论文标题
高阶拓扑绝缘子中的非亚伯Bloch振荡
Non-Abelian Bloch oscillations in higher-order topological insulators
论文作者
论文摘要
Bloch振荡(BOS)是一种基本现象,在遭受外力时,波数据包在晶格中进行周期性运动。在广泛的合成晶格系统中观察到,BOS与基础带结构的几何和拓扑特性本质上相关。这已经建立了BOS作为检测浆果相效应的突出工具,包括由非亚伯仪范围域描述的工具。在这项工作中,我们推出了一种独特的拓扑作用,该拓扑效应通过非亚伯浆果曲率和量化的威尔逊环路的相互作用在高阶拓扑绝缘子的BOS中表现出来。它的特征是振荡的大厅漂移,该漂移与受拓扑保护的带间跳动和乘以Bloch时期同步。我们阐明这种同步机制的起源依赖于Wannier中心的周期性量子动力学。我们的工作通过测量浆果阶段和质量中心位移来铺平了合成物质中非亚洲拓扑特性的实验检测方式。
Bloch oscillations (BOs) are a fundamental phenomenon by which a wave packet undergoes a periodic motion in a lattice when subjected to an external force. Observed in a wide range of synthetic lattice systems, BOs are intrinsically related to the geometric and topological properties of the underlying band structure. This has established BOs as a prominent tool for the detection of Berry phase effects, including those described by non-Abelian gauge fields. In this work, we unveil a unique topological effect that manifests in the BOs of higher-order topological insulators through the interplay of non-Abelian Berry curvature and quantized Wilson loops. It is characterized by an oscillating Hall drift that is synchronized with a topologically-protected inter-band beating and a multiplied Bloch period. We elucidate that the origin of this synchronization mechanism relies on the periodic quantum dynamics of Wannier centers. Our work paves the way to the experimental detection of non-Abelian topological properties in synthetic matter through the measurement of Berry phases and center-of-mass displacements.