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arXiv 1209.3288quant-phcond-mat.otherphysics.atom-ph
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各向异性极化材料附近的量子电动力学：多层石墨烯附近的Casimir-Polder位移

Quantum electrodynamics near anisotropic polarizable materials: Casimir-Polder shifts near multi-layers of graphene

Claudia Eberlein, Robert Zietal

备注：
17 pages, 7 figures
发表信息：
Phys. Rev. A 86, 062507 (2012)
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摘要：

在最近的一篇论文中，我们已经制定了一个非相对论量子电动力学在非均匀的Huttner-Barnett电介质的存在下的理论。在这里，我们概括的形式主义各向异性材料，并显示如何可以修改，包括导电表面。我们从推导一个平板材料的光子传播子开始，并用它来计算在平行于表面方向的电导率远远超过垂直于表面方向的电导率的介质附近的能级位移。我们调查的各向异性的材料的电磁响应的Casimir-Polder位移的影响，分析和数值计算，并表明，它可能有显着的影响，特别是在非延迟制度，即小原子表面分离的原子-表面相互作用。我们的结果可以用来估计Casimir-Polder力的量子物体接近的多层石墨烯或石墨。它们是特别重要的情况下，被困的冷分子的色散与表面的相互作用往往属于非延迟制度的材料的各向异性强烈影响的Casimir-Polder力。我们还给出了各向异性导电表面附近受激原子或分子自发衰变率变化的公式。

英文摘要：

In a recent paper we have formulated a theory of non-relativistic quantum electrodynamics in the presence of an inhomogeneous Huttner-Barnett dielectric. Here we generalize the formalism to anisotropic materials and show how it may be modified to include conducting surfaces. We start with the derivation of the photon propagator for a slab of material and use it to work out the energy-level shift near a medium whose conductivity in the direction parallel to the surface far exceeds that in the direction perpendicular to the surface. We investigate the influence of the anisotropy of the material's electromagnetic response on the Casimir-Polder shifts, both analytically and numerically, and show that it may have a significant impact on the atom-surface interaction, especially in the non-retarded regime, i.e. for small atom-surface separations. Our results for the energy shift may be used to estimate the Casimir-Polder force acting on quantum objects close to multilayers of graphene or graphite. They are particularly important for the case of trapped cold molecules whose dispersive interactions with surfaces often fall within the non-retarded regime where the anisotropy of the material strongly influences the Casimir-Polder force. We also give a formula for the change in the spontaneous decay rate of an excited atom or molecule near an anisotropically conducting surface.

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