AI 中文总结
研究利用声学平台实现由全局绝热准则引导的非阿贝尔完整变换，通过数字耦合四波导结构及相关模块实现两阶段相位拼接完整演化，相比高斯包络有优势，还支持单向声学模式转换，验证了声学NHTs用于紧凑波控制等作用。
AI 中文摘要
一个声学平台被验证可用于实现由全局绝热准则（GAC）引导的紧凑非阿贝尔完整变换（NHTs）。将三脚架模型映射到数字耦合四波导结构上，通过设计的耦合包络和声学诱导透明相位控制模块实现两阶段相位拼接完整演化。与参考高斯包络相比，GAC引导的幂律分布使全局非绝热负担的空间分布更平坦。全波模拟展示了泡利 - X和哈达玛型目标变换，提取的归一化强度与解析耦合模预测高度吻合，且耦合长度减半。同样的相位拼接结构还支持单向声学模式转换，与环绕的例外点相关的简化双模非厄米图像密切相关。这些结果验证了声学NHTs作为紧凑波控制的稳健几何途径，确立了GAC作为数字耦合系统中快速绝热传输的有力指导，并进一步证明相同的相位拼接架构通过例外点辅助分支选择支持单向模式转换。
英文摘要
An acoustic platform is validated for implementing compact non-Abelian holonomic transformations (NHTs) guided by a global adiabatic criterion (GAC). A tripod model is mapped onto a digitally coupled four-waveguide structure, where designed coupling envelopes and an acoustically-induced-transparency phase-control module implement a two-stage phase-stitched holonomic evolution. Compared with a reference Gaussian envelope, the GAC-guided power-law profile flattens the spatial distribution of the global nonadiabatic burden, thereby providing a quantitative basis for compact acoustic implementation. Full-wave simulations show Pauli-$X$ and Hadamard-type target transformations, with excellent agreement between the extracted normalized intensities and analytical coupled-mode predictions. These target responses are obtained with half the coupling length required by the reference Gaussian implementations. More uniquely, the same phase-stitched structure also supports unidirectional acoustic mode conversion, which is closely related to a reduced two-mode non-Hermitian picture associated with an encircled exceptional point (EP). These results validate acoustic NHTs as a robust geometric route for compact wave control, establish the GAC as a powerful guideline for fast adiabatic transport in digitally coupled systems, and further demonstrate that the same phase-stitched architecture supports unidirectional mode conversion through EP-assisted branch selection.
Comments9 pages, 5 figures
