论文标题
多模微腔中无序量子发射器的偏光定位和分散性能
Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities
论文作者
论文摘要
实验表明,极性微腔中强的光耦合可显着增强运输。在这些实验中,我们在热力学极限中解决了无序的多模Tavis-cummings模型,并使用该解决方案来分析其分散和定位性能。该解决方案意味着可以通过单模模型来描述波矢量分辨的光谱量,但是空间分辨的量需要多模溶液。绿色函数的非对角元素与距离呈指数型衰减,这定义了连贯长度。相干长度与光子的重量密切相关,并且相对于狂犬病频率表现出逆尺度和对疾病的异常依赖。对于远离平均分子能量$ e _ {\ text {m}} $的能量,且高于禁闭能量$ e_c $,相干长度迅速差异,使其超过光子谐振波长$λ_0$。快速发散使我们能够区分局部和离域政策,并确定从扩散到弹道传输的过渡。
Experiments have demonstrated that the strong light-matter coupling in polaritonic microcavities significantly enhances transport. Motivated by these experiments, we have solved the disordered multimode Tavis-Cummings model in the thermodynamic limit and used this solution to analyze its dispersion and localization properties. The solution implies that wave-vector-resolved spectroscopic quantities can be described by single-mode models, but spatially resolved quantities require the multimode solution. Nondiagonal elements of the Green's function decay exponentially with distance, which defines the coherence length. The coherence length is strongly correlated with the photon weight and exhibits inverse scaling with respect to the Rabi frequency and an unusual dependence on disorder. For energies away from the average molecular energy $E_{\text{M}}$ and above the confinement energy $E_C$, the coherence length rapidly diverges such that it exceeds the photon resonance wavelength $λ_0$. The rapid divergence allows us to differentiate the localized and delocalized regimes and identify the transition from diffusive to ballistic transport.