Hard-core Hall tube in superconducting circuits

doi:10.1088/1674-1056/ac633b

中国物理B ›› 2022, Vol. 31 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/ac633b

Hard-core Hall tube in superconducting circuits

Xin Guan(关欣)^1,†, Gang Chen(陈刚)^2,3,4, Jing Pan(潘婧)¹, and Zhi-Guo Gui(桂志国)¹

1 Department of Materials and Chemical Engineering, Taiyuan University, Taiyuan 030032, China;
2 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
3 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
4 Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China

收稿日期:2022-02-18 修回日期:2022-03-16 接受日期:2022-04-01 出版日期:2022-07-18 发布日期:2022-07-27
通讯作者: Xin Guan E-mail:guanxin810712@163.com
基金资助:
Project supported by the National Key Program of the National Health Commission's "Thirteenth Five-Year Plan" (Grant No. NHFPC102018), the Ministry of Education Collaborative Education Program (Grant No. 202101029006), the Natural Science Foundation of Shanxi Province, China (Grant No. 202103021223010), the Shanxi Province Higher Education Science and Technology Innovation Program (Grant No. J2021770), and the Natural Science Foundation of Taiyuan University, China (Grant No. 21TYKQ22).

Hard-core Hall tube in superconducting circuits

Xin Guan(关欣)^1,†, Gang Chen(陈刚)^2,3,4, Jing Pan(潘婧)¹, and Zhi-Guo Gui(桂志国)¹

1 Department of Materials and Chemical Engineering, Taiyuan University, Taiyuan 030032, China;
2 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
3 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
4 Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China

Received:2022-02-18 Revised:2022-03-16 Accepted:2022-04-01 Online:2022-07-18 Published:2022-07-27
Contact: Xin Guan E-mail:guanxin810712@163.com
Supported by:
Project supported by the National Key Program of the National Health Commission's "Thirteenth Five-Year Plan" (Grant No. NHFPC102018), the Ministry of Education Collaborative Education Program (Grant No. 202101029006), the Natural Science Foundation of Shanxi Province, China (Grant No. 202103021223010), the Shanxi Province Higher Education Science and Technology Innovation Program (Grant No. J2021770), and the Natural Science Foundation of Taiyuan University, China (Grant No. 21TYKQ22).

摘要/Abstract

摘要： The Hall tube as a minimum model to simulate the integer quantum Hall effect is essential for exploring topological physics, while it has not been constructed in the recent developing successfully experiments on superconducting circuits. In this work, we propose a feasible experiment scheme using three legs superconducting circuits with transmon qubits to realize a Hall tube. Then we first investigate its topological properties. Since the time-reversal, particle-hole, and chiral symmetries are all broken for the system, the Hall tube belongs to the A class of the Altland-Zirnbauer classification. We obtain the corresponding topological phase transition both numerically and analytically. Since the chirality is a key character of the quantum Hall effect, we secondly investigate the chiral physics in the Hall tube. We find the topological protected chiral edge currents and discuss its robustness. Finally, we give the possible experimental observations of the topological state and topological protected chiral edge currents.

关键词: Hall tube, superconducting circuits, topological phase transition, chiral edge currents

Abstract: The Hall tube as a minimum model to simulate the integer quantum Hall effect is essential for exploring topological physics, while it has not been constructed in the recent developing successfully experiments on superconducting circuits. In this work, we propose a feasible experiment scheme using three legs superconducting circuits with transmon qubits to realize a Hall tube. Then we first investigate its topological properties. Since the time-reversal, particle-hole, and chiral symmetries are all broken for the system, the Hall tube belongs to the A class of the Altland-Zirnbauer classification. We obtain the corresponding topological phase transition both numerically and analytically. Since the chirality is a key character of the quantum Hall effect, we secondly investigate the chiral physics in the Hall tube. We find the topological protected chiral edge currents and discuss its robustness. Finally, we give the possible experimental observations of the topological state and topological protected chiral edge currents.

Key words: Hall tube, superconducting circuits, topological phase transition, chiral edge currents

中图分类号: (Quantum algorithms, protocols, and simulations)

03.67.Ac

73.43.-f (Quantum Hall effects) 85.25.Cp (Josephson devices) 71.10.-w (Theories and models of many-electron systems)

Xin Guan(关欣), Gang Chen(陈刚), Jing Pan(潘婧), and Zhi-Guo Gui(桂志国). Hard-core Hall tube in superconducting circuits[J]. 中国物理B, 2022, 31(8): 80302-080302.

Xin Guan(关欣), Gang Chen(陈刚), Jing Pan(潘婧), and Zhi-Guo Gui(桂志国). Hard-core Hall tube in superconducting circuits[J]. Chin. Phys. B, 2022, 31(8): 80302-080302.

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Hard-core Hall tube in superconducting circuits

Hard-core Hall tube in superconducting circuits

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