标题： 多波段分数Thouless泵 显示英文标题

标题： Multi-band fractional Thouless pumps

摘要： 粒子输运的量子化位于拓扑物理的核心。在 Thouless 泵——整数量子霍尔效应的维度约简版本中，量子化由单带 Wannier 态的整数缠绕决定。在这里，我们展示了排斥相互作用可以通过稳定多带 Wannier 态的晶体（每个具有分数缠绕）来驱动从整数量子化的 Thouless 泵到分数量子化的 Thouless 泵（在固定的整数填充下）的转变。我们在少量粒子系统中数值说明了这一概念，并且表明动力学 Hartree-Fock 近似可以定量再现泵浦相图。 显示英文摘要

摘要： Quantization of particle transport lies at the heart of topological physics. In Thouless pumps - dimensionally reduced versions of the integer quantum Hall effect - quantization is dictated by the integer winding of single-band Wannier states. Here, we show that repulsive interactions can drive a transition from an integer- to a fractional-quantized Thouless pump (at fixed integer filling) by stabilizing a crystal of multi-band Wannier states, each with fractional winding. We numerically illustrate the concept in few-particle systems, and show that a dynamical Hartree-Fock ansatz can quantitatively reproduce the pumping phase diagram.