Characterization of topological phase of superlattices in superconducting circuits

doi:10.1088/1674-1056/ac5612

中国物理B ›› 2022, Vol. 31 ›› Issue (8): 88501-088501.doi: 10.1088/1674-1056/ac5612

Characterization of topological phase of superlattices in superconducting circuits

Jianfei Chen(陈健菲)^1,2, Chaohua Wu(吴超华)^1,2,†, Jingtao Fan(樊景涛)^1,2, and Gang Chen(陈刚)^1,2,3

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

收稿日期:2021-10-30 修回日期:2022-02-14 接受日期:2022-02-17 出版日期:2022-07-18 发布日期:2022-07-18
通讯作者: Chaohua Wu E-mail:sxwuchua@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12034012, 12074232,12125406, and 11804204) and 1331KSC.

Characterization of topological phase of superlattices in superconducting circuits

Jianfei Chen(陈健菲)^1,2, Chaohua Wu(吴超华)^1,2,†, Jingtao Fan(樊景涛)^1,2, and Gang Chen(陈刚)^1,2,3

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

Received:2021-10-30 Revised:2022-02-14 Accepted:2022-02-17 Online:2022-07-18 Published:2022-07-18
Contact: Chaohua Wu E-mail:sxwuchua@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12034012, 12074232,12125406, and 11804204) and 1331KSC.

摘要/Abstract

摘要： The recent experimental observation of topological magnon insulator states in a superconducting circuit chain marks a breakthrough for topological physics with qubits, in which a dimerized qubit chain has been realized. Here, we extend such a dimer lattice to superlattice with arbitrary number of qubits in each unit cell in superconducting circuits, which exhibits rich topological properties. Specifically, by considering a quadrimeric superlattice, we show that the topological invariant (winding number) can be effectively characterized by the dynamics of the single-excitation quantum state through time-dependent quantities. Moreover, we explore the appearance and detection of the topological protected edge states in such a multiband qubit system. Finally, we also demonstrate the stable Bloch-like-oscillation of multiple interface states induced by the interference of them. Our proposal can be readily realized in experiment and may pave the way towards the investigation of topological quantum phases and topologically protected quantum information processing.

关键词: superconducting circuits, topological phase transition, edge state, interface state

Abstract: The recent experimental observation of topological magnon insulator states in a superconducting circuit chain marks a breakthrough for topological physics with qubits, in which a dimerized qubit chain has been realized. Here, we extend such a dimer lattice to superlattice with arbitrary number of qubits in each unit cell in superconducting circuits, which exhibits rich topological properties. Specifically, by considering a quadrimeric superlattice, we show that the topological invariant (winding number) can be effectively characterized by the dynamics of the single-excitation quantum state through time-dependent quantities. Moreover, we explore the appearance and detection of the topological protected edge states in such a multiband qubit system. Finally, we also demonstrate the stable Bloch-like-oscillation of multiple interface states induced by the interference of them. Our proposal can be readily realized in experiment and may pave the way towards the investigation of topological quantum phases and topologically protected quantum information processing.

Key words: superconducting circuits, topological phase transition, edge state, interface state

中图分类号: (Superconducting devices)

85.25.-j

03.67.Ac (Quantum algorithms, protocols, and simulations)

Jianfei Chen(陈健菲), Chaohua Wu(吴超华), Jingtao Fan(樊景涛), and Gang Chen(陈刚). Characterization of topological phase of superlattices in superconducting circuits[J]. 中国物理B, 2022, 31(8): 88501-088501.

Jianfei Chen(陈健菲), Chaohua Wu(吴超华), Jingtao Fan(樊景涛), and Gang Chen(陈刚). Characterization of topological phase of superlattices in superconducting circuits[J]. Chin. Phys. B, 2022, 31(8): 88501-088501.

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Characterization of topological phase of superlattices in superconducting circuits

Characterization of topological phase of superlattices in superconducting circuits

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