中国物理B ›› 2020, Vol. 29 ›› Issue (9): 93204-093204.doi: 10.1088/1674-1056/aba09e

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Resonance-enhanced two-photon ionization of hydrogen atom in intense laser field investigated by Bohmian-mechanics

Yang Song(宋阳), Shu Han(韩姝), Yu-Jun Yang(杨玉军), Fu-Ming Guo(郭福明), Su-Yu Li(李苏宇)   

  1. 1 College of Science, Northeast Electric Power University, Jilin 132012, China;
    2 Archives, Northeast Electric Power University, Jilin 132012, China;
    3 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China
  • 收稿日期:2020-05-13 修回日期:2020-06-12 接受日期:2020-06-29 出版日期:2020-09-05 发布日期:2020-09-05
  • 通讯作者: Fu-Ming Guo, Su-Yu Li E-mail:guofm@jlu.edu.cn;sylee@jlu.edu.cn
  • 基金资助:
    Project supported by Jilin Province Science and Technology Development Plan Project-Excellent Youth Talents Fund Project, China (Grant No. 20180520174JH) and the National Natural Science Foundation of China (Grant Nos. 11704145 11904050, 11774129, 11747007, and 11534004).

Resonance-enhanced two-photon ionization of hydrogen atom in intense laser field investigated by Bohmian-mechanics

Yang Song(宋阳)1,3, Shu Han(韩姝)2, Yu-Jun Yang(杨玉军)3, Fu-Ming Guo(郭福明)3, Su-Yu Li(李苏宇)3   

  1. 1 College of Science, Northeast Electric Power University, Jilin 132012, China;
    2 Archives, Northeast Electric Power University, Jilin 132012, China;
    3 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China
  • Received:2020-05-13 Revised:2020-06-12 Accepted:2020-06-29 Online:2020-09-05 Published:2020-09-05
  • Contact: Fu-Ming Guo, Su-Yu Li E-mail:guofm@jlu.edu.cn;sylee@jlu.edu.cn
  • Supported by:
    Project supported by Jilin Province Science and Technology Development Plan Project-Excellent Youth Talents Fund Project, China (Grant No. 20180520174JH) and the National Natural Science Foundation of China (Grant Nos. 11704145 11904050, 11774129, 11747007, and 11534004).

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摘要： Resonance enhanced two-photon ionization process of hydrogen atom via the resonant laser pulse is studied by Bohmian mechanics (BM) method. By analyzing the trajectories and energies of Bohmian particles (BPs), we find that under the action of high frequency and low intensity multi-circle resonant laser pulses, the ionized BPs first absorb one photon completing the excitation, and then absorb another photon, completing the ionization after staying in the first excited state for a period of time. The analysis of work done by the forces shows that the electric field force and quantum force play a major role in the whole ionization process. At the excitation moment and in the excitation-ionization process, the effect of the quantum force is greater than that of the electric field force. Finally, we discuss the principle of work and energy for BPs, and find that the electric field force and quantum force are non-conservative forces whose work is equal to the increment of mechanical energy of the system. In addition, it is proved that the quantum potential energy actually comes from the kinetic energy of the system and the increment of kinetic energy is equal to that of the kinetic energy of the system.

关键词: Bohmian mechanics, quantum force, resonance-enhanced two-photon ionization

Abstract: Resonance enhanced two-photon ionization process of hydrogen atom via the resonant laser pulse is studied by Bohmian mechanics (BM) method. By analyzing the trajectories and energies of Bohmian particles (BPs), we find that under the action of high frequency and low intensity multi-circle resonant laser pulses, the ionized BPs first absorb one photon completing the excitation, and then absorb another photon, completing the ionization after staying in the first excited state for a period of time. The analysis of work done by the forces shows that the electric field force and quantum force play a major role in the whole ionization process. At the excitation moment and in the excitation-ionization process, the effect of the quantum force is greater than that of the electric field force. Finally, we discuss the principle of work and energy for BPs, and find that the electric field force and quantum force are non-conservative forces whose work is equal to the increment of mechanical energy of the system. In addition, it is proved that the quantum potential energy actually comes from the kinetic energy of the system and the increment of kinetic energy is equal to that of the kinetic energy of the system.

Key words: Bohmian mechanics, quantum force, resonance-enhanced two-photon ionization

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

  • 32.80.Rm
42.50.Hz (Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)