论文标题
波前位错揭示了准1D光子绝缘子的拓扑结构
Wavefront dislocations reveal the topology of quasi-1D photonic insulators
论文作者
论文摘要
无论波动方程如何,相位奇异性在波场中无处不在。如在巨大数量的经典波浪实验中所观察到的那样,这种拓扑缺陷会导致波前位错。波功能的相位奇异性也是物质间隙阶段拓扑分类的核心。尽管具有相同的奇异特征,但波浪中的拓扑绝缘子和拓扑缺陷仍然是两个不同的领域。意识到一维微波绝缘子,我们在实验中观察到在系统发生拓扑相变的状态局部密度中的波前错位 - 2D相奇异性。从理论上讲,我们表明过渡时干扰条纹数量的变化揭示了表征绝缘体中带拓扑的拓扑指数。
Phase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of wave functions are also at the heart of the topological classification of the gapped phases of matter. Despite identical singular features, topological insulators and topological defects in waves remain two distinct fields. Realising 1D microwave insulators, we experimentally observe a wavefront dislocation - a 2D phase singularity - in the local density of states when the systems undergo a topological phase transition. We show theoretically that the change in the number of interference fringes at the transition reveals the topological index that characterises the band topology in the insulator.