论文标题
通过弯曲电势通过多维拓扑字符串：同时实现移动性边缘和拓扑保护
Multidimensional topological strings by curved potentials: Simultaneous realization of mobility edge and topological protection
论文作者
论文摘要
通过考虑在适当的曲线坐标中伸长的雪茄形诱捕电势，我们发现了一种新形式的波浪定位形式，这是由几何和拓扑保护的相互作用产生的。电势以其形状进行调制，使得局部曲率引入了诱捕电位。曲率沿陷阱曲线轴各变化，编码拓扑哈珀调制。不同的几何形状将我们的系统映射在一维的Andre-aubry-Harper光栅上。我们表明存在一个流动性边缘，并出现了受拓扑保护的状态。这些状态在弦的形状方面非常强大。该结果可能与Bose-Einstein冷凝物，光纤和波导以及新的激光设备中的定位现象有关，也与弦理论的基本研究有关。考虑到一维调制模仿了附加维度的存在，我们的系统是物理上可实现的五维字符串的第一个示例。
By considering a cigar-shaped trapping potential elongated in a proper curvilinear coordinate, we discover a new form of wave localization which arises from the interplay of geometry and topological protection. The potential is modulated in its shape such that local curvature introduces a trapping potential. The curvature varies along the trap curvilinear axis encodes a topological Harper modulation. The varying geometry maps our system in a one-dimensional Andre-Aubry-Harper grating. We show that a mobility edge exists and topologically protected states arises. These states are extremely robust with respect to disorder in shape of the string. The results may be relevant for localization phenomena in Bose-Einstein condensates, optical fibers and waveguides, and new laser devices, but also for fundamental studies on string theory. Taking into account that the one-dimensional modulation mimic the existence of a additional dimensions, our system is the first example of physically realizable five-dimensional string.
