Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases

doi:10.1088/1674-1056/acd0a5

中国物理B ›› 2023, Vol. 32 ›› Issue (8): 80304-080304.doi: 10.1088/1674-1056/acd0a5

Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases

Rui Wu(邬睿), Panpan Fang(房盼攀), Chen Sun(孙辰), and Fuxiang Li(李福祥)^†

School of Physics and Electronics, Hunan University, Changsha 410082, China

收稿日期:2023-01-07 修回日期:2023-04-23 接受日期:2023-04-27 发布日期:2023-07-27
通讯作者: Fuxiang Li E-mail:fuxiangli@hnu.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No.2021YFA1200700), the National Natural Science Foundation of China (Grant Nos.11905054, 12275075 and 12105094), and the Fundamental Research Funds for the Central Universities of China.

Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases

Rui Wu(邬睿), Panpan Fang(房盼攀), Chen Sun(孙辰), and Fuxiang Li(李福祥)^†

School of Physics and Electronics, Hunan University, Changsha 410082, China

Received:2023-01-07 Revised:2023-04-23 Accepted:2023-04-27 Published:2023-07-27
Contact: Fuxiang Li E-mail:fuxiangli@hnu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No.2021YFA1200700), the National Natural Science Foundation of China (Grant Nos.11905054, 12275075 and 12105094), and the Fundamental Research Funds for the Central Universities of China.

摘要/Abstract

摘要： Previous studies have shown that the bulk topology of single-particle systems can be captured by the band inversion surface or by the spin inversion surface emerging on the time-averaged spin polarization. Most of the studies, however, are based on the single-particle picture even though the systems are fermionic and multi-bands. Here, we study the slow quench dynamics of topological systems with all the valence bands fully occupied, and show that the concepts of band inversion surface and spin inversion surface are still valid. More importantly, the many-particle nonadiabatic quench dynamics is shown to be reduced to a new and nontrivial three-level Landau-Zener model. This nontrivial three-level Landau-Zener problem is then solved analytically by applying the integrability condition and symmetry considerations, and thus adds a new member to the few models that are exactly solvable. Based on the analytical results, the topological spin texture revealed by the time-averaged spin polarization can be applied to characterize the bulk topology and thus provides a direct comparison for future experiments.

关键词: Landau-Zener, slow quench, nonadiabatic

Abstract: Previous studies have shown that the bulk topology of single-particle systems can be captured by the band inversion surface or by the spin inversion surface emerging on the time-averaged spin polarization. Most of the studies, however, are based on the single-particle picture even though the systems are fermionic and multi-bands. Here, we study the slow quench dynamics of topological systems with all the valence bands fully occupied, and show that the concepts of band inversion surface and spin inversion surface are still valid. More importantly, the many-particle nonadiabatic quench dynamics is shown to be reduced to a new and nontrivial three-level Landau-Zener model. This nontrivial three-level Landau-Zener problem is then solved analytically by applying the integrability condition and symmetry considerations, and thus adds a new member to the few models that are exactly solvable. Based on the analytical results, the topological spin texture revealed by the time-averaged spin polarization can be applied to characterize the bulk topology and thus provides a direct comparison for future experiments.

Key words: Landau-Zener, slow quench, nonadiabatic

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

03.65.Vf

33.50.Hv (Radiationless transitions, quenching) 71.70.Di (Landau levels)

Rui Wu(邬睿), Panpan Fang(房盼攀), Chen Sun(孙辰), and Fuxiang Li(李福祥). Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases[J]. 中国物理B, 2023, 32(8): 80304-080304.

Rui Wu(邬睿), Panpan Fang(房盼攀), Chen Sun(孙辰), and Fuxiang Li(李福祥). Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases[J]. Chin. Phys. B, 2023, 32(8): 80304-080304.

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Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases

Exact solution of slow quench dynamics and nonadiabatic characterization of topological phases

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