Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics

doi:10.1088/1674-1056/adbd26

中国物理B ›› 2025, Vol. 34 ›› Issue (5): 50204-050204.doi: 10.1088/1674-1056/adbd26

Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics

Kangyi Hu(胡康溢), Menghua Deng(邓孟华), and Fuxiang Li(李福祥)†

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

收稿日期:2024-11-30 修回日期:2025-01-22 接受日期:2025-03-06 出版日期:2025-04-18 发布日期:2025-05-08
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 the Ministry of Science and Technology of China (Grant No. 2021YFA1200700), the National Natural Science Foundation of China (Grant Nos. 11905054 and 12275075), and the Fundamental Research Funds for the Central Universities of China.

Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics

Kangyi Hu(胡康溢), Menghua Deng(邓孟华), and Fuxiang Li(李福祥)†

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

Received:2024-11-30 Revised:2025-01-22 Accepted:2025-03-06 Online:2025-04-18 Published:2025-05-08
Contact: Fuxiang Li E-mail:fuxiangli@hnu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of the Ministry of Science and Technology of China (Grant No. 2021YFA1200700), the National Natural Science Foundation of China (Grant Nos. 11905054 and 12275075), and the Fundamental Research Funds for the Central Universities of China.

摘要/Abstract

摘要： Due to the nonunitary time evolution and possibly complex energy eigenvalues in non-Hermitian systems, it is still under debate how to properly deal with the dynamics of time-dependent non-Hermitian Hamiltonian. Recently a quantum metric framework has been proposed to study the dynamics of generated defects of a non-Hermitian system under linear quench. Here, we provide an explicit expression for the endowed Hamiltonian under quantum metric for a general two-level non-Hermitian system. Then we propose two exactly solvable models for the study of nonadiabatic dynamics of non-Hermitian systems, and analyze the defect production using the metric method. We find that, in contrast to the direct normalization method, the metric method can reproduce the symmetry of generated defects. The power-law scaling of generated defects with respect to quench time is also obtained.

关键词: quantum metric, non-Hermitian, quench, non-adiabatic

Abstract: Due to the nonunitary time evolution and possibly complex energy eigenvalues in non-Hermitian systems, it is still under debate how to properly deal with the dynamics of time-dependent non-Hermitian Hamiltonian. Recently a quantum metric framework has been proposed to study the dynamics of generated defects of a non-Hermitian system under linear quench. Here, we provide an explicit expression for the endowed Hamiltonian under quantum metric for a general two-level non-Hermitian system. Then we propose two exactly solvable models for the study of nonadiabatic dynamics of non-Hermitian systems, and analyze the defect production using the metric method. We find that, in contrast to the direct normalization method, the metric method can reproduce the symmetry of generated defects. The power-law scaling of generated defects with respect to quench time is also obtained.

Key words: quantum metric, non-Hermitian, quench, non-adiabatic

中图分类号: (Numerical approximation and analysis)

02.60.-x

02.60.Jh (Numerical differentiation and integration) 03.65.-w (Quantum mechanics) 33.50.Hv (Radiationless transitions, quenching)

Kangyi Hu(胡康溢), Menghua Deng(邓孟华), and Fuxiang Li(李福祥). Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics[J]. 中国物理B, 2025, 34(5): 50204-050204.

Kangyi Hu(胡康溢), Menghua Deng(邓孟华), and Fuxiang Li(李福祥). Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics[J]. Chin. Phys. B, 2025, 34(5): 50204-050204.

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Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics

Exactly solvable models for non-Hermitian systems under nonadiabatic quench dynamics

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