报告题目：Toward the realization of photonics edge states
报告摘要：We discover a new form of wave localization which arises from the interplay of geometry and topological protection. We consider a cigar-shaped trapping potential that is elongated in a proper curvilinear coordinate. The potential is modulated in its shape such that local curvature introduces a trapping potential. The curvature varies along the trap curvilinear axis in a way to encode a topological Harper modulation. The system is mapped in a one-dimensional Andre-Aubry-Harper grating and we show that a mobility edge exists and topologically protected states may arise. 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 an additional spurious dimension, one strings may be considered as the first example of physically realizable five-dimensional strings.