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Chin. Phys. B, 2019, Vol. 28(8): 083101    DOI: 10.1088/1674-1056/28/8/083101
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

Efficient solver for time-dependent Schrödinger equation with interaction between atoms and strong laser field

Sheng-Peng Zhou(周胜鹏)1,2, Ai-Hua Liu(刘爱华)1,2, Fang Liu(刘芳)3, Chun-Cheng Wang(王春成)1,2, Da-Jun Ding(丁大军)1,2
1 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;
2 Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy(Jilin University), Changchun 130012, China;
3 School of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China
Abstract  

We present a parallel numerical method of simulating the interaction of atoms with a strong laser field by solving the time-depending Schrödinger equation (TDSE) in spherical coordinates. This method is realized by combining constructing block diagonal matrices through using the real space product formula (RSPF) with splitting out diagonal sub-matrices for short iterative Lanczos (SIL) propagator. The numerical implementation of the solver guarantees efficient parallel computing for the simulation of real physical problems such as high harmonic generation (HHG) in these interaction systems.

Keywords:  time-dependent Schrö      dinger equation, Strong laser fields, Parallel numerical solver  
Received:  26 March 2019      Revised:  20 May 2019      Accepted manuscript online: 
PACS:  31.15.A- (Ab initio calculations)  
  32.30.Bv (Radio-frequency, microwave, and infrared spectra)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11534004, 11627807, 11774131, and 11774130) and the Scientific and Technological Project of Jilin Provincial Education Department in the Thirteenth Five-Year Plan, China (Grant No. JJKH20170538KJ).

Corresponding Authors:  Da-Jun Ding     E-mail:  dajund@jlu.edu.cn

Cite this article: 

Sheng-Peng Zhou(周胜鹏), Ai-Hua Liu(刘爱华), Fang Liu(刘芳), Chun-Cheng Wang(王春成), Da-Jun Ding(丁大军) Efficient solver for time-dependent Schrödinger equation with interaction between atoms and strong laser field 2019 Chin. Phys. B 28 083101

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