Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities
Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities
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DOI：
10.1103/physrevlett.130.213602
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发表时间：
2023-05-24
影响因子：
8.6
通讯作者：
Cao, Jianshu
中科院分区：
文献类型：
--
作者：
Engelhardt, Georg;Cao, Jianshu
实验表明，强的光-物质耦合的极化激元微腔显着增强传输。受这些实验的启发，我们在热力学极限下求解了无序多模Tavis-Cummings模型，并利用该解分析了它的色散和局域化性质。该解决方案意味着波矢量分辨光谱量可以由单模模型描述，但空间分辨量需要多模解决方案。绿色函数的非对角元素随距离呈指数衰减，这定义了相干长度。相干长度与光子的重量是密切相关的，并表现出反缩放相对于拉比频率和一个不寻常的依赖于无序。对于远离平均分子能量EM且高于限制能量EC的能量，相干长度迅速发散，使得其超过光子共振波长λ 0。快速的分歧使我们能够区分本地化和离域制度，并确定从扩散到弹道运输的过渡。
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 coherent 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 EM and above the confinement energy EC, the coherence length rapidly diverges such that it exceeds the photon resonance wavelength lambda 0. The rapid divergence allows us to differentiate the localized and delocalized regimes and identify the transition from diffusive to ballistic transport.