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arXiv 2211.03338quant-ph
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双粒子拓扑Thouless自旋泵

Two-particle topological Thouless spin pump

J. Mumford

摘要:

我们表明,通过自旋交换相互作用的两个粒子表现出在一维单粒子晶格模型中发现的拓扑特征。这是通过将晶格的所有空间自由度吸收到两个粒子的自旋自由度中来实现的。通过与Su-Schrieffer-Heeger模型的比较,我们证明了拓扑保护的边自旋态的存在,并建立了体-边对应.用手征对称性破缺项修改自旋系统导致它类似于Rice-Mele模型,因此当周期性和周期性地驱动时,可以充当其中一个粒子的无自旋泵。通过使用自旋态作为一个合成的空间维度,我们证明了两个粒子足以模拟凝聚态物理中众所周知的拓扑性质。

英文摘要:

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.

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