论文标题
通过浮光拓扑绝缘子转向边缘电流
Steering edge currents through a Floquet topological insulator
论文作者
论文摘要
周期性驾驶可能会导致沿拓扑保护的沿2D晶格边缘的手性传输，而该晶格在不驾驶的情况下将在拓扑上是微不足道的。我们研究如果人们沿着这种2D网格的对角线添加不同的现场电位会发生什么。除了通常的体积和边缘状态外，系统还表现出双龙状态，类似于一个维度的两个相互作用的粒子。最初位于边缘的粒子沿系统的边界传播。当它撞击对角线并继续沿边缘和对角线同时传播时，其波函数会分裂。对角线电势的强度决定了这两个部分之间的比率。我们表明，对于对角线电位的特定值，禁止跳到对角线上，因此系统有效地分为两个三角形晶格。对于对角线电位的其他值，我们发现两个贡献在周围和通过系统中传播的时间延迟。这种行为可以使光线沿边缘的拓扑保护转运以及通过激光命令的光子波导阵列的转向。
Periodic driving may cause topologically protected, chiral transport along edges of a 2D lattice that, without driving, would be topologically trivial. We study what happens if one adds a different on-site potential along the diagonal of such a 2D grid. In addition to the usual bulk and edge states, the system then also exhibits doublon states, analogous to two interacting particles in one dimension. A particle initially located at an edge propagates along the system's boundary. Its wavefunction splits when it hits the diagonal and continues propagating simultaneously along the edge and the diagonal. The strength of the diagonal potential determines the ratio between both parts. We show that for specific values of the diagonal potential, hopping onto the diagonal is prohibited so that the system effectively separates into two triangular lattices. For other values of the diagonal potential, we find a temporal delay between the two contributions traveling around and through the system. This behavior could enable the steering of topologically protected transport of light along the edges and through the bulk of laser-inscribed photonic waveguide arrays.
