光学Floquet准晶中大陈数的Thouless泵浦
Thouless Pumping of Large Chern Numbers in Optical Floquet Quasicrystals
AI总结：
本文提出在冷原子光学Floquet准晶中实现大陈数的方案，并通过Thouless泵浦直接测量，利用能隙标定定理表征陈数，揭示了输运特性与准能谱的联系。
摘要：
陈数是关联和拓扑现象的核心，但大多数拓扑系统对应的陈数量级为1。本文提出了一种在冷原子光学Floquet准晶中实现大陈数的方案，可通过Thouless泵浦直接测量。我们研究了Floquet准晶的准能谱，并利用能隙标定定理表征了涌现的陈数。我们进一步研究了不同驱动频率和振幅下Floquet准晶中的Thouless泵浦，揭示了输运特性与准能谱之间的联系。我们的发现为探索Floquet准晶中丰富的拓扑动力学以及实现分数量子陈绝缘态开辟了新途径。
英文摘要：
Chern numbers are central to correlated and topological phenomena, yet most topological systems are associated with Chern numbers of order unity. Here we propose a scheme to achieve large Chern numbers in an optical Floquet quasicrystal with cold atoms, which can be directly measured via Thouless pumping. We study the quasienergy spectrum of Floquet quasicrystals and characterize the emergent Chern numbers using gap labeling theorem. We further investigate the Thouless pumping in the Floquet quasicrystal at different driving frequencies and amplitudes, revealing the connection between transport features and the quasienergy spectrum. Our findings open new avenues for exploring rich topological dynamics in Floquet quasicrystals and realizing fractional Chern insulating states.
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