携带量子信息的Hawking辐射

Carried the quantum information Hawking radiation

首先利用Bogoliubov变换导出了Kruskal真空态与Schwarzschild真空态之间的联系,并把双模压缩幺正算符作用在Schwarzschild真空态上,得到了Kruskal真空态为Schwarzschild时空中的双模压缩真空态,并且可表示成纠缠态的形式,对应粒子的纠缠分别在视界的内部和外部区域.利用纠缠态进一步研究了Schwarzschild黑洞的Hawking辐射,得到了辐射率与Bekenstein-Hawking熵变有关,说明在黑洞辐射过程中携带量子信息是有可能的.

The relation between Kruskal vacuum state and Schwarzschild vacuum state is firstly obtained by the Bogolyubov transformation. The Kruskal vacuum state is derived by acting by two-mode squeezing unitary operator on Schwar- zschild vacuum state, which is a two-mode squeezing vacuum state in the Schwarzschild space-time. Kruskal vacuum state is proved to an entangle state, corresponding to the entanglement of particles inside and outside of the horizon. By Kruskal vacuum state, such entangle state, we further study the black hole Hawking radiation and get the conclusion that the radiation rate is related to the change of the Bekenstein-Hawking entropy, which implies that the black hole radiation process carried the quantum information is possible.