Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms

doi:10.1088/1674-1056/27/5/053401

中国物理B ›› 2018, Vol. 27 ›› Issue (5): 53401-053401.doi: 10.1088/1674-1056/27/5/053401

• ATOMIC AND MOLECULAR PHYSICS • 上一篇下一篇

Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms

Yanhui Zhang(张延惠), Xiulan Xu(徐秀兰), Lisha Kang(康丽莎), Xiangji Cai(蔡祥吉), Xu Tang(唐旭)

1 College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;
2 School of Physics, Shandong University, Jinan 250100, China

收稿日期:2017-08-05 修回日期:2018-01-12 出版日期:2018-05-05 发布日期:2018-05-05
通讯作者: Yanhui Zhang E-mail:yhzhang@sdnu.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Shandong Province,China (Grant No.ZR2014AM030).Xiangji Cai is also partially supported by the Program for Outstanding PhD Candidate of Shandong University,China.

Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms

Yanhui Zhang(张延惠)¹, Xiulan Xu(徐秀兰)¹, Lisha Kang(康丽莎)¹, Xiangji Cai(蔡祥吉)², Xu Tang(唐旭)¹

1 College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;
2 School of Physics, Shandong University, Jinan 250100, China

Received:2017-08-05 Revised:2018-01-12 Online:2018-05-05 Published:2018-05-05
Contact: Yanhui Zhang E-mail:yhzhang@sdnu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Shandong Province,China (Grant No.ZR2014AM030).Xiangji Cai is also partially supported by the Program for Outstanding PhD Candidate of Shandong University,China.

摘要/Abstract

摘要： We study the fractal rhythm in the ionization of Rydberg helium and lithium atoms in an electric field by using the semiclassical method. The fractal structures present a nested relationship layer by layer in the initial launch angles of the ionized electrons versus the escape time, which is defined as the rhythm attractor, and exhibit similar rhythm endings. The gradually enhanced chaotic regions of the escape time plots tend to broaden as the scaled energy increases. In addition, the fractal rhythm changes synchronously with the oscillations of the kinetic energy spectrum. We note that the intrinsic quality of the fractal rhythm is closely related to the kinetic energy distribution, that is, the inherent dynamic properties of the Hamiltonian equations have an impact on the fractal regularities. In addition, different ionizing closed trajectories exhibit iterate properties and the inherent beauty of symmetry. Our results and analysis can not only reveal new laws in the ionization of Rydberg atoms, but also promote the establishment of the dynamic mechanism of fractals.

关键词: ionization dynamics, Rydberg atoms, fractal rhythm, kinetic energy spectrum

Abstract: We study the fractal rhythm in the ionization of Rydberg helium and lithium atoms in an electric field by using the semiclassical method. The fractal structures present a nested relationship layer by layer in the initial launch angles of the ionized electrons versus the escape time, which is defined as the rhythm attractor, and exhibit similar rhythm endings. The gradually enhanced chaotic regions of the escape time plots tend to broaden as the scaled energy increases. In addition, the fractal rhythm changes synchronously with the oscillations of the kinetic energy spectrum. We note that the intrinsic quality of the fractal rhythm is closely related to the kinetic energy distribution, that is, the inherent dynamic properties of the Hamiltonian equations have an impact on the fractal regularities. In addition, different ionizing closed trajectories exhibit iterate properties and the inherent beauty of symmetry. Our results and analysis can not only reveal new laws in the ionization of Rydberg atoms, but also promote the establishment of the dynamic mechanism of fractals.

Key words: ionization dynamics, Rydberg atoms, fractal rhythm, kinetic energy spectrum

中图分类号: (Electronic excitation and ionization of atoms (including beam-foil excitation and ionization))

34.50.Fa

05.45.Pq (Numerical simulations of chaotic systems) 03.65.Sq (Semiclassical theories and applications)

张延惠, 徐秀兰, 康丽莎, 蔡祥吉, 唐旭. Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms[J]. 中国物理B, 2018, 27(5): 53401-053401.

Yanhui Zhang(张延惠), Xiulan Xu(徐秀兰), Lisha Kang(康丽莎), Xiangji Cai(蔡祥吉), Xu Tang(唐旭). Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms[J]. Chin. Phys. B, 2018, 27(5): 53401-053401.

参考文献 38

[14]	Blondel C, Delsart C and Dulieu F 1996 Phys. Rev. Lett. 77 3755
[1]	Yang G C, Mao J M and Du M L 1999 Phys. Rev. A 59 2053
[15]	Nicole C, Offerhaus H L, Vrakking M J J, Lépine F and Bordas C 2002 Phys. Rev. Lett. 88 133001
[2]	Zhao L B and Delos J B 2010 Phys. Rev. A 81 053417
[16]	Lépine F, Bordas C, Nicole C and Vrakking M J J 2004 Phys. Rev. A 70 033417
[3]	Zhao L B and Delos J B 2010 Phys. Rev. A 81 053418
[17]	Nicole C, Sluimer I, Rosca-Pruna F, