论文标题
一维光子晶格中由杂交相互作用引起的拓扑和平坦带状态
Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
论文作者
论文摘要
我们报告了每个站点同时，基本和偶极模式的一维线性光子晶格托管的研究。我们显示，由于不同轨道模式之间的相互作用，该最小模型表现出丰富的运输和拓扑特性。通过改变失调系数，我们找到了一个机制，在该方案中，带变平（减少了运输）和第二个频段，这两个频段都以隔离的闭合过渡（具有增强的运输）进行连接。由于模式之间的不对称间耦合和线性能量交换机制，我们检测到不对称的转运。进一步的分析表明，频带具有拓扑转变，具有非平凡的Zak相，该阶段导致有限系统中边缘状态的外观。最后，对于零失调，我们发现了耦合常数的对称条件，在该条件下，线性光谱变得完全平坦，状态完全位于空间中，仅占据了两个晶格位点。
We report on a study of a one-dimensional linear photonic lattice hosting, simultaneously, fundamental and dipolar modes at every site. We show how, thanks to the interaction between the different orbital modes, this minimal model exhibits rich transport and topological properties. By varying the detuning coefficient we find a regime where bands become flatter (with reduced transport) and, a second regime, where both bands connect on at a gap-closing transition (with enhanced transport). We detect an asymmetric transport due to the asymmetric inter-mode coupling and a linear energy exchange mechanism between modes. Further analysis show that the bands have a topological transition with a non-trivial Zak phase which leads to the appeareance of edge states in a finite system. Finally, for zero detuning, we found a symmetric condition for coupling constants, where the linear spectrum becomes completely flat, with states fully localized in space occupying only two lattice sites.
