Comparative study of photoionization of atomic hydrogen by solving the one- and three-dimensional time-dependent Schrödinger equations

doi:10.1088/1674-1056/abea85

中国物理B ›› 2021, Vol. 30 ›› Issue (8): 83301-083301.doi: 10.1088/1674-1056/abea85

Comparative study of photoionization of atomic hydrogen by solving the one- and three-dimensional time-dependent Schrödinger equations

Shun Wang(王顺), Shahab Ullah Khan, Xiao-Qing Tian(田晓庆), Hui-Bin Sun(孙慧斌), and Wei-Chao Jiang(姜维超)^†

College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China

收稿日期:2020-11-26 修回日期:2021-02-08 接受日期:2021-03-01 出版日期:2021-07-16 发布日期:2021-07-16
通讯作者: Wei-Chao Jiang E-mail:jiang.wei.chao@szu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Gant Nos. 12074265, 11804233, and 11575118), the National Key Research and Development Project of China (Grant No. 2017YFF0106500), the Natural Science Foundation of Guangdong, China (Grant Nos. 2018A0303130311 and 2021A1515010082), and the Shenzhen Fundamental Research Program (Grant Nos. KQJSCX20180328093801773, JCYJ20180305124540632, and JCYJ20190808121405740).

Comparative study of photoionization of atomic hydrogen by solving the one- and three-dimensional time-dependent Schrödinger equations

Shun Wang(王顺), Shahab Ullah Khan, Xiao-Qing Tian(田晓庆), Hui-Bin Sun(孙慧斌), and Wei-Chao Jiang(姜维超)^†

College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China

Received:2020-11-26 Revised:2021-02-08 Accepted:2021-03-01 Online:2021-07-16 Published:2021-07-16
Contact: Wei-Chao Jiang E-mail:jiang.wei.chao@szu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Gant Nos. 12074265, 11804233, and 11575118), the National Key Research and Development Project of China (Grant No. 2017YFF0106500), the Natural Science Foundation of Guangdong, China (Grant Nos. 2018A0303130311 and 2021A1515010082), and the Shenzhen Fundamental Research Program (Grant Nos. KQJSCX20180328093801773, JCYJ20180305124540632, and JCYJ20190808121405740).

摘要/Abstract

摘要： We develop a numerical scheme for solving the one-dimensional (1D) time-dependent Schrödinger equation (TDSE), and use it to study the strong-field photoionization of the atomic hydrogen. The photoelectron energy spectra obtained for pulses ranging from XUV to near infrared are compared in detail to the spectra calculated with our well-developed code for accurately solving the three-dimensional (3D) TDSE. For XUV pulses, our discussions cover intensities at which the ionization is in the perturbative and nonperturbative regimes. For pulses of 400 nm or longer wavelengths, we distinguish the multiphoton and tunneling regimes. Similarities and discrepancies between the 1D and 3D calculations in each regime are discussed. The observed discrepancies mainly originate from the differences in the transition matrix elements and the energy level structures created in the 1D and 3D calculations.

关键词: time-dependent Schrö, dinger equation (TDSE), strong-field ionization, photoelectron spectra, dynamic interference

Abstract: We develop a numerical scheme for solving the one-dimensional (1D) time-dependent Schrödinger equation (TDSE), and use it to study the strong-field photoionization of the atomic hydrogen. The photoelectron energy spectra obtained for pulses ranging from XUV to near infrared are compared in detail to the spectra calculated with our well-developed code for accurately solving the three-dimensional (3D) TDSE. For XUV pulses, our discussions cover intensities at which the ionization is in the perturbative and nonperturbative regimes. For pulses of 400 nm or longer wavelengths, we distinguish the multiphoton and tunneling regimes. Similarities and discrepancies between the 1D and 3D calculations in each regime are discussed. The observed discrepancies mainly originate from the differences in the transition matrix elements and the energy level structures created in the 1D and 3D calculations.

