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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* |
1National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China
2School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China
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Wen Zheng, Jianwen Xu, Zhuang Ma et al 2022 Chin. Phys. Lett. 39 100202 |
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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.
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Received: 09 August 2022
Express Letter
Published: 08 September 2022
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