The behavior of a two level atom in a half-cavity, i.e. a cavity with one mirror, is studied within the framework of a one dimensional model with respect to spontaneous decay and resonance fluorescence. The system under consideration corresponds to the setup of a recently performed experiment [J. Eschner \textit{et. al.}, Nature \textbf{413}, 495 (2001)] where the influence of a mirror on a fluorescing single atom was revealed. In the present work special attention is paid to a regime of large atom-mirror distances where intrinsic memory effects cannot be neglected anymore. This is done with the help of delay differential equations which contain, for small atom-mirror distances, the Markovian limit with effective level shifts and decay rates leading to the phenomenon of enhancement or inhibition of spontaneous decay. Several features are recovered beyond an effective Markovian treatment, appearing in experimental accessible quantities like intensity or emission spectra of the scattered light.
Cooling of atomic ensembles in optical cavities: Semiclassical limit
从理论上研究了原子在驻波高精谐振腔中的半经典动力学。原子通过散射过程冷却，在散射过程中，横向激光的光子相干散射到腔模中。我们推导出一个Fokker-Planck方程的原子质心变量，使我们能够确定在半经典极限的任何值的激光场的强度的运动方程。我们提取其预测的动力学时，谐振腔基本上是在真空状态和原子被冷却的散射光子进入腔模式，然后衰减。它对稳态原子分布的预测与[P. Domokos，P. Horak，and H. Ritsch，J.Phys.B34，187（2001）]，其是在不同假设下导出的。我们发现在考虑参数制度完全一致。
