论文标题
两粒子拓扑无旋转泵
Two-particle topological Thouless spin pump
论文作者
论文摘要
我们表明，通过自旋交换相互作用的两个粒子在一维单粒子晶格模型中显示出拓扑特征。这是通过将晶格的所有空间自由度吸收到两个粒子自由度的自由度来实现。将自旋系统与Su-Schrieffer-Heeger模型进行比较，我们显示了拓扑保护的边缘自旋状态的存在，并建立了批量边缘对应关系。用手性对称性打破术语修饰自旋系统会导致它类似于稻米模型，因此在定期和绝热驱动时可以充当其中一个颗粒的无旋转泵。通过将自旋状态用作合成的空间维度，我们表明两个颗粒足以模拟凝聚态物理学中众所周知的拓扑特性。
We show that two particles interacting via spin exchange exhibit topological features found in one-dimensional single particle lattice models. This is accomplished by absorbing all of the spatial degrees of freedom of the lattices into the spin degrees of freedom of the two particles. Comparing the spin system with the Su-Schrieffer-Heeger model, we show the existence of topologically protected edge spin states and establish the bulk-edge correspondence. Modifying the spin system with a chiral symmetry breaking term results in it resembling the Rice-Mele model and can therefore act as a Thouless spin pump of one of the particles when periodically and adiabatically driven. By using the spin states as a synthetic spatial dimension, we show two particles are enough to simulate well known topological properties in condensed matter physics.
