Within the framework of quantization of the macroscopic electromagnetic field, equations of motion and an effective Hamiltonian for treating both the resonant dipole-dipole interaction between two-level atoms and the resonant atom-field interaction are derived, which can suitably be used for studying the influence of arbitrary dispersing and absorbing material surroundings on these interactions. The theory is applied to the study of the transient behavior of two atoms that initially share a single excitation, with special emphasis on the role of the two competing processes of virtual and real photon exchange in the energy transfer between the atoms. In particular, it is shown that for weak atom-field interaction there is a time window, where the energy transfer follows a rate regime of the type obtained by ordinary second-order perturbation theory. Finally, the resonant dipole-dipole interaction is shown to give rise to a doublet spectrum of the emitted light for weak atom-field interaction and a triplet spectrum for strong atom-field interaction.
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）。
