New approach to measuring topological phase transitions utilizing Floquet technology

doi:10.1088/1674-1056/ad5d94

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.

Keywords: topological phase transition Floquet technique ion trap

Received: 18 May 2024
Revised: 26 June 2024
Accepted manuscript online: 02 July 2024

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	42.50.Dv	(Quantum state engineering and measurements)
	37.10.Ty	(Ion trapping)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11904402, 12174447, 12074433, 12004430, and 12174448).

Corresponding Authors: Wei Wu, Ping-Xing Chen
E-mail: weiwu@nudt.edu.cn;pxchen@nudt.edu.cn

Cite this article:

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 2024 Chin. Phys. B 33 090305

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