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arXiv quant-ph/0204126quant-phgr-qchep-th
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聚焦真空涨落II

Focusing Vacuum Fluctuations II

L. H. Ford, N. F. Svaiter

备注：
26 pages, 15 figures; additional discussion added in Sects. IV and IX
发表信息：
Phys.Rev.A66:062106,2002
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摘要：

在几何光学近似的背景下，进一步发展了存在抛物柱面镜的标量场和电磁场的量子化。我们在以前的文件中扩展到更一般的几何形状的结果，并纠正该文件的一个部分中的错误。本文计算了抛物柱面镜焦线附近的均方标量场和电场。发现这些量随着离焦点的距离的反幂而增长。我们给出了一个分析和数值结果的均方场的组合。特别是，我们发现，均方电场可以是负的或正的，这取决于参数的选择。负均方电场的情况对应于作用在焦点附近的原子上的排斥性范德华力，并且对应于负能量密度的区域。类似地，正值对应于吸引力和在焦点附近捕获原子的可能性。

英文摘要：

The quantization of the scalar and electromagnetic fields in the presence of a parabolic mirror is further developed in the context of a geometric optics approximation. We extend results in a previous paper to more general geometries, and also correct an error in one section of that paper. We calculate the mean squared scalar and electric fields near the focal line of a parabolic cylindrical mirror. These quantities are found to grow as inverse powers of the distance from the focus. We give a combination of analytic and numerical results for the mean squared fields. In particular, we find that the mean squared electric field can be either negative or positive, depending upon the choice of parameters. The case of a negative mean squared electric field corresponds to a repulsive Van der Waals force on an atom near the focus, and to a region of negative energy density. Similarly, a positive value corresponds to an attractive force and a possibility of atom trapping in the vicinity of the focus.

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