Wannier Function Formalism for Defects in Periodic Materials for Microlaser Resonator and Cavity QED-Applications

用于微激光谐振器和腔 QED 应用的周期性材料缺陷的 Wannier 函数形式主义

• 批准号: 52425266
• 负责人: Professor Dr. Johann Kroha
• 金额: --
• 依托单位: DWI - Leibniz-Institut für Interaktive Materialien e.V.
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2007
• 资助国家: 德国
• 起止时间: 2006-12-31 至 2010-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/52425266?language=en
• 关键词: Wannier; Function; Formalism; Defects; Periodic

Defect structures in photonic crystals are promising for applications as microlaser resonators and in cavity quantum electrodynamics (cavity QED) where, for example, the spontaneous emission from an atom in the defect with a transition frequency inside a photonic bandgap can be suppressed and photon-atom bound states can be formed. The theoretical description of the photonic density of states and of the dynamics in such defects has been hampered by the necessity of simultaneously capturing the periodicity of the host crystal and the short-scale structure of the defect. In the standard Bloch or plane wave expansion (PWE) methods this implies using extraordinarily large sets of basis functions. In the present project an efficient formalism for the dynamical processes in photonic crystal microlaser resonators and cavity QED, based on a Wannier function expansion, will be developed, which allows using a relatively small set of basis functions. In particular, the so-called Bloch phase-optimization problem will be treated using an efficient genetic algorithm. The formalism will be applied to the dynamics in photonic crystal microlasers and in cavity QED using Green's function techniques. We expect stimulating interactions with the Projects R1 (Daniel Haertle, Karsten Buse), R3 (Arno Rauschenbeutel), and W1 (Dieter Meschede, Wolfgang Alt).

光子晶体中的缺陷结构在微激光器谐振器和腔量子电动力学（cavity quantum electrodynamics，腔QED）中具有很好的应用前景，其中，例如，可以抑制缺陷中具有光子带隙内的跃迁频率的原子的自发辐射，并且可以形成光子-原子束缚态。光子态密度和这种缺陷中的动力学的理论描述受到同时捕获宿主晶体的周期性和缺陷的短尺度结构的必要性的阻碍。在标准Bloch或平面波展开（PWE）方法中，这意味着使用非常大的基函数集。在本项目中，一个有效的形式主义的动力学过程中的光子晶体微激光谐振器和腔QED，基于Wannier函数展开，将开发，它允许使用一个相对较小的基函数集。特别是，所谓的布洛赫相位优化问题将使用一个有效的遗传算法。该方法将应用于光子晶体微激光器和腔QED中的动力学研究。我们期待与项目R1（丹尼尔Haertle，Karsten Buse），R3（Arno Rauschenbeutel）和W1（Dieter Meschede，Wolfgang Alt）的互动。