New approach to measuring topological phase transitions utilizing Floquet technology

doi:10.1088/1674-1056/ad5d94

中国物理B ›› 2024, Vol. 33 ›› Issue (9): 90305-090305.doi: 10.1088/1674-1056/ad5d94

New approach to measuring topological phase transitions utilizing Floquet technology

Xue-Ying Yang(杨雪滢), Wei Wu(吴伟)†, and Ping-Xing Chen(陈平形)‡

College of Sciences, National University of Defense Technology, Changsha 410073, China

收稿日期:2024-05-18 修回日期:2024-06-26 接受日期:2024-07-02 出版日期:2024-09-15 发布日期:2024-08-15
通讯作者: Wei Wu, Ping-Xing Chen E-mail:weiwu@nudt.edu.cn;pxchen@nudt.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11904402, 12174447, 12074433, 12004430, and 12174448).

New approach to measuring topological phase transitions utilizing Floquet technology

Xue-Ying Yang(杨雪滢), Wei Wu(吴伟)†, and Ping-Xing Chen(陈平形)‡

College of Sciences, National University of Defense Technology, Changsha 410073, China

Received:2024-05-18 Revised:2024-06-26 Accepted:2024-07-02 Online:2024-09-15 Published:2024-08-15
Contact: Wei Wu, Ping-Xing Chen E-mail:weiwu@nudt.edu.cn;pxchen@nudt.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11904402, 12174447, 12074433, 12004430, and 12174448).

摘要/Abstract

摘要： The Floquet technique provides a novel anomalous topological phase for non-equilibrium phase transitions. Based on the high symmetry of the quantum anomalous Hall model, the findings suggest a one-to-one correspondence between the average spin texture and the Floquet quasi-energy spectrum. A new approach is proposed to directly measure the quasi-energy spectrum, replacing previous measurements of the average spin texture. Finally, we proposed a reliable experimental scheme based on ion trap platforms. This scheme markedly reduces the measurement workload, improves the measurement fidelity, and is applicable to multiple platforms such as cold atoms and nuclear magnetic resonance.

关键词: topological phase transition, Floquet technique, ion trap

Abstract: The Floquet technique provides a novel anomalous topological phase for non-equilibrium phase transitions. Based on the high symmetry of the quantum anomalous Hall model, the findings suggest a one-to-one correspondence between the average spin texture and the Floquet quasi-energy spectrum. A new approach is proposed to directly measure the quasi-energy spectrum, replacing previous measurements of the average spin texture. Finally, we proposed a reliable experimental scheme based on ion trap platforms. This scheme markedly reduces the measurement workload, improves the measurement fidelity, and is applicable to multiple platforms such as cold atoms and nuclear magnetic resonance.

Key words: topological phase transition, Floquet technique, ion trap

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

42.50.Dv (Quantum state engineering and measurements) 37.10.Ty (Ion trapping)

Xue-Ying Yang(杨雪滢), Wei Wu(吴伟), and Ping-Xing Chen(陈平形). New approach to measuring topological phase transitions utilizing Floquet technology[J]. 中国物理B, 2024, 33(9): 90305-090305.

Xue-Ying Yang(杨雪滢), Wei Wu(吴伟), and Ping-Xing Chen(陈平形). New approach to measuring topological phase transitions utilizing Floquet technology[J]. Chin. Phys. B, 2024, 33(9): 90305-090305.

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New approach to measuring topological phase transitions utilizing Floquet technology

New approach to measuring topological phase transitions utilizing Floquet technology

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