Comparison of high-order harmonic generation in defect-free and defective solids with different time delays

doi:10.1088/1674-1056/addd82

中国物理B ›› 2025, Vol. 34 ›› Issue (12): 123201-123201.doi: 10.1088/1674-1056/addd82

Comparison of high-order harmonic generation in defect-free and defective solids with different time delays

Shujie Zhao(赵书杰)¹, Yuanzuo Li(李源作)¹, Jun Zhang(张军)², and Xuefei Pan(潘雪飞)^1,†

1 College of Science, Northeast Forestry University, Harbin 150040, China;
2 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

收稿日期:2025-04-03 修回日期:2025-05-22 接受日期:2025-05-28 发布日期:2025-12-15
通讯作者: Xuefei Pan E-mail:panxf@nefu.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Jilin Province of China (Grant No. 20230101014JC), the Fundamental Research Funds for the Central Universities (Grant No. 2572021BC05), and the National Natural Science Foundation of China (Grant No. 12374265).

Comparison of high-order harmonic generation in defect-free and defective solids with different time delays

Shujie Zhao(赵书杰)¹, Yuanzuo Li(李源作)¹, Jun Zhang(张军)², and Xuefei Pan(潘雪飞)^1,†

1 College of Science, Northeast Forestry University, Harbin 150040, China;
2 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

Received:2025-04-03 Revised:2025-05-22 Accepted:2025-05-28 Published:2025-12-15
Contact: Xuefei Pan E-mail:panxf@nefu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Jilin Province of China (Grant No. 20230101014JC), the Fundamental Research Funds for the Central Universities (Grant No. 2572021BC05), and the National Natural Science Foundation of China (Grant No. 12374265).

摘要/Abstract

摘要： We theoretically investigate the high-order harmonic generation (HHG) of defect-free solids by solving the time-dependent Schrödinger equation (TDSE). The results show that the harmonic intensity can be enhanced, harmonic order can be extended, and modulation near the cutoff order becomes smaller for the second plateau by increasing the time delay. These effects are due to an increase of the electron population in higher energy bands, where the larger band gap allows electrons to release more energy, and the long electronic paths are suppressed. Additionally, we also investigate the HHG of defective solids by Bohmian trajectories (BT). It is found that the harmonic intensity of the second plateau can be further enhanced. Simultaneously, cutoff order is also extended due to Bohmian particles moving farther away from the defective zone.

关键词: high-order harmonic generation, defective solids, Bohmian trajectories

Abstract: We theoretically investigate the high-order harmonic generation (HHG) of defect-free solids by solving the time-dependent Schrödinger equation (TDSE). The results show that the harmonic intensity can be enhanced, harmonic order can be extended, and modulation near the cutoff order becomes smaller for the second plateau by increasing the time delay. These effects are due to an increase of the electron population in higher energy bands, where the larger band gap allows electrons to release more energy, and the long electronic paths are suppressed. Additionally, we also investigate the HHG of defective solids by Bohmian trajectories (BT). It is found that the harmonic intensity of the second plateau can be further enhanced. Simultaneously, cutoff order is also extended due to Bohmian particles moving farther away from the defective zone.

Key words: high-order harmonic generation, defective solids, Bohmian trajectories

中图分类号: (Multiphoton ionization and excitation to highly excited states)

32.80.Rm

42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation) 78.67.Bf (Nanocrystals, nanoparticles, and nanoclusters)

Shujie Zhao(赵书杰), Yuanzuo Li(李源作), Jun Zhang(张军), and Xuefei Pan(潘雪飞). Comparison of high-order harmonic generation in defect-free and defective solids with different time delays[J]. 中国物理B, 2025, 34(12): 123201-123201.

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Comparison of high-order harmonic generation in defect-free and defective solids with different time delays

Comparison of high-order harmonic generation in defect-free and defective solids with different time delays

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