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

doi:10.1088/1674-1056/28/8/083101

中国物理B ›› 2019, Vol. 28 ›› Issue (8): 83101-083101.doi: 10.1088/1674-1056/28/8/083101

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

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)

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

收稿日期:2019-03-26 修回日期:2019-05-20 出版日期:2019-08-05 发布日期:2019-08-05
通讯作者: Da-Jun Ding E-mail:dajund@jlu.edu.cn
基金资助:
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).

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

Received:2019-03-26 Revised:2019-05-20 Online:2019-08-05 Published:2019-08-05
Contact: Da-Jun Ding E-mail:dajund@jlu.edu.cn
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: time-dependent Schrö, dinger equation, Strong laser fields, Parallel numerical solver

Abstract:

Key words: time-dependent Schrö, dinger equation, Strong laser fields, Parallel numerical solver

中图分类号: (Ab initio calculations)

31.15.A-

32.30.Bv (Radio-frequency, microwave, and infrared spectra)

周胜鹏, 刘爱华, 刘芳, 王春成, 丁大军. Efficient solver for time-dependent Schrödinger equation with interaction between atoms and strong laser field[J]. 中国物理B, 2019, 28(8): 83101-083101.

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[J]. Chin. Phys. B, 2019, 28(8): 83101-083101.

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

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

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