论文标题
使用调制不稳定性探测带拓扑
Probing band topology using modulational instability
论文作者
论文摘要
我们分析了拓扑光子晶格中非线性BLOCH波的模稳定性。在线性稳定性分析捕获的不稳定性发展的初始阶段，非线性BLOCH波的长波长不稳定性和分叉对拓扑带反演敏感。在较长的时间尺度上，非线性波混合会导致能量通过整个频段传播，并自发地产生由CHERN数带确定的波极化奇点。我们的分析和数值结果建立了模量不稳定性，作为探测大量拓扑不变的工具并创建拓扑上的非平凡波场。
We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stability analysis, long wavelength instabilities and bifurcations of the nonlinear Bloch waves are sensitive to topological band inversions. At longer timescales, nonlinear wave mixing induces spreading of energy through the entire band and spontaneous creation of wave polarization singularities determined by the band Chern number. Our analytical and numerical results establish modulational instability as a tool to probe bulk topological invariants and create topologically non-trivial wave fields.
