Partner formula for an arbitrary moving mirror in 1+1 dimensions
Partner formula for an arbitrary moving mirror in 1+1 dimensions
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1 1 维任意移动镜的伙伴公式
DOI：
10.1103/physrevd.101.024003
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发表时间：
2020
影响因子：
5
通讯作者：
Hotta Masahiro
中科院分区：
文献类型：
--
作者：
Tomitsuka Takeshi;Yamaguchi Koji;Hotta Masahiro
在黑洞蒸发的信息损失问题中，霍金粒子的净化伙伴的研究是至关重要的。维球对称引力坍缩可以用维动镜模型来模拟，这是一个众所周知的事实。由于在场论中被探测到的粒子是由粒子探测器所观测到的来定义的，所以探测器设计的多样性产生了各种各样的粒子和它们的伙伴。在自由无质量标量场理论中，对任意高斯态，给出了从镜面发射出的任意运动的被探测粒子的广义伙伴的计算公式。使用我们的公式，我们直接证明了信息存储的初始相位信息在一个纯态的检测粒子和它的合作伙伴。伙伴的形式根据霍金辐射粒子探测器的详细设计而发生巨大变化。在被探测粒子及其伙伴对初始相位信息敏感的情况下，伙伴的空间构型在只有零点波动从镜中发射出来的阶段具有长尾。
In the information loss problem in black hole evaporation, the investigation of the purification partner of a Hawking particle is crucial. It is a well-known fact that thedimensional spherically symmetric gravitational collapse can be mimicked bydimensional moving mirror models. Since a detected particle in field theory is defined by what a particle detector observes, the diversity of detector designs yields a variety of particles and their partners. We provide a formula of generalized partners of detected particles emitted out of mirrors in an arbitrary motion for any Gaussian state in a free massless scalar field theory. Using our formula, we directly demonstrate information storage about initial phase information in a pure state of a detected particle and its partner. The form of the partner drastically changes depending on the detailed designs of particle detectors for Hawking radiation. In the case of a detected particle and its partner sensitive to information about initial phase, spatial configurations of the partner has long tails in a stage where only zero-point fluctuation is emitted out of the mirror.