Recently, we have developed a unified approach to QED in arbitrary linearly responding media in equilibrium--media that give rise to absorption [Phys. Rev. A \textbf{75}, (2007) 053813]. In the present paper we show that, under appropriate conditions, the theory can be quite naturally generalized to amplifying media the effect of which is described within the framework of linear response theory. We discuss the limits of validity of the generalized theory and make contact with earlier quantization schemes suggested for the case of linearly and locally responding amplifying dielectric-type media. To illustrate the theory, we present the electromagnetic-field correlation functions that determine the Casimir force in the presence of amplifying media.
Loophole-free Bell-inequality violation between atomic states in cavity-QED systems mediated by hybrid atom-light entanglement
Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）；NextQuantum Innovation Research Center, Department of Physics & Astronomy, Seoul National University（首尔大学物理与天文学系 NextQuantum 创新中心）；Department of Physics, SRM University, Amaravati, Andhra Pradesh - 522540, India（印度安得拉邦阿马拉瓦蒂 SRM 大学物理系）；National Institute of Informatics（国立情报学研究所）
QED commutation relations for inhomogeneous Kramers-Kronig dielectrics
最近，非均匀三维色散吸收介质中全电磁场的唯象Maxwell理论的量子化方案已经被发展并应用于由两个具有公共平面界面的无限半空间组成的系统（H. T.当湖Knoell和D.- G. Welsch，Phys.Rev.A57，出版中）。在这里，我们表明，该计划，这是基于经典的格林张量积分表示的电磁场，适用于任何非均匀介质。为了这个目的，我们证明了QED的基本的等时对易关系是保持一个任意的空间依赖，Kramers-Kronig一致的介电常数。此外，扩展的量化方案的线性介质与有界区域的放大，并简要地解决各向异性介质的问题。
