Motivated by the fact that the null-shell of a collapsing black hole can be described by a perfectly reflecting accelerating mirror, we investigate an extension of this model to mirror semi-transparency and derive a general implicit expression for the corresponding Bogoliubov coefficients. Then, we turn this into an explicit analytical form by focusing on mirrors that are accelerated via an impulsive force. From the so-obtained Bogoliubov coefficients we derive the particle production. Finally, we realize the field coming from left-past spacetime region, passing through the semitransparent moving mirror and ending up to right-future spacetime region as undergoing the action of a Gaussian quantum channel. We study the transmission and noisy generation properties of this channel, relating them to the Bogoliubov coefficients of the mirror's motion, through which we evaluate capacities in transmitting classical and quantum information.
Non-existence of isometry-invariant Hadamard states for a Kruskal black hole in a box and for massless fields on 1+1 Minkowski spacetime with a uniformly accelerating mirror
我们猜想(当阿达玛态的概念被适当地采用时),对于定义在右史瓦西楔形中的常数史瓦西半径的表面左边的Kruskal时空区域上的有质量或无质量协变Klein-Gordon方程,当Dirichlet边界条件放在该表面上时,不存在等距不变的阿达玛态。我们还证明了,通过适当定义“升压不变Hadamard态”(我们称之为“强助推不变的全球阿达玛”),它既考虑了类时边界的存在和特殊的无质量1+1红外病理学,在1+1闵可夫斯基空间的区域上,在一个永远均匀加速的镜子的左边,无质量的波动方程不存在这样的状态--Dirichlet边界条件这个结果是重要的,因为如果在左楔中也有一个对称放置的减速反射镜(并且排除该反射镜左侧的区域),则这种状态确实存在。我们期望一个类似的存在结果,以保持Kruskal时,有对称放置的球形盒在右和左史瓦西楔。我们的Kruskal no-go猜想提出了关于在黑洞热力学中考虑的盒子中的黑洞的基本问题。如果是真的,它将进一步支持B. S.凯'封闭地平线的不稳定性',将军Rel。重力47,1-27(2015)(arXiv:1310.7395),对于经典时空来说,最接近于描述盒子中处于平衡状态的黑洞的东西是外史瓦西解,经典时空图像在视界附近破裂。附录指出存在的,并部分填补了空白的证明定理在BS。凯和R. M. Wald Phys.Rep.207,49-136(1991)。
Squeezed quantum states and partner modes in the moving mirror model of black hole evaporation
Asia Pacific Center for Theoretical Physics(亚太理论物理中心);Leung Center for Cosmology and Particle Astrophysics, National Taiwan University(国立台湾大学梁式科学宇宙学与粒子天体物理学中心);Department of Physics and Center for Theoretical Sciences, National Taiwan University(国立台湾大学物理系与理论科学中心);Graduate Institute of Astrophysics, National Taiwan University(国立台湾大学天文研究所);Kavli Institute for Particle Astrophysics and Cosmology, SLAC National Accelerator Laboratory, Stanford University(斯坦福大学SLAC国家加速器实验室卡弗里粒子天体物理学与宇宙学研究所);Physics Department & Energetic Cosmos Laboratory, Nazarbayev University(纳扎尔巴耶夫大学物理系与活力宇宙实验室);Beyond Center for Fundamental Concepts in Science, Arizona State University(亚利桑那州立大学超越基础科学概念中心);Department of Physics, Nagoya University(名古屋大学物理系);Kansai Institute for Photon Science (KPSI), National Institute for Quantum Science and Technology (QST)(日本量子科学技术研究院光子科学关西研究所)