Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators,Physical Review Letters

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Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-09-23 , DOI: 10.1103/physrevlett.127.136802
Qing-Xian Lv _{1,

2} , Yan-Xiong Du ₁ , Zhen-Tao Liang ₁ , Hong-Zhi Liu ₁ , Jia-Hao Liang ₁ , Lin-Qing Chen ₁ , Li-Ming Zhou ₁ , Shan-Chao Zhang _{1,

2} , Dan-Wei Zhang _{1,

2} , Bao-Quan Ai _{1,

2} , Hui Yan _{1,

2} , Shi-Liang Zhu _{1,

2}

Affiliation

The topology of quantum systems has become a topic of great interest since the discovery of topological insulators. However, as a hallmark of the topological insulators, the spin Chern number has not yet been experimentally detected. The challenge to directly measure this topological invariant lies in the fact that this spin Chern number is defined based on artificially constructed wave functions. Here we experimentally mimic the celebrated Bernevig-Hughes-Zhang model with cold atoms, and then measure the spin Chern number with the linear response theory. We observe that, although the Chern number for each spin component is ill defined, the spin Chern number measured by their difference is still well defined when both energy and spin gaps are nonvanished.

中文翻译：

量子模拟拓扑绝缘体中自旋陈数的测量

自从发现拓扑绝缘体以来，量子系统的拓扑结构已成为人们非常感兴趣的话题。然而，作为拓扑绝缘体的一个标志，自旋陈数还没有被实验检测到。直接测量这个拓扑不变量的挑战在于，这个自旋陈数是基于人工构建的波函数定义的。在这里，我们用冷原子实验模拟著名的 Bernevig-Hughes-Zhang 模型，然后用线性响应理论测量自旋陈数。我们观察到，虽然每个自旋分量的陈数定义不明确，但当能量和自旋间隙都没有消失时，通过它们的差异测量的自旋陈数仍然是明确定义的。

更新日期：2021-09-23

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