Key words: time-dependent Schrö, dinger equation (TDSE), strong-field ionization, photoelectron spectra, dynamic interference

中图分类号: (Spectra induced by strong-field or attosecond laser irradiation)

33.20.Xx

32.80.Rm (Multiphoton ionization and excitation to highly excited states) 42.65.Re (Ultrafast processes; optical pulse generation and pulse compression)

Shun Wang(王顺), Shahab Ullah Khan, Xiao-Qing Tian(田晓庆), Hui-Bin Sun(孙慧斌), and Wei-Chao Jiang(姜维超). Comparative study of photoionization of atomic hydrogen by solving the one- and three-dimensional time-dependent Schrödinger equations[J]. 中国物理B, 2021, 30(8): 83301-083301.

参考文献

[1] Krausz F and Ivanov M 2009 Rev. Mod. Phys. 81 163
[2] Pazourek R, Nagele S and Burgdörfer J 2015 Rev. Mod. Phys. 87 765
[3] Ueda K, Sokell E, Schippers S, Aumayr F, Sadeghpour H, Burgdörfer J, Lemell C, Tong X M, Pfeifer T, Calegari F, Palacios A, Martin F, Corkum P, Sansone G, Gryzlova E V, Grum-Grzhimailo A N, Piancastelli M N, Weber P M, Steinle T, Amini K, Biegert J, Berrah N, Kukk E, Santra R, Müller A, Dowek D, Lucchese R R, McCurdy C W, Bolognesi P, Avaldi L, Jahnke T, Schöffler M S, Dörner R, Mairesse Y, Nahon L, Smirnova O, Schlathölter T, Campbell E E B, Rost J M, Meyer M and Tanaka K A 2019 J. Phys. B: At. Mol. Opt. Phys. 52 171001
[4] Walker B, Sheehy B, DiMauro L F, Agostini P, Schafer K J and Kulander K C 1994 Phys. Rev. Lett. 73 1227
[5] Zhang L 2014 Phys. Rev. Lett. 112 193002
[6] Chen Z, Liu F and Wen H 2019 Chin. Phys. B 28 123401
[7] McPherson A, Gibson G, Jara H, Johann U, Luk T S, McIntyre I A, Boyer K and Rhodes C K 1987 J. Opt. Soc. Am. B 4 595
[8] Huang Y Y, Lai X Y and Liu X J 2018 Chin. Phys. B 27 73204
[9] Zuo R X, Song X H, Liu X W, Yang S D and Yang W F 2019 Chin. Phys. B 28 94208
[10] Liu L, Zhao J, Yuan J M and Zhao Z X 2019 Chin. Phys. B 28 114205
[11] Baghery M, Saalmann U and Rost J M 2017 Phys. Rev. Lett. 118 143202
[12] Jiang W C and Burgdörfer J 2018 Opt. Express 26 19921
[13] Wang N and Liu A 2019 Chin. Phys. B 28 083403
[14] Jiang W C, Chen S G, Peng L Y and Burgdörfer J 2020 Phys. Rev. Lett. 124 043203
[15] Xu Y and Bian X B 2020 Chin. Phys. B 29 23202
[16] Brée C, Hofmann M, Demircan A, Morgner U, Kosareva O, Savel'ev A, Husakou A, Ivanov M and Babushkin I 2017 Phys. Rev. Lett. 119 243202
[17] Xu L and Fu L 2019 Phys. Rev. Lett. 122 253202
[18] Reed V C and Burnett K 1991 Phys. Rev. A 43 6217
[19] Dörr M 2000 Opt. Express 6 111
[20] Zhao J and Lein M 2013 Phys. Rev. Lett. 111 043901
[21] de Aldana J V and Roso L 1999 Opt. Express 5 144
[22] Kylstra N J, Worthington R A, Patel A, Knight P L, de Aldana J V and Roso L 2000 Phys. Rev. Lett. 85 1835
[23] Javanainen J, Eberly J H and Su Q 1988 Phys. Rev. A 38 3430
[24] Geltman S 2011 J. At. Mol. Phys. 2011 573179
[25] Silaev A A, Ryabikin M Y and Vvedenskii N V 2010 Phys. Rev. A 82 033416
[26] Majorosi S, Benedict M G and Czirják A 2018 Phys. Rev. A 98 023401
[27] Gordon A, Santra R and Kärtner F X 2005 Phys. Rev. A 72 063411
[28] Tian Y Y, Li S Y, Wei S S, Guo F M, Zeng S L, Chen J G and Yang Y J 2014 Chin. Phys. B 23 053202
[29] Dziubak T and Matulewski J 2010 Eur. Phys. J. D 59 321
[30] Rae S C, Chen X and Burnett K 1994 Phys. Rev. A 50 1946
[31] Chen Y J, Liu J and Hu B 2009 Phys. Rev. A 79 033405
[32] Yu H, Zuo T and Bandrauk A D 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1533
[33] Liu C, Nakajima T, Sakka T and Ohgaki H 2008 Phys. Rev. A 77 043411
[34] Loudon R 1959 Am. J. Phys. 27 649
[35] Schwengelbeck U and Faisal F H M 1994 Phys. Rev. A 50 632
[36] Tong X M, Hino K and Toshima N 2006 Phys. Rev. A 74 031405
[37] Wang S, Jiang W C, Tian X Q and Sun H B 2020 Phys. Rev. A 101 053417
[38] Jiang W C, Tong X M, Pazourek R, Nagele S and Burgdörfer J 2020 Phys. Rev. A 101 053435
[39] Rescigno T N and McCurdy C W 2000 Phys. Rev. A 62 032706
[40] Rayson M J 2007 Phys. Rev. E 76 026704
[41] Schneider B I and Collins L A 2005 J. Non-Cryst. Solids 351 1551
[42] Jiang W C and Tian X Q 2017 Opt. Express 25 26832
[43] Demekhin P V and Cederbaum L S 2012 Phys. Rev. Lett. 108 253001
[44] Wang M X, Liang H, Xiao X R, Chen S G, Jiang W C and Peng L Y 2018 Phys. Rev. A 98 023412
[45] Keldysh L V 1965 Sov. Phys. JETP 20 1307

