论文标题
具有想象的Aubry-Andre-Harper潜力的拓扑过渡
Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
论文作者
论文摘要
我们研究具有虚拟值Aubry-Andre-Harper（AAH）电位的一维晶格。这样的晶格可以托管纯粹想象的特征力的边缘状态，它们与Hermitian AAH模型的边缘状态有所不同，并通过非弱者颗粒孔对称性稳定。当想象电位的周期是四个晶格常数的倍数时，边缘状态就会出现。它们的起源是拓扑的，可以表现在具有不同调制周期和相位的晶格之间的域壁上，如散装极化不变的预测。有趣的是，边缘状态仍然存在并保持本地化，即使实际线路差距结束也是如此。这些功能可在激光阵列中使用，以在空间扩展的泵送下选择拓扑激光模式。
We study one-dimensional lattices with imaginary-valued Aubry-Andre-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are stabilized by a non-Hermitian particle-hole symmetry. The edge states arise when the period of the imaginary potential is a multiple of four lattice constants. They are topological in origin, and can manifest on domain walls between lattices with different modulation periods and phases, as predicted by a bulk polarization invariant. Interestingly, the edge states persist and remain localized even if the real line gap closes. These features can be used in laser arrays to select topological lasing modes under spatially extended pumping.
