Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory

doi:10.1088/1674-1056/ab610c

中国物理B ›› 2020, Vol. 29 ›› Issue (2): 23204-023204.doi: 10.1088/1674-1056/ab610c

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

Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory

Hong Xia(夏宏), Xin-Yan Jia(贾欣燕), Xiao-Lei Hao(郝小雷), Li Guo(郭丽), Dai-He Fan(樊代和), Gen-Bai Chu(储根柏), Jing Chen(陈京)

1 School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, China;
2 Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China;
3 State Key Laboratory for Quantum Optics and Center for Cold Atom Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;
4 Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang 621900, China;
5 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
6 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

收稿日期:2019-11-09 修回日期:2019-12-09 出版日期:2020-02-05 发布日期:2020-02-05
通讯作者: Xin-Yan Jia, Jing Chen E-mail:xyjia@swjtu.edu.cn;chen_jing@iapcm.ac.cn
基金资助:
Project supported by the Key Laboratory Project of Computational Physics of National Defense Science and Technology of China (Grant No. 6142A05180401), the National Key Program for S&T Research and Development of China (Grant Nos. 2019YFA0307700 and 2016YFA0401100), and the National Natural Science Foundation of China (Grant Nos. 11847307, 11425414, 11504215, 11774361, and 11874246).

Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory

Hong Xia(夏宏)¹, Xin-Yan Jia(贾欣燕)¹, Xiao-Lei Hao(郝小雷)², Li Guo(郭丽)³, Dai-He Fan(樊代和)¹, Gen-Bai Chu(储根柏)⁴, Jing Chen(陈京)^5,6

1 School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, China;
2 Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China;
3 State Key Laboratory for Quantum Optics and Center for Cold Atom Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;
4 Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang 621900, China;
5 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
6 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2019-11-09 Revised:2019-12-09 Online:2020-02-05 Published:2020-02-05
Contact: Xin-Yan Jia, Jing Chen E-mail:xyjia@swjtu.edu.cn;chen_jing@iapcm.ac.cn
Supported by:
Project supported by the Key Laboratory Project of Computational Physics of National Defense Science and Technology of China (Grant No. 6142A05180401), the National Key Program for S&T Research and Development of China (Grant Nos. 2019YFA0307700 and 2016YFA0401100), and the National Natural Science Foundation of China (Grant Nos. 11847307, 11425414, 11504215, 11774361, and 11874246).

摘要/Abstract

摘要： Ionization of atoms in counter-rotating and co-rotating bicircular laser fields is studied using the S-matrix theory in both length and velocity gauges. We show that for both the bicircular fields, ionization rates are enhanced when the two circularly polarized lights have comparable intensities. In addition, the curves of ionization rate versus the field amplitude ratio of the two colors for counter-rotating and co-rotating fields coincide with each other in the length gauge case at the total laser intensity 5×10¹⁴ W/cm², which agrees with the experimental observation. Moreover, the degree of the coincidence between the ionization rate curves of the two bicircular fields decreases with the increasing field amplitude ratio and decreasing total laser intensity. With the help of the ADK theory, the above characteristics of the ionization rate curves can be well interpreted, which is related to the transition from the tunneling to multiphoton ionization mechanism.

关键词: above-threshold ionization (ATI), bicircular laser fields, length gauge, velocity gauge, S-matrix theory

Abstract: Ionization of atoms in counter-rotating and co-rotating bicircular laser fields is studied using the S-matrix theory in both length and velocity gauges. We show that for both the bicircular fields, ionization rates are enhanced when the two circularly polarized lights have comparable intensities. In addition, the curves of ionization rate versus the field amplitude ratio of the two colors for counter-rotating and co-rotating fields coincide with each other in the length gauge case at the total laser intensity 5×10¹⁴ W/cm², which agrees with the experimental observation. Moreover, the degree of the coincidence between the ionization rate curves of the two bicircular fields decreases with the increasing field amplitude ratio and decreasing total laser intensity. With the help of the ADK theory, the above characteristics of the ionization rate curves can be well interpreted, which is related to the transition from the tunneling to multiphoton ionization mechanism.

Key words: above-threshold ionization (ATI), bicircular laser fields, length gauge, velocity gauge, S-matrix theory

中图分类号: (Multiphoton ionization and excitation to highly excited states)

32.80.Rm

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

夏宏, 贾欣燕, 郝小雷, 郭丽, 樊代和, 储根柏, 陈京. Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory[J]. 中国物理B, 2020, 29(2): 23204-023204.

Hong Xia(夏宏), Xin-Yan Jia(贾欣燕), Xiao-Lei Hao(郝小雷), Li Guo(郭丽), Dai-He Fan(樊代和), Gen-Bai Chu(储根柏), Jing Chen(陈京). Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory[J]. Chin. Phys. B, 2020, 29(2): 23204-023204.

参考文献 38

[1]	Agostini P, Fabre F, Mainfray G, Petite G and Rahman N K 1979 Phys. Rev. Lett. 42 1127 doi: 10.1103/PhysRevLett.42.1127
[2]	Paulus G G, Nicklich W, Xu H, Lambropoulos P and Walther H 1994 Phys. Rev. Lett. 72 2851 doi: 10.1103/PhysRevLett.72.2851
[3]	Lai X Y, Wang C L, Chen Y J, Hu Z L, Quan W, Chen J, Cheng Y, Xu Z Z and Becker W 2013 Phys. Rev. Lett. 110 043002 doi: 10.1103/PhysRevLett.110.043002
[4]	Zhang K, Liu M, Wang B B, Guo C Y, Yan Z C, Chen J and Liu X J 2017 Chin. Phys. Lett. 34 113201 doi: 10.1088/0256-307X/34/11/113201
[5]	Walker B, Sheehy B, DiMauro L F, Agostini P, Schafer K J and Kulander K C 1994 Phys. Rev. Lett. 73 1227 doi: 10.1103/PhysRevLett.73.1227
[6]	Larochelle S, Talebpour A and Chin S L 1998 J. Phys. B 31 1201 doi: 10.1088/0953-4075/31/6/008
[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 doi: 10.1364/JOSAB.4.000595
[8]	Corkum P B 1993 Phys. Rev. Lett. 71 1994 doi: 10.1103/PhysRevLett.71.1994
[9]	Schafer K J, Yang B R, DiMauro L F and Kulander K C 1993 Phys. Rev. Lett. 70 1599 doi: 10.1103/PhysRevLett.70.1599
[10]	Ben S, Wang T, Xu T, Guo J and Liu X 2016 Opt. Express 24 7525 doi: 10.1364/OE.24.007525
[11]	Gillen G D, Walker M A and Woerkom L D V 2001 Phys. Rev. A 64 043413 doi: 10.1103/PhysRevA.64.043413
[12]	Kfir O, Grychtol P, Turgut E, Knut R, Zusin D, Popmintchev D, Popmintchev T, Nembach H, Shaw J M, Fleischer A, Kapteyn H, Murnane M and Cohen O 2015 Nat. Photon. 9 99 doi: 10.1038/nphoton.2014.293
[13]	Fan T, Grychtol P, Knut R, Hernández-García C, Hickstein D D, Zusin D, Gentry C, Dollar F J, Mancuso C A, Hogle C, Kfir O, Legut D, Carva K, Ellis J L, Dorney K, Chen C, Shpyrko O, Fullerton E E, Cohen O, Oppeneer P M, Milošević D B, Becker A, Jaroń-Becker A A, Popmintchev T, Murnane M M and Kapteyn H C 2015 Proc. Natl. Acad. Sci. USA 112 14206 doi: 10.1073/pnas.1519666112
[14]	Xia C L, Lan Y Y, Li Q Q and Miao X Y 2019 Chin. Phys. B 28 103203 doi: 10.1088/1674-1056/ab4278
[15]	Mancuso C A, Hickstein D D, Grychtol P, Knut R, Kfir O, Tong X M, Dollar F, Zusin D, Gopalakrishnan M, Gentry C, Turgut E, Ellis J L, Chen M C, Fleischer A, Cohen O, Kapteyn H C and Murnane M M 2015 Phys. Rev. A 91 031402 doi: 10.1103/PhysRevA.91.031402
[16]	Huang Y, Qin C C, Zhang Y Z, Wang X C, Yan T M and Jiang Y H 2019 Chin. Phys. B 28 093202 doi: 10.1088/1674-1056/ab3444
[17]	Eckart S, Richter M, Kunitski M, Hartung A, Rist J, Henrichs K, Schlott N, Kang H, Bauer T, Sann H, Schmidt L P H, Schöffler M, Jahnke T and Dörner R 2016 Phys. Rev. Lett. 117 133202 doi: 10.1103/PhysRevLett.117.133202
[18]	Mancuso C A, Dorney K M, Hickstein D D, Chaloupka J L, Ellis J L, Dollar F J, Knut R, Grychtol P, Zusin D, Gentry C, Gopalakrishnan M, Kapteyn H C and Murnane M M 2016 Phys. Rev. Lett. 117 133201 doi: 10.1103/PhysRevLett.117.133201
[19]	Han M, Ge P, Shao Y, Gong Q and Liu Y 2018 Phys. Rev. Lett. 120 073202 doi: 10.1103/PhysRevLett.120.073202
[20]	Ge P, Han M, Deng Y, Gong Q and Liu Y 2019 Phys. Rev. Lett. 122 013201 doi: 10.1103/PhysRevLett.122.013201
[21]	Kulander K C 1987 Phys. Rev. A 35 445(R)
[22]	Hu S L, Liu M Q, Shu Z and Chen J 2019 Phys. Rev. A 100 053414 doi: 10.1103/PhysRevA.100.053414
[23]	Xu L and Fu L B 2019 Chin. Phys. Lett. 36 043202 doi: 10.1088/0256-307X/36/4/043202
[24]	Corkum P B and Krausz F 2007 Nat. Phys. 3 381 doi: 10.1038/nphys620
[25]	Chen J, Liu J, Fu L B and Zheng W M 2000 Phys. Rev. A 63 011404(R)
[26]	Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515
[27]	Faisal F H M 2007 Phys. Rev. A 75 063412 doi: 10.1103/PhysRevA.75.063412
[28]	Reiss H R 1980 Phys. Rev. A 22 1786 doi: 10.1103/PhysRevA.22.1786
[29]	Burlon R, Leone C, Trombetta F and Ferrante G 1987 Nuovo Cimento D 9 1033 doi: 10.1007/BF02464854
[30]	Bauer D, Milošević D B and Becker W 2005 Phys. Rev. A 72 023415 doi: 10.1103/PhysRevA.72.023415
[31]	Gazibegovic-Busuladzic A, Milošević D B and Becker W 2007 Opt. Commun. 275 116 doi: 10.1016/j.optcom.2007.03.009
[32]	Chen J and Chen S G 2007 Phys. Rev. A 75 041402(R)
[33]	Becker W, Chen J, Chen S G and Milošević D B 2007 Phys. Rev. A 76 033403 doi: 10.1103/PhysRevA.76.033403
[34]	Leone C, Bivona S, Burlon R, Morales F and Ferrante G 1989 Phys. Rev. A 40 1828 doi: 10.1103/PhysRevA.40.1828
[35]	Lin K, Jia X Y, Yu Z Q, He F, Ma J Y, Li H, Gong X C, Song Q Y, Ji Q Y, Zhang W B, Li H X, Lu P F, Zeng H P, Chen J and Wu J 2017 Phys. Rev. Lett. 119 203202 doi: 10.1103/PhysRevLett.119.203202
[36]	Delone N B and Krainov V P 1998 Phys. Usp. 41 469 doi: 10.1070/PU1998v041n05ABEH000393
[37]	Ammosov M V, Delone N B and Krainov V P 1986 Sov. Phys. JETP 64 1191
[38]	Delone N B and Krainov V P J. Opt. Soc. Am. B 8 1207

Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory

Comparative study on atomic ionization in bicircular laser fields by length and velocity gauges S-matrix theory

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