声学系统中的非阿贝尔拓扑相及其商关系
Non-Abelian Topological Phases and Their Quotient Relations in Acoustic Systems
AI总结：
针对非阿贝尔拓扑相在经典波体系中难构型调控的问题，本研究利用三组分声学偶极子的编织型虚耦合，在一维互易厄米系统中生成声学非阿贝尔拓扑相，给出全相图并验证商关系，为非对易声学器件研究提供新思路。
摘要：
非阿贝尔拓扑相（NATPs）是量子计算与通信领域备受追捧的候选态，但缺乏简便的构型与调控方式，经典波体系中尤为突出。本研究利用一对三组分声学偶极子之间的新型编织型耦合，这类偶极子可作为具备有效虚耦合的功能元件。将其沿一维序列排布，我们得以在紧凑且互易的厄米系统中生成声学非阿贝尔拓扑相。我们进一步给出了涵盖所有i、j、k类非阿贝尔相的完整相图，并通过不同的端点态直接演示了其独特的商关系。我们基于实空间编织的非阿贝尔拓扑相或能启发具有非对易特性的声学器件探索。
英文摘要：
Non-Abelian topological phases (NATPs) are highly sought-after candidate states for quantum computing and communication while lacking straightforward configuration and manipulation, especially for classical waves. In this work, we exploit novel braid-type couplings among a pair of triple-component acoustic dipoles, which act as functional elements with effective imaginary couplings. Sequencing them in one dimension allows us to generate acoustic NATPs in a compact yet reciprocal Hermitian system. We further provide the whole phase diagram that encompasses all i, j, and k non-Abelian phases, and directly demonstrate their unique quotient relations via different endpoint states. Our NATPs based on real-space braiding may inspire the exploration of acoustic devices with non-commutative characters.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
