Titum Paraj, Lindner Netanel H, Rechtsman Mikael C, Refael Gil
Department of Physics, Institute of Quantum Information and Matter, Caltech, Pasadena, California 91125, USA.
Department of Physics, Institute of Quantum Information and Matter, Caltech, Pasadena, California 91125, USA and Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel.
Phys Rev Lett. 2015 Feb 6;114(5):056801. doi: 10.1103/PhysRevLett.114.056801. Epub 2015 Feb 4.
We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish that a disorder-induced trivial-to-topological transition indeed occurs, and characterize it by computing the disorder averaged Bott index, suitably defined for the time-dependent system. The presence of edge states in the topological state is confirmed by exact numerical time evolution of wave packets on the edge of the system. We consider the optimal driving regime for experimentally observing the Floquet topological Anderson insulator, and discuss its possible realization in photonic lattices.
我们研究了在二维周期性驱动系统中实现无序诱导拓扑弗洛凯谱的可能性。这样一种状态将是拓扑安德森绝缘体的动力学实现。我们确定确实发生了无序诱导的平凡到拓扑的转变，并通过计算为含时系统适当定义的无序平均博特指标来对其进行表征。通过对系统边缘波包的精确数值时间演化，证实了拓扑态中边缘态的存在。我们考虑了用于实验观测弗洛凯拓扑安德森绝缘体的最优驱动机制，并讨论了其在光子晶格中的可能实现。
