论文标题

理想超材料中的最小非亚伯淋巴结编织

Minimal non-abelian nodal braiding in ideal metamaterials

论文作者

Qiu, Huahui, Zhang, Qicheng, Liu, Tingzhi, Fan, Xiying, Zhang, Fan, Qiu, Chunyin

论文摘要

探索新的拓扑阶段和现象已成为凝结物理学和物质科学的重要话题。通常认为,一对具有相反拓扑电荷的带节点会在碰撞后消灭。最近的研究表明,在使用PT或C_2Z T对称性的多间隙系统中可以稳定编织的碰撞淋巴结对。除了传统的单间Abelian带拓扑之外,这种有趣的现象还例证了非亚伯式拓扑。在这里,我们构建了理想的声学不材料,以使用最少的带节点来实现非亚伯编织。我们通过实验观察到一个优雅但非平凡的淋巴结编织过程,包括创建节点,编织,碰撞和排斥(即未能歼灭),并测量镜像特征值以阐明基本的编织后果。后者在波形层面上至关重要,因为编织物理学实质上是为了纠缠多波段波形。此外,我们在实验中揭示了边缘响应与散装非亚洲电荷之间的高度复杂的对应关系。值得注意的是,我们所有的实验数据完美地重现了我们的数值模拟。我们的发现为开发仍处于起步阶段的非阿您拓扑物理学的道路铺平了道路。

Exploring new topological phases and phenomena has become a vital topic in condensed matter physics and material sciences. It is generally believed that a pair of band nodes with opposite topological charges will annihilate after collision. Recent studies reveal that a braided colliding nodal pair can be stabilized in a multi-gap system with PT or C_2z T symmetry. Beyond the conventional single-gap abelian band topology, this intriguing phenomenon exemplifies non-abelian topological charges. Here, we construct ideal acoustic metamaterials to realize non-abelian braiding with the fewest band nodes. We experimentally observe an elegant but nontrivial nodal braiding process, including nodes creation, braiding, collision, and repulsion (i.e., failure to annihilate), and measure the mirror eigenvalues to elucidate the essential braiding consequence. The latter, at the level of wavefunctions, is of prime importance since the braiding physics essentially aims to entangle multi-band wavefunctions. Furthermore, we experimentally unveil the highly intricate correspondence between the edge responses and the bulk non-abelian charges. Notably, all our experimental data perfectly reproduce our numerical simulations. Our findings pave the way for developing non-abelian topological physics that is still in its infancy.

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