A formalism for studying spontaneous decay of an excited two-level atom in the presence of dispersing and absorbing dielectric bodies is developed. An integral equation, which is suitable for numerical solution, is derived for the atomic upper-state-probability amplitude. The emission pattern and the power spectrum of the emitted light are expressed in terms of the Green tensor of the dielectric-matter formation including absorption and dispersion. The theory is applied to the spontaneous decay of an excited atom at the center of a three-layered spherical cavity, with the cavity wall being modeled by a band-gap dielectric of Lorentz type. Both weak coupling and strong coupling are studied, the latter with special emphasis on the cases where the atomic transition is (i) in the normal-dispersion zone near the medium resonance and (ii) in the anomalous-dispersion zone associated with the band gap. In a single-resonance approximation, conditions of the appearance of Rabi oscillations and closed solutions to the evolution of the atomic state population are derived, which are in good agreement with the exact numerical results.
Topological Berry phase of a pumped three-level atom in the presence of dispersing and absorbing dielectric bodies: application to a half-space dielectric surface
On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics
最近发展了两种量子化电磁场的方法：一般色散和吸收线性色散。第一种方法是在麦克斯韦方程组中引入量子朗之万电流[T. Gruner和D.- G. Welsch，Phys.Rev.A53，1818（1996）; Ho Trung Dung，L. Knöll和D.- G. Welsch，Phys.Rev.A57，3931（1998）; S.谢尔湖Knöll和D.- G. Welsch，Phys.Rev.A58，700（1998）]，而第二种方法使用一组辅助场，然后进行正则量子化过程[A. Tip，Phys.Rev.A57，4818（1998）]。我们证明了这两种方法是等价的。
Three-dimensional Casimir force between absorbing multilayer dielectrics
最近，在存在因果介质的电磁场的一维量子化方案中，研究了零温极限下介电和几何特性对色散和吸收多层板之间的Casimir力的影响[R.埃斯基韦尔-锡尔旺角Villarreal和G.H. Cocoletzi，Phys. Rev. Lett. 64，052108（2001）]。本文给出了一个严格的三维分析，表明对于复杂的异质结构，一维理论只能粗略地反映Casimir力对板间距的依赖关系。此外，最近导出的零温度下Casimir力公式的扩展[M. S. Tomawei，Phys.Rev.A66，052103（2002）]到有限温度的距离定律，并推导出零温度极限下特定距离定律的解析表达式。特别是，研究表明，两个单板板之间的卡西米尔力的渐进行为类似于$d^{-6}$，而不是$d^{-4}$（$d$，板分离）。
我们建立了色散力之间的一般关系。首先，基于因果介质中的QED，采用首阶微扰理论，用原子极化率和体助电磁场的格林张量来表示单原子Casimir-Polder势和双原子van der Waals势。在这个几何无关的框架下，我们采用格林张量的玻恩展开和Clausius-Mosotti关系，证明了在介电体存在下，原子的宏观Casimir-Polder势是由其微观多原子与组成介电体的原子之间的范德华相互作用的无穷和所引起的.这个定理适用于非均匀的，分散的，和吸收机构的任意形状和任意原子组成的任意背景下的附加磁介电体。
