：
本文以林德勒/米尔内模式重构运动镜模型，揭示黑洞蒸发运动镜模型中近似的起源为模式压缩效应，自然引入伙伴模式，还发现惯性观测者接收的辐射存在额外非平凡量子关联。
AI中文摘要：
已知（1+1）维时空中的标准运动镜模型可复现黑洞蒸发的若干量子特性。一面完全反射的加速镜可发射频率谱类似霍金辐射的辐射，不过这种对应仅在特定近似条件下成立；此外，标准的入-出公式并未提供与霍金辐射相关的伙伴模式的自然概念。本文中，我们以林德勒/米尔内模式重新构建运动镜模型，该构建不仅将所需近似的起源归因于模式压缩效应，还自然融入了伙伴模式的概念。进一步而言，作为这些模式压缩效应的结果，未来类光无穷远处的惯性观测者接收到的辐射，即便其频率谱近似遵循玻色-爱因斯坦或费米-狄拉克分布，仍表现出额外的非平凡量子关联。
英文摘要：
The standard moving mirror model in (1+1)-dimensional spacetime is known to reproduce several quantum aspects of black hole evaporation. A perfectly reflecting, accelerating mirror can emit radiation whose frequency spectrum resembles that of Hawking radiation, although this correspondence holds only under certain approximations. Moreover, the standard in-out formulation does not provide a natural notion of the partner modes associated with the Hawking radiation. In this paper, we reformulate the moving mirror model in terms of Rindler/Milne modes. This formulation not only attributes the origin of the required approximations to mode squeezing effects but also naturally incorporates the notion of partner modes. Furthermore, as a consequence of these mode squeezing effects, the radiation received by an inertial observer at future null infinity exhibits additional nontrivial quantum correlations, even though its frequency spectrum approximately follows a Bose--Einstein or Fermi--Dirac distribution.
