Temperature-independent Casimir-Polder forces in arbitrary geometries

Temperature-independent Casimir-Polder forces in arbitrary geometries
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任意几何形状中与温度无关的卡西米尔-波尔德力

DOI:
10.1103/physreva.84.060501
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发表时间:
2011
期刊:
影响因子:
2.9
通讯作者:
S. Scheel
S. Scheel
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Ellingsen;S. Buhmann;S. Scheel

文献摘要

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我们证明了一个处于能量本态的粒子的非迟滞卡西米尔-波德势(即处于热非平衡态)与任意形状的良好导体的环境温度无关。即使在相关原子跃迁能处的热光子数很大时也是如此。得到了与温度无关的势的紧凑表达式,可以大大简化实验相关体系(如里德伯原子和极性分子)的非平凡几何计算。我们给出了与温度无关的结果的有效性准则,并推导了其主要修正的一般表达式。它们由靠近金球或在金圆柱腔内的粒子的数值研究来说明。
We prove that the nonretarded Casimir-Polder potential of a particle in an energy eigenstate (hence in thermal nonequilibrium) is independent of the environment temperature for a well-conducting body of arbitrary shape. This is true even when the thermal photon numbers at the relevant atomic transition energies are large. A compact expression is obtained for the temperature-independent potential, which can greatly simplify calculations in nontrivial geometries for experimentally relevant systems such as Rydberg atoms and polar molecules. We give criteria for the validity of our temperature-independent result and derive general expressions for its leading corrections. They are illustrated by numerical studies of a particle near a gold sphere or inside a gold cylindrical cavity.