论文标题
光子玻色子与热相互作用的光子玻色子凝结物的确切对角线化
Exact Diagonalisation of Photon Bose-Einstein Condensates with Thermo-Optic Interaction
论文作者
论文摘要
尽管已经使用了光子玻色菌冷凝水来研究许多有趣的效果，但迄今为止，光子 - 光子相互作用的确切作用尚未完全阐明。鉴于此，这些系统允许同时测量从空腔中泄漏出来的光的强度及其光谱，这是有利的。因此，可以通过分析冷凝物扩展，并通过检查腔模式的相互作用诱导的修饰来确定光子光子相互作用强度一次。由于前一种方法至关重要地取决于捕获电势的具体形状和所使用的摄像头的空间分辨率，因此干涉方法有望更精确的测量值。为此，本文提出了光子 - 光子相互作用对腔模式的影响。光子 - 光子相互作用（包括热云）的量子机械描述构建了该方法的理论主干。此处介绍的一种精确的对角线方法揭示了有效的光子光子相互作用如何修饰光子气体的光谱和宽度。与基于毛比的分数方程的变异方法的比较量化了相应应用中热云的贡献。
Although photon Bose-Einstein condensates have already been used for studying many interesting effects, the precise role of the photon-photon interaction is not fully clarified up to now. In view of this, it is advantageous that these systems allow measuring both the intensity of the light leaking out of the cavity and its spectrum at the same time. Therefore, the photon-photon interaction strength can be determined once via analysing the condensate broadening and once via examining the interaction-induced modifications of the cavity modes. As the former method depends crucially on the concrete shape of the trapping potential and the spatial resolution of the used camera, interferometric methods promise more precise measurements. To this end, the present paper works out the impact of the photon-photon interaction upon the cavity modes. A quantum mechanical description of the photon-photon interaction, including the thermal cloud, builds the theoretical backbone of the method. An exact diagonalisation approach introduced here exposes how the effective photon-photon interaction modifies both the spectrum and the width of the photon gas. A comparison with a variational approach based on the Gross-Pitaevskii equation quantifies the contribution of the thermal cloud in the respective applications.
