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Chin. Phys. B, 2020, Vol. 29(2): 023202    DOI: 10.1088/1674-1056/ab6553
Special Issue: SPECIAL TOPIC — Optical field manipulation
SPECIAL TOPIC—Strong-field atomic and molecular physics Prev   Next  

Numerical simulations of strong-field processes in momentum space

Yan Xu(徐彦)1, Xue-Bin Bian(卞学滨)2
1 College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, China;
2 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
Abstract  The time-dependent Schrödinger equation (TDSE) is usually treated in the real space in the textbook. However, it makes the numerical simulations of strong-field processes difficult due to the wide dispersion and fast oscillation of the electron wave packets under the interaction of intense laser fields. Here we demonstrate that the TDSE can be efficiently solved in the momentum space. The high-order harmonic generation and above-threshold ionization spectra obtained by numerical solutions of TDSE in momentum space agree well with previous studies in real space, but significantly reducing the computation cost.
Keywords:  high-order harmonic generation      above-threshold ionization      numerical method     
Received:  07 November 2019      Published:  05 February 2020
PACS:  32.80.Rm (Multiphoton ionization and excitation to highly excited states)  
  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  42.65.Re (Ultrafast processes; optical pulse generation and pulse compression)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2019YFA0307702), the National Natural Science Foundation of China (Grants Nos. 91850121 and 11674363), the Science Fund of Educational Department of Henan Province of China (Grant No. 2011C140001), and the Ninth Group of Key Disciplines in Henan Province, China (Grant No. 2018119).
Corresponding Authors:  Xue-Bin Bian     E-mail:  xuebin.bian@wipm.ac.cn

Cite this article: 

Yan Xu(徐彦), Xue-Bin Bian(卞学滨) Numerical simulations of strong-field processes in momentum space 2020 Chin. Phys. B 29 023202

[1] Corkum P B and Krausz F 2007 Nat. Phys. 3 381
[2] Brabec T and Krausz F 2000 Rev. Mod. Phys. 72 545
[3] Bian X B 2014 Phys. Rev. A 90 033403
[4] Shi S, Jin F C and Wang B B 2019 Chin. Phys. B 28 023202
[5] Wang C L, Sun R P, Chen Y J, Gong C, Lai X Y, Kang H P, Quan W and Liu X J 2014 Chin. Phys. Lett. 31 063202
[6] Peng L Y and Starace A F 2006 J. Chem. Phys. 125 154311
[7] Chelkowski S, Foisy C and Bandrauk A D 1998 Phys. Rev. A 57 1176
[8] Feit M D, Fleck J A Jr and Steiger A 1982 J. Comput. Phys. 47 412
[9] Karr W A, Jamell C R and Joglekar Y N 2010 Am. J. Phys. 78 407
[10] Zhou X and Lin C D 2000 Phys. Rev. A 61 053411
[11] Bian X B, Qiao H X and Shi T Y 2006 Chin. Phys. Lett. 23 2403
[12] Yuan K J and Bandrauk A D 2011 Phys. Rev. A 84 013426
[13] Bian X B, Qiao H X and Shi T Y 2007 Chin. Phys. 16 1822
[14] Peng L Y and Starace A F 2007 Phys. Rev. A 76 043401
[15] Bandrauk A D, Chelkowski S, Diestler D J, Manz J and Yuan K J 2009 Phys. Rev. A 79 023403
[16] Baggesen J C and Madsen L B 2011 J. Phys. B 44 115601
[17] Muller H G and Kooiman F C 1998 Phys. Rev. Lett. 81 1207
[18] Schafer K J 1991 Comput. Phys. Commun. 63 427
[19] Madsen L B, Nikolopoulos L A A, Kjeldsen T K and Fernández J 2007 Phys. Rev. A 76 063407
[20] Tong X M and Chu S I 1997 Chem. Phys. 217 119
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