Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

doi:10.1088/1674-1056/26/7/074215

中国物理B ›› 2017, Vol. 26 ›› Issue (7): 74215-074215.doi: 10.1088/1674-1056/26/7/074215

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

Sheng-Jun Yue(岳生俊), Hong-Chuan Du(杜洪川), Hong-Mei Wu(吴红梅), Shan Xue(薛山), Jia-Chen Zhao(赵家琛), Bi-Tao Hu(胡碧涛)

1 School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China;
2 Key Laboratory of Special Function Materials and Structure Design, Ministry of Education, Lanzhou University, Lanzhou 730000, China

收稿日期:2016-12-12 修回日期:2017-02-14 出版日期:2017-07-05 发布日期:2017-07-05
通讯作者: Hong-Chuan Du, Bi-Tao Hu E-mail:duhch@lzu.edu.cn;hubt@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.11404153,11135002,11475076,and 11405077) and the Fundamental Research Funds for the Central Universities of China (Grants Nos.lzujbky-2016-29,lzujbky-2016-31,and lzujbky-2016-209).

Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

Sheng-Jun Yue(岳生俊)^1,2, Hong-Chuan Du(杜洪川)^1,2, Hong-Mei Wu(吴红梅)^1,2, Shan Xue(薛山)^1,2, Jia-Chen Zhao(赵家琛)^1,2, Bi-Tao Hu(胡碧涛)^1,2

1 School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China;
2 Key Laboratory of Special Function Materials and Structure Design, Ministry of Education, Lanzhou University, Lanzhou 730000, China

Received:2016-12-12 Revised:2017-02-14 Online:2017-07-05 Published:2017-07-05
Contact: Hong-Chuan Du, Bi-Tao Hu E-mail:duhch@lzu.edu.cn;hubt@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.11404153,11135002,11475076,and 11405077) and the Fundamental Research Funds for the Central Universities of China (Grants Nos.lzujbky-2016-29,lzujbky-2016-31,and lzujbky-2016-209).

摘要/Abstract

摘要： We calculated the harmonic spectra generated from the asymmetric molecules of HD⁺ and HeH²⁺. It is found that HD⁺produces only odd harmonics, while HeH²⁺ produces both odd and even harmonics. Further analysis reveals that for both HD⁺ and HeH²⁺, the nuclear dipole acceleration can generate even harmonics, but it is three orders of magnitude lower than that of the electron. Hence, the electronic dipole acceleration dominates the harmonic generation. For HD⁺, the electronic dipole acceleration only contributes to the generation of odd harmonics, but for HeH²⁺ it contributes to the generation of both odd and even harmonics. Besides, one concept of the broken degree of system-symmetry is proposed to explain the different odd-even property between the harmonic spectra of HD⁺ and HeH²⁺.

关键词: strong field physics, odd–, even-order harmonic, dipole acceleration, asymmetric ions

Abstract: We calculated the harmonic spectra generated from the asymmetric molecules of HD⁺ and HeH²⁺. It is found that HD⁺produces only odd harmonics, while HeH²⁺ produces both odd and even harmonics. Further analysis reveals that for both HD⁺ and HeH²⁺, the nuclear dipole acceleration can generate even harmonics, but it is three orders of magnitude lower than that of the electron. Hence, the electronic dipole acceleration dominates the harmonic generation. For HD⁺, the electronic dipole acceleration only contributes to the generation of odd harmonics, but for HeH²⁺ it contributes to the generation of both odd and even harmonics. Besides, one concept of the broken degree of system-symmetry is proposed to explain the different odd-even property between the harmonic spectra of HD⁺ and HeH²⁺.

Key words: strong field physics, odd–even-order harmonic, dipole acceleration, asymmetric ions

中图分类号: (Frequency conversion; harmonic generation, including higher-order harmonic generation)

42.65.Ky

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

岳生俊, 杜洪川, 吴红梅, 薛山, 赵家琛, 胡碧涛. Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation[J]. 中国物理B, 2017, 26(7): 74215-074215.

Sheng-Jun Yue(岳生俊), Hong-Chuan Du(杜洪川), Hong-Mei Wu(吴红梅), Shan Xue(薛山), Jia-Chen Zhao(赵家琛), Bi-Tao Hu(胡碧涛). Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation[J]. Chin. Phys. B, 2017, 26(7): 74215-074215.

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Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

Theoretical study of the odd–even-order harmonic generation for asymmetric ions in non-Born–Oppenheimer approximation

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