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arXiv quant-ph/0406221quant-ph
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磁介电体附近的原子:范德华能和Casimir Polder力

Atoms near magnetodielectric bodies: van-der-Waals energy and Casimir-Polder force

S. Y. Buhmann, Ho Trung Dung, T. Kampf, L. Knöll, D. -G. Welsch

摘要:

基于线性因果介质中的宏观QED,我们提出了一个关于Casimir Polder力作用于位于色散和吸收磁介质附近的原子的自洽理论。范德华能量的微扰结果显示出有趣的新功能中存在的磁介电体。为了超越微扰理论,我们从质心运动方程出发,推导出作用于处于任意电子态的原子上的Casimir-Polder力的动力学表达式。对于非驱动原子在弱耦合制度,作为时间的函数的力被证明是在选定的时间与电子密度矩阵元素的力分量的叠加。这些力的分量取决于原子的位置相关的极化率,正确地解释了体诱导的能级移动和加宽。

英文摘要:

Based on macroscopic QED in linear, causal media, we present a consistent theory for the Casimir-Polder force acting on an atom positioned near dispersing and absorbing magnetodielectric bodies. The perturbative result for the van-der-Waals energy is shown to exhibit interesting new features in the presence of magnetodielectric bodies. To go beyond perturbation theory, we start with the center-of-mass equation of motion and derive a dynamical expression for the Casimir-Polder force acting on an atom prepared in an arbitrary electronic state. For a non-driven atom in the weak coupling regime, the force as a function of time is shown to be a superposition of force components that are related to the electronic density matrix elements at chosen time. These force components depend on the position-dependent polarizability of the atom that correctly accounts for the body-induced level shifts and broadenings.

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