中国物理B ›› 2024, Vol. 33 ›› Issue (1): 13102-13102.doi: 10.1088/1674-1056/acfa89

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High-order harmonic generation of ZnO crystals in chirped and static electric fields

Ling-Yu Zhang(张玲玉)1, Yong-Lin He(何永林)2,3, Zhuo-Xuan Xie(谢卓璇)1, Fang-Yan Gao(高芳艳)1, Qing-Yun Xu(徐清芸)1, Xin-Lei Ge(葛鑫磊)4, Xiang-Yi Luo(罗香怡)5,†, and Jing Guo(郭静)1,‡   

  1. 1 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;
    2 School of Physics and Electromechanical Engineering, Hexi University, Zhangye 734000, China;
    3 Institute of Theoretical Physics, Hexi University, Zhangye 734000, China;
    4 College of Physical Science and Technology, Bohai University, Jinzhou 121013, China;
    5 College of Physics and Electronic Information, Baicheng Normal University, Baicheng 137000, China
  • 收稿日期:2023-07-23 修回日期:2023-09-07 接受日期:2023-09-18 出版日期:2023-12-13 发布日期:2023-12-28
  • 通讯作者: Xiang-Yi Luo, Jing Guo E-mail:luoxylgq@163.com;gjing@jlu.edu.cn
  • 基金资助:
    This work was supported by the Natural Science Foundation of Jilin Province (Grant No. 20220101010JC) and the National Natural Science Foundation of China (Grant No. 12074146).

High-order harmonic generation of ZnO crystals in chirped and static electric fields

Ling-Yu Zhang(张玲玉)1, Yong-Lin He(何永林)2,3, Zhuo-Xuan Xie(谢卓璇)1, Fang-Yan Gao(高芳艳)1, Qing-Yun Xu(徐清芸)1, Xin-Lei Ge(葛鑫磊)4, Xiang-Yi Luo(罗香怡)5,†, and Jing Guo(郭静)1,‡   

  1. 1 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;
    2 School of Physics and Electromechanical Engineering, Hexi University, Zhangye 734000, China;
    3 Institute of Theoretical Physics, Hexi University, Zhangye 734000, China;
    4 College of Physical Science and Technology, Bohai University, Jinzhou 121013, China;
    5 College of Physics and Electronic Information, Baicheng Normal University, Baicheng 137000, China
  • Received:2023-07-23 Revised:2023-09-07 Accepted:2023-09-18 Online:2023-12-13 Published:2023-12-28
  • Contact: Xiang-Yi Luo, Jing Guo E-mail:luoxylgq@163.com;gjing@jlu.edu.cn
  • Supported by:
    This work was supported by the Natural Science Foundation of Jilin Province (Grant No. 20220101010JC) and the National Natural Science Foundation of China (Grant No. 12074146).

摘要: High harmonic generation in ZnO crystals under chirped single-color field and static electric field are investigated by solving the semiconductor Bloch equation (SBE). It is found that when the chirp pulse is introduced, the interference structure becomes obvious while the harmonic cutoff is not extended. Furthermore, the harmonic efficiency is improved when the static electric field is included. These phenomena are demonstrated by the classical recollision model in real space affected by the waveform of laser field and inversion symmetry. Specifically, the electron motion in k-space shows that the change of waveform and the destruction of the symmetry of the laser field lead to the incomplete X-structure of the crystal-momentum-resolved (k-resolved) inter-band harmonic spectrum. Furthermore, a pre-acceleration process in the solid four-step model is confirmed.

关键词: high-order harmonic generation, the semiconductor Bloch equation, k-resolved inter-band harmonic spectrum, four-step semiclassical model

Abstract: High harmonic generation in ZnO crystals under chirped single-color field and static electric field are investigated by solving the semiconductor Bloch equation (SBE). It is found that when the chirp pulse is introduced, the interference structure becomes obvious while the harmonic cutoff is not extended. Furthermore, the harmonic efficiency is improved when the static electric field is included. These phenomena are demonstrated by the classical recollision model in real space affected by the waveform of laser field and inversion symmetry. Specifically, the electron motion in k-space shows that the change of waveform and the destruction of the symmetry of the laser field lead to the incomplete X-structure of the crystal-momentum-resolved (k-resolved) inter-band harmonic spectrum. Furthermore, a pre-acceleration process in the solid four-step model is confirmed.

Key words: high-order harmonic generation, the semiconductor Bloch equation, k-resolved inter-band harmonic spectrum, four-step semiclassical model

中图分类号:  (Quantum description of interaction of light and matter; related experiments)

  • 42.50.Ct
31.15.-p (Calculations and mathematical techniques in atomic and molecular physics) 31.15.xg (Semiclassical methods)