Measuring Quantum Geometric Tensor of Non-Abelian System in Superconducting Circuits
Wen Zheng1† , Jianwen Xu1† , Zhuang Ma1 , Yong Li1 , Yuqian Dong1 , Yu Zhang1 , Xiaohan Wang1 , Guozhu Sun2 , Peiheng Wu2 , Jie Zhao1 , Shaoxiong Li1 , Dong Lan1* , Xinsheng Tan1* , and Yang Yu1*
1 National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China2 School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China
Abstract ：Topology played an important role in physics research during the last few decades. In particular, the quantum geometric tensor that provides local information about topological properties has attracted much attention. It will reveal interesting topological properties but have not been measured in non-Abelian systems. Here, we use a four-qubit quantum system in superconducting circuits to construct a degenerate Hamiltonian with parametric modulation. By manipulating the Hamiltonian with periodic drivings, we simulate the Bernevig–Hughes–Zhang model and obtain the quantum geometric tensor from interference oscillation. In addition, we reveal its topological feature by extracting the topological invariant, demonstrating an effective protocol for quantum simulation of a non-Abelian system.
收稿日期: 2022-08-09
Express Letter
出版日期: 2022-09-08
引用本文:
. [J]. 中国物理快报, 2022, 39(10): 100202-100202.
链接本文:
https://cpl.iphy.ac.cn/CN/10.1088/0256-307X/39/10/100202
或
https://cpl.iphy.ac.cn/CN/Y2022/V39/I10/100202
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2022, Vol. 39 
