Phase diagram and quench dynamics of a periodically driven Haldane model

doi:10.1088/1674-1056/ad4eb3

Abstract We investigate a periodically driven Haldane model subjected to a two-stage driving scheme in the form of a step function. By using the Floquet theory, we obtain the topological phase diagram of the system. We also find that anomalous Floquet topological phases exist in the system. Focusing on examining the quench dynamics among topological phases, we analyze the site distribution of the $0$-mode and $\pi$-mode edge states in long-period evolution after a quench. The results demonstrate that, under certain conditions, the site distribution of the $0$-mode can be confined at the edge even in long-period evolution. Additionally, both the $0$-mode and $\pi$-mode can recover and become confined at the edge in long-period evolution when the post-quench parameters $\left( T,\frac{M_2}{M_1} \right) $ in the phase diagram cross away from the phase boundary $\frac{M_2}{M_1}=\frac{6\sqrt{3} t_2}{M_1}-1$. Furthermore, we conclude that whether the edge state is confined at the edge in the long-period evolution after a quench depends on the similarity of the edge states before and after the quench. Our findings reveal some new characteristics of quench dynamics in a periodically driven system.

Keywords: Floquet system Haldane model quench dynamics topological phase diagram

Received: 14 March 2024
Revised: 14 May 2024
Accepted manuscript online: 22 May 2024

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: We thank Ping Fang, Jieyun Yan, and Yueheng Lan for inspiring discussions. The project was supported by the National Natural Science Foundation of China (Grant No. 12004049).

Corresponding Authors: Minxuan Ren
E-mail: renminxuanphy@bupt.edu.cn

Cite this article:

Minxuan Ren(任民烜), Han Yang(杨焓), and Mingyuan Sun(孙明远) Phase diagram and quench dynamics of a periodically driven Haldane model 2024 Chin. Phys. B 33 090309

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Phase diagram and quench dynamics of a periodically driven Haldane model

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