论文标题
统一理论以淬灭动态来表征浮光拓扑阶段
Unified theory to characterize Floquet topological phases by quench dynamics
论文作者
论文摘要
定期驱动的系统的常规表征通常需要超出浮标频段的时间域信息，因此缺乏测量浮雕拓扑不变的通用和直接方案。在这里，我们提出了一个基于量子淬灭的统一理论，以表征通用$ d $二维（$ d $ d）的浮雕拓扑阶段，其中仅构建拓扑不变性，仅使用静态浮动带的最小信息来构建。对于最初是静态和微不足道的$ d $ d阶段，我们通过突然打开定期驾驶来引入淬火动态，并表明Quench Dynamics在（$ d-1 $）d动量子空间中表现出新兴的拓扑模式，floquet bands cross cross cross cross cross cross cross cross cross cross cross cross cross cross cross cross cross cross the Floquet topological topological topological topological topolical topolical bunvariants均可直接获得。该预测提供了一个简单而统一的表征，其中人们不仅可以提取常规和异常的浮子边界模式的数量，而且还可以识别相带中的拓扑保护奇异性。用1D和2D模型说明了这些应用程序，这些模型在冷原子实验中很容易访问。我们的研究为表征Floquet拓扑阶段的表征开辟了一个新的框架。
The conventional characterization of periodically driven systems usually necessitates the time-domain information beyond Floquet bands, hence lacking universal and direct schemes of measuring Floquet topological invariants. Here we propose a unified theory based on quantum quenches to characterize generic $d$-dimensional ($d$D) Floquet topological phases, in which the topological invariants are constructed with only minimal information of the static Floquet bands. For a $d$D phase which is initially static and trivial, we introduce the quench dynamics by suddenly turning on the periodic driving, and show that the quench dynamics exhibits emergent topological patterns in ($d-1$)D momentum subspaces where Floquet bands cross, from which the Floquet topological invariants are directly obtained. This prediction provides a simple and unified characterization, in which one can not only extract the number of conventional and anomalous Floquet boundary modes, but also identify the topologically protected singularities in the phase bands. The applications are illustrated with 1D and 2D models which are readily accessible in cold atom experiments. Our study opens a new framework for the characterization of Floquet topological phases.
