Simulating Chern insulators on a superconducting quantum processor

Zhong-Cheng Xiang, Kaixuan Huang, Yu-Ran Zhang, Tao Liu, Yun-Hao Shi, Cheng-Lin Deng, Tong Liu, Hao Li, Gui-Han Liang, Zheng-Yang Mei, Haifeng Yu, Guangming Xue, Ye Tian, Xiaohui Song, Zhi-Bo Liu, Kai Xu (), Dongning Zheng, Franco Nori () and Heng Fan ()
Additional contact information
Zhong-Cheng Xiang: Chinese Academy of Sciences
Kaixuan Huang: Chinese Academy of Sciences
Yu-Ran Zhang: South China University of Technology
Tao Liu: South China University of Technology
Yun-Hao Shi: Chinese Academy of Sciences
Cheng-Lin Deng: Chinese Academy of Sciences
Tong Liu: Chinese Academy of Sciences
Hao Li: Chinese Academy of Sciences
Gui-Han Liang: Chinese Academy of Sciences
Zheng-Yang Mei: Chinese Academy of Sciences
Haifeng Yu: Beijing Academy of Quantum Information Sciences
Guangming Xue: Beijing Academy of Quantum Information Sciences
Ye Tian: Chinese Academy of Sciences
Xiaohui Song: Chinese Academy of Sciences
Zhi-Bo Liu: Nankai University
Kai Xu: Chinese Academy of Sciences
Dongning Zheng: Chinese Academy of Sciences
Franco Nori: Cluster for Pioneering Research, RIKEN, Wako-shi
Heng Fan: Chinese Academy of Sciences

Nature Communications, 2023, vol. 14, issue 1, 1-11

Abstract: Abstract The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions on a programable 30-qubit-ladder superconducting processor. We directly measure the band structures of the 2D Chern insulator along synthetic dimensions with various configurations of Aubry-André-Harper chains and observe dynamical localisation of edge excitations. With these two signatures of topology, our experiments implement the bulk-edge correspondence in the synthetic 2D Chern insulator. Moreover, we simulate two different bilayer Chern insulators on the ladder-type superconducting processor. With the same and opposite periodically modulated on-site potentials for two coupled chains, we simulate topologically nontrivial edge states with zero Hall conductivity and a Chern insulator with higher Chern numbers, respectively. Our work shows the potential of using superconducting qubits for investigating different intriguing topological phases of quantum matter.

Date: 2023
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DOI: 10.1038/s41467-023-41230-9

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