Experimental Realization of Topological Braiding Protected by Non-Abelian Quaternion Invariants in Acoustic Systems

The results in Figure 2 can be directly reproduced by calculating the band structure and winding number using standard methods reported in the literature, based on the parameters provided in the manuscript. The results in Figure 3 were mainly reproduced using COMSOL Multiphysics. The corresponding model file is: Three cavity_hopping-three different cavity-identical hopping - 20240713.mph Part of the raw data, together with the fitting codes used to reproduce Figure 4, can be found in: Three_cavities_2.m eigenvector.m Acoustic Raw data.zip基于本文稿提供的参数，采用文献报道的标准方法计算能带结构（band structure）与绕数（winding number），即可直接复现图2中的结果。 图3的结果主要通过COMSOL Multiphysics软件复现，对应的模型文件为： Three cavity_hopping-three different cavity-identical hopping - 20240713.mph 用于复现图4的部分原始数据及拟合代码可从以下路径获取： Three_cavities_2.m eigenvector.m Acoustic Raw data.zip