Comparative study of photoionization of atomic hydrogen by solving the one- and three-dimensional time-dependent Schrödinger equations

Comparative study of photoionization of atomic hydrogen by solving the one- and three-dimensional time-dependent Schrödinger equations

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

Metrics

本文评价

推荐阅读 0

[1]	Chang-Tong Liang(梁畅通), Jing-Jing Zhang(张晶晶), and Peng-Cheng Li(李鹏程). Phase-coherence dynamics of frequency-comb emission via high-order harmonic generation in few-cycle pulse trains[J]. 中国物理B, 2023, 32(3): 33201-033201.
[2]	Zhi-Xian Lei(雷志仙), Qing-Yun Xu(徐清芸), Zhi-Jie Yang(杨志杰), Yong-Lin He(何永林), and Jing Guo(郭静). Photoelectron momentum distributions of Ne and Xe dimers in counter-rotating circularly polarized laser fields[J]. 中国物理B, 2022, 31(6): 63202-063202.
[3]	Shun Wang(王顺) and Wei-Chao Jiang(姜维超). Solving the time-dependent Schrödinger equation by combining smooth exterior complex scaling and Arnoldi propagator[J]. 中国物理B, 2022, 31(1): 13201-013201.
[4]	刘璐, 赵晶, 袁建民, 赵增秀. Role of Bloch oscillation in high-order harmonic generation from periodic structure[J]. 中国物理B, 2019, 28(11): 114205-114205.
[5]	倪园园, 赵松峰, 李小勇, 王国利, 周效信. Above-threshold ionization of hydrogen atom in chirped laser fields[J]. 中国物理B, 2018, 27(7): 73203-073203.
[6]	贾正茂, 曾志男, 李儒新, 徐至展, 邓蕴沛. Control of electron localization in the dissociation of H₂⁺ and its isotopes with a THz pulse[J]. , 2015, 24(1): 13204-013204.
[7]	贾正茂, 曾志男, 李儒新, 徐至展. Semi-classical explanation for the dissociation control of H₂⁺[J]. , 2014, 23(8): 83201-083201.
[8]	孙长平, 赵松峰, 陈建宏, 周效信. Two-dimensional photoelectron momentum distribution of hydrogen in intense laser field[J]. 中国物理B, 2011, 20(11): 113201-113201.