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arXiv · 2209.12359

Measuring quantum geometric tensor of non-Abelian system in superconducting circuits

Wen Zheng·Jianwen Xu·Zhuang Ma·Yong Li·Yuqian Dong·Yu Zhang·Xiaohan Wang·Guozhu Sun·Peiheng Wu·Jie Zhao·Shaoxiong Li·Dong Lan·Xinsheng Tan·Yang Yu
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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 in non-Abelian systems, which have not been realized in practice. 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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Wen Zheng, Jianwen Xu, Zhuang Ma, Yong Li, Yuqian Dong, Yu Zhang, Xiaohan Wang, Guozhu Sun, Peiheng Wu, Jie Zhao, Shaoxiong Li, Dong Lan, Xinsheng Tan, Yang Yu. 2022-09-26. Measuring quantum geometric tensor of non-Abelian system in superconducting circuits. https://arxiv.org/abs/2209.12359

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