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arXiv 2409.20136cond-mat.mes-hallcond-mat.quant-gasquant-ph
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Rice-Mele梯子中的非阿贝尔Thouless泵浦

Non-Abelian Thouless pumping in a Rice-Mele ladder

Carlo Danieli, Valentina Brosco, Laura Pilozzi, Roberta Citro

AI总结:

本文提出一种具有两个双重简并能带的Rice-Mele梯子模型,通过绝热操控晶格参数实现非阿贝尔Thouless泵浦,同时产生态位移和简并子空间内的几何幺正变换,并可用光学晶格冷原子系统进行实验验证。

摘要:

非阿贝尔Thouless泵浦将绝热量子控制与拓扑量子输运交织在一起,并在量子计量和量子计算方面具有潜力。在这项工作中,我们引入了一个具有两个双重简并能带的梯子模型,并证明对晶格参数的绝热操控会导致非阿贝尔Thouless泵浦,既引起初始局域态的位移,又在简并子空间内产生几何幺正变换。此外,我们证明该梯子模型的结构和对称性可以通过其与Yang单极子模型的联系来理解。所提出的哈密顿量可以利用光学晶格中的冷原子来实现,从而使得在真正的量子多体系统中实验演示非阿贝尔Thouless泵浦成为可能。

英文摘要:

Non-Abelian Thouless pumping intertwines adiabatic quantum control and topological quantum transport and it holds potential for quantum metrology and computing. In this work, we introduce a ladder model featuring two doubly-degenerate bands and we show that adiabatic manipulation of the lattice parameters results in non-Abelian Thouless pumping, inducing both the displacement of an initially localized state and a geometric unitary transformation within the degenerate subspace. Additionally, we show that the structure and symmetry of the ladder model can be understood through its connection to a Yang monopole model. The proposed Hamiltonian can be realized using cold atoms in optical lattices, enabling the experimental demonstration of non-Abelian Thouless pumping in a genuinely quantum many-body system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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