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arXiv 1107.2290quant-phphysics.atom-ph
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微球附近非平衡粒子的Casimir-Polder能级移动

Casimir-Polder energy level shifts of an out-of-equilibrium particle near a microsphere

Simen Å. Ellingsen, Stefan Yoshi Buhmann, Stefan Scheel

摘要:

近年来,里德伯原子和极冷分子束已成为非常有用的实验工具。因此,需要对这些颗粒与附近表面和结构之间的相互作用势进行可访问的计算,同时记住,颗粒与其环境远远不处于热平衡,并且它们的相互作用主要是非延迟的。基于一种新的关于光速的倒数和电导率的微扰展开,我们导出了一个简单的相互作用势的封闭形式的表达式(即,粒子和金属球的粒子能级偏移),其对于室温和更高温度下的典型实验设置而言精确度好于1%水平,并且在包括零的任何温度下偏离不超过百分之几。我们的结果阐明了延迟和不完美的导电性的影响,以及这些影响与几何形状的相互作用。为本研究开发的方法可应用于其他更复杂的几何形状。

英文摘要:

Rydberg atoms and beams of ultracold polar molecules have become highly useful experimental tools in recent years. There is therefore a need for accessible calculations of interaction potentials between such particles and nearby surfaces and structures, bearing in mind that the particles are far out of thermal equilibrium with their environment and that their interaction is predominantly non-retarded. Based on a new perturbative expansion with respect to the inverse speed of light and the inverse conductivity, we derive a simple, closed-form expression for the interaction potential (i.e., the particle energy level shifts) of a particle and a metallic sphere that is is accurate at better than 1% level for typical experimental set-ups at room temperature and above, and off by no more than a few percent at any temperature including zero. Our result illuminates the influence of retardation and imperfect conductivity and the interplay of these effects with geometry. The method developed for the present study may be applied to other, more complex geometries.

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