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Quantum optical effective-medium theory and transformation quantum optics for metamaterials

机译:量子光学有效介质理论和超材料变换量子光学

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摘要

While typically designed to manipulate classical light, metamaterials have many potential applications for quantum optics as well. We argue why a quantum optical effective-medium theory is needed. We present such a theory for layered metamaterials that is valid for light propagation in all spatial directions, thereby generalizing earlier work for one-dimensional propagation. In contrast to classical effective-medium theory there is an additional effective parameter that describes quantum noise. Our results for metamaterials are based on a rather general Lagrangian theory for the quantum electrodynamics of media with both loss and gain. In the second part of this paper, we present a new application of transformation optics whereby local spontaneous-emission rates of quantum emitters can be designed. This follows from an analysis how electromagnetic Green functions transform under coordinate transformations. Spontaneous-emission rates can be either enhanced or suppressed using invisibility cloaks or gradient index lenses. Furthermore, the anisotropic material pro file of the cloak enables the directional control of spontaneous emission.
机译:虽然通常被设计为操纵经典光,但超材料也具有量子光学的许多潜在应用。我们争论为什么需要量子光学有效介质理论。我们提出了一种层状超材料的理论,该理论对于在所有空间方向上的光传播都是有效的,从而概括了一维传播的早期工作。与经典有效介质理论相反,存在描述量子噪声的附加有效参数。我们对超材料的研究结果基于具有损耗和增益的介质的量子电动力学的相当普遍的拉格朗日理论。在本文的第二部分中,我们介绍了变换光学的新应用,由此可以设计量子发射器的局部自发发射率。这是通过分析电磁格林函数如何在坐标转换下转换而得出的。使用隐形斗篷或渐变折射率镜片可提高或抑制自发发射率。此外,披风的各向异性材料特性使自发发射的方向控制成为可能。

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