论文标题
使用泄漏的光子晶格探测散装拓扑不变性
Probing bulk topological invariants using leaky photonic lattices
论文作者
论文摘要
表征填充的Bloch带的拓扑不变性引起了巨大的兴趣，基于电子拓扑绝缘子的基础以及玻色 - 因斯坦冷凝物，光子和声波的类似人工晶格。在后者的玻感系统中，没有费米排除原则可以强制执行统一的频带填充，这使得对其散装拓扑不变式的测量充满挑战。在这里，我们展示了如何使用泄漏的光子晶格来实现可控的骨带填充。在临界能量的界限和辐射模式之间泄漏的光子晶格宿主转变，该模式的作用类似于电子费米水平。将这种有效的费米水平调整为带隙会导致对散装拓扑不变的动力学动态量化，例如Chern数。我们的发现建立了漏水的晶格，是一个新颖且高度灵活的平台，用于探索拓扑和非铁波物理学。
Topological invariants characterising filled Bloch bands attract enormous interest, underpinning electronic topological insulators and analogous artificial lattices for Bose-Einstein condensates, photons, and acoustic waves. In the latter bosonic systems there is no Fermi exclusion principle to enforce uniform band filling, which makes measurement of their bulk topological invariants challenging. Here we show how to achieve controllable filling of bosonic bands using leaky photonic lattices. Leaky photonic lattices host transitions between bound and radiative modes at a critical energy, which plays a role analogous to the electronic Fermi level. Tuning this effective Fermi level into a band gap results in disorder-robust dynamical quantization of bulk topological invariants such as the Chern number. Our findings establish leaky lattices as a novel and highly flexible platform for exploring topological and non-Hermitian wave physics.
