Interplay between topology and localization on superconducting circuits

doi:10.1088/1674-1056/ad342c

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60311-060311.doi: 10.1088/1674-1056/ad342c

Interplay between topology and localization on superconducting circuits

Xin Guan(关欣)^1,†, Bingyan Huo(霍炳燕)¹, and Gang Chen(陈刚)^2,3,4

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 School of Physics, Zhengzhou University, Zhengzhou 450001, China

收稿日期:2023-12-22 修回日期:2024-03-09 接受日期:2024-03-15 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Xin Guan E-mail:guanxin810712@163.com
基金资助:
Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 202103021223010).

Interplay between topology and localization on superconducting circuits

Xin Guan(关欣)^1,†, Bingyan Huo(霍炳燕)¹, and Gang Chen(陈刚)^2,3,4

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 School of Physics, Zhengzhou University, Zhengzhou 450001, China

Received:2023-12-22 Revised:2024-03-09 Accepted:2024-03-15 Online:2024-06-18 Published:2024-06-18
Contact: Xin Guan E-mail:guanxin810712@163.com
Supported by:
Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 202103021223010).

摘要/Abstract

摘要： Topological insulators occupy a prominent position in the realm of condensed matter physics. Nevertheless, the presence of strong disorder has the potential to disrupt the integrity of topological states, leading to the localization of all states. This study delves into the intricate interplay between topology and localization within the one-dimensional Su-Schrieffer-Heeger (SSH) model, which incorporates controllable off-diagonal quasi-periodic modulations on superconducting circuits. Through the application of external alternating current (ac) magnetic fluxes, each transmon undergoes controlled driving, enabling independent tuning of all coupling strengths. Within a framework of this model, we construct comprehensive phase diagrams delineating regions characterized by extended topologically nontrivial states, critical localization, and co-existing topological and critical localization phases. The paper also addresses the dynamics of qubit excitations, elucidating distinct quantum state transfers resulting from the intricate interplay between topology and localization. Additionally, we propose a method for detecting diverse quantum phases utilizing existing experimental setups.

关键词: topology, localization, superconducting circuits

Abstract: Topological insulators occupy a prominent position in the realm of condensed matter physics. Nevertheless, the presence of strong disorder has the potential to disrupt the integrity of topological states, leading to the localization of all states. This study delves into the intricate interplay between topology and localization within the one-dimensional Su-Schrieffer-Heeger (SSH) model, which incorporates controllable off-diagonal quasi-periodic modulations on superconducting circuits. Through the application of external alternating current (ac) magnetic fluxes, each transmon undergoes controlled driving, enabling independent tuning of all coupling strengths. Within a framework of this model, we construct comprehensive phase diagrams delineating regions characterized by extended topologically nontrivial states, critical localization, and co-existing topological and critical localization phases. The paper also addresses the dynamics of qubit excitations, elucidating distinct quantum state transfers resulting from the intricate interplay between topology and localization. Additionally, we propose a method for detecting diverse quantum phases utilizing existing experimental setups.

Key words: topology, localization, superconducting circuits

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), Bingyan Huo(霍炳燕), and Gang Chen(陈刚). Interplay between topology and localization on superconducting circuits[J]. 中国物理B, 2024, 33(6): 60311-060311.

Xin Guan(关欣), Bingyan Huo(霍炳燕), and Gang Chen(陈刚). Interplay between topology and localization on superconducting circuits[J]. Chin. Phys. B, 2024, 33(6): 60311-060311.

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Interplay between topology and localization on superconducting circuits

Interplay between topology and localization on superconducting circuits

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