Grinberg Inbar Hotzen, Lin Mao, Harris Cameron, Benalcazar Wladimir A, Peterson Christopher W, Hughes Taylor L, Bahl Gaurav
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
Nat Commun. 2020 Feb 20;11(1):974. doi: 10.1038/s41467-020-14804-0.
The transport of energy through 1-dimensional (1D) waveguiding channels can be affected by sub-wavelength disorder, resulting in undesirable localization and backscattering phenomena. However, quantized disorder-resilient transport is observable in the edge currents of 2-dimensional (2D) topological band insulators with broken time-reversal symmetry. Topological pumps are able to reduce this higher-dimensional topological insulator phenomena to lower dimensionality by utilizing a pumping parameter (either space or time) as an artificial dimension. Here we demonstrate a temporal topological pump that produces on-demand, robust transport of mechanical energy using a 1D magneto-mechanical metamaterial. We experimentally demonstrate that the system is uniquely resilient to defects occurring in both space and time. Our findings open a path towards exploration of higher-dimensional topological physics with time as a synthetic dimension.
通过一维（1D）波导通道的能量传输会受到亚波长无序的影响，从而导致不良的局域化和背散射现象。然而，在具有时间反演对称性破缺的二维（2D）拓扑带绝缘体的边缘电流中，可以观察到量子化的无序弹性传输。拓扑泵能够通过将泵浦参数（空间或时间）用作人工维度，将这种高维拓扑绝缘体现象降低到低维度。在此，我们展示了一种时间拓扑泵，它利用一维磁机械超材料按需产生稳健的机械能传输。我们通过实验证明，该系统对空间和时间中出现的缺陷具有独特的弹性。我们的发现为以时间作为合成维度探索高维拓扑物理开辟了一条道路。
