We used a homogeneous computational approach to derive the excitonic Hamiltonian for five light harvesting complexes containing only one type of chromophore and compare them in terms of statistical descriptors. We then studied the approximate exciton dynamics for the five complexes introducing a measure, the (averaged and time-dependent) inverse participation ratio, that enables the comparison between very diverse complexes on the same ground. We find that the global dynamics are very similar across the set of systems despite the variety of geometric structures of the complexes. In particular, the dynamics of four out of five light harvesting complexes are barely distinguishable with a small variation from the norm seen only for the Fenna-Matthews-Olson complex. We use the information from the realistic Hamiltonians to build a reduced model system that shows how the global dynamics are ultimately dominated by a single parameter, the degree of localization of the excitonic Hamiltonian eigenstates. Considering the physically plausible range of system parameters, the reduced model explains why the dynamics are so similar across most light harvesting complexes containing a single type of chromophore regardless of the detailed pattern of the inter-chromophore excitonic coupling.

中文翻译：

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关于生色团在光收集复合物中的排列：机会与设计。

我们使用均匀计算方法为仅包含一种生色团的五种光捕获复合物推导了激子哈密顿量，并根据统计描述符对它们进行了比较。然后，我们研究了五个复合物的近似激子动力学，引入了一种度量（平均和时间相关）逆参与比，从而可以比较同一地面上非常不同的复合物。我们发现，尽管复杂系统的几何结构多种多样，但整个系统的全局动力学非常相似。尤其是，五分之四的光采集系统的动力学几乎无法区分，与仅在芬纳-马修斯-奥尔森系统中看到的标准相比有很小的变化。我们使用来自现实哈密顿主义者的信息来构建简化的模型系统，该模型系统展示了整体动力学最终如何由单个参数（激子哈密顿本征态的局域化程度）主导。考虑到系统参数的物理合理范围，简化的模型解释了为什么在包含单一类型生色团的大多数光收集络合物中动力学是如此相似，而不论生色团间激子耦合的详细模式如何。