Dynamical localization in a non-Hermitian Floquet synthetic system

doi:10.1088/1674-1056/ad36bb

中国物理B ›› 2024, Vol. 33 ›› Issue (5): 50507-050507.doi: 10.1088/1674-1056/ad36bb

Dynamical localization in a non-Hermitian Floquet synthetic system

Han Ke(可汗)¹, Jiaming Zhang(张嘉明)¹, Liang Huo(霍良)², and Wen-Lei Zhao(赵文垒)^1,†

1 School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2 School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China

收稿日期:2024-02-19 修回日期:2024-03-20 接受日期:2024-03-22 出版日期:2024-05-20 发布日期:2024-05-20
通讯作者: Wen-Lei Zhao E-mail:wlzhao@jxust.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12065009 and 12365002) and the Science and Technology Planning Project of Jiangxi Province of China (Grant Nos. 20224ACB201006 and 20224BAB201023).

Dynamical localization in a non-Hermitian Floquet synthetic system

Han Ke(可汗)¹, Jiaming Zhang(张嘉明)¹, Liang Huo(霍良)², and Wen-Lei Zhao(赵文垒)^1,†

1 School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2 School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China

Received:2024-02-19 Revised:2024-03-20 Accepted:2024-03-22 Online:2024-05-20 Published:2024-05-20
Contact: Wen-Lei Zhao E-mail:wlzhao@jxust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12065009 and 12365002) and the Science and Technology Planning Project of Jiangxi Province of China (Grant Nos. 20224ACB201006 and 20224BAB201023).

摘要/Abstract

摘要： We investigate the non-Hermitian effects on quantum diffusion in a kicked rotor model where the complex kicking potential is quasi-periodically modulated in the time domain. The synthetic space with arbitrary dimension can be created by incorporating incommensurate frequencies in the quasi-periodical modulation. In the Hermitian case, strong kicking induces the chaotic diffusion in the four-dimension momentum space characterized by linear growth of mean energy. We find that the quantum coherence in deep non-Hermitian regime can effectively suppress the chaotic diffusion and hence result in the emergence of dynamical localization. Moreover, the extent of dynamical localization is dramatically enhanced by increasing the non-Hermitian parameter. Interestingly, the quasi-energies become complex when the non-Hermitian parameter exceeds a certain threshold value. The quantum state will finally evolve to a quasi-eigenstate for which the imaginary part of its quasi-energy is large most. The exponential localization length decreases with the increase of the non-Hermitian parameter, unveiling the underlying mechanism of the enhancement of the dynamical localization by non-Hermiticity.

关键词: Floquet system, non-Hermitian physics, dynamical localization

Abstract: We investigate the non-Hermitian effects on quantum diffusion in a kicked rotor model where the complex kicking potential is quasi-periodically modulated in the time domain. The synthetic space with arbitrary dimension can be created by incorporating incommensurate frequencies in the quasi-periodical modulation. In the Hermitian case, strong kicking induces the chaotic diffusion in the four-dimension momentum space characterized by linear growth of mean energy. We find that the quantum coherence in deep non-Hermitian regime can effectively suppress the chaotic diffusion and hence result in the emergence of dynamical localization. Moreover, the extent of dynamical localization is dramatically enhanced by increasing the non-Hermitian parameter. Interestingly, the quasi-energies become complex when the non-Hermitian parameter exceeds a certain threshold value. The quantum state will finally evolve to a quasi-eigenstate for which the imaginary part of its quasi-energy is large most. The exponential localization length decreases with the increase of the non-Hermitian parameter, unveiling the underlying mechanism of the enhancement of the dynamical localization by non-Hermiticity.

Key words: Floquet system, non-Hermitian physics, dynamical localization

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Mt (Quantum chaos; semiclassical methods) 05.45.Pq (Numerical simulations of chaotic systems)

Han Ke(可汗), Jiaming Zhang(张嘉明), Liang Huo(霍良), and Wen-Lei Zhao(赵文垒). Dynamical localization in a non-Hermitian Floquet synthetic system[J]. 中国物理B, 2024, 33(5): 50507-050507.

Han Ke(可汗), Jiaming Zhang(张嘉明), Liang Huo(霍良), and Wen-Lei Zhao(赵文垒). Dynamical localization in a non-Hermitian Floquet synthetic system[J]. Chin. Phys. B, 2024, 33(5): 50507-050507.

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Dynamical localization in a non-Hermitian Floquet synthetic system

Dynamical localization in a non-Hermitian Floquet synthetic system

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