AI 中文总结
本研究提出三聚体索利斯泵（TTP），作为两带拓扑泵浦的三带推广，揭示其多隙拓扑输运特性，阐明中间能带的几何媒介作用，并给出超冷原子实验实现方案。
AI 中文摘要
拓扑电荷泵浦在范例上通过两带系统（如Rice-Mele模型）来理解，这类系统本质上局限于单个独立泵浦通道。本研究引入三聚体索利斯泵（Trimer Thouless Pump, TTP），这是一种极小的三带推广模型，展现出真正的多隙拓扑输运。通过对一维三格点晶格的跃迁振幅和反对称在位势进行循环绝热调制，我们探索了具有两个独立体隙的拓扑区域。研究表明，量子化电荷输运由参数环面上对应有效两能级狄拉克避免交叉的高度局域贝里曲率热点驱动。关键在于，我们证明中间能带充当几何媒介：它促进上下能带之间量子化贝里通量的交换，同时自身保持净零陈数。体拓扑由遍历多个隙的边界局域边缘态的谱流证实。此外，我们绘制了作为中心格点失谐函数的拓扑相图，说明了在离散相变处拓扑不变量的带选择性转移。最后，我们提出了一个具体的实验方案，利用相位控制光超晶格中的超冷原子来实现TTP并观测其多隙电荷输运。
英文摘要
Topological charge pumping is paradigmatically understood through two-band systems such as the Rice-Mele model, which are intrinsically restricted to a single independent pumping channel. In this work, we introduce the Trimer Thouless Pump (TTP), a minimal three-band generalization that exhibits genuinely multigap topological transport. By subjecting a one-dimensional three-site lattice to cyclic adiabatic modulations of its hopping amplitudes and antisymmetric onsite potentials, we explore a topological regime characterized by two independent bulk gaps. We show that the quantized charge transport is driven by highly localized Berry curvature hotspots corresponding to effective two-level Dirac avoided crossings on the parameter torus. Crucially, we demonstrate that the middle energy band acts as a geometric mediator: it facilitates the exchange of quantized Berry flux between the upper and lower bands while maintaining a net zero Chern number itself. This bulk topology is corroborated by the spectral flow of boundary-localized edge states traversing multiple gaps. Furthermore, we map the topological phase diagram as a function of central-site detuning, illustrating a band-selective transfer of topological invariants across discrete phase transitions. Finally, we propose a concrete experimental protocol to realize the TTP and observe its multigap charge transport using ultracold atoms in phase-controlled optical superlattices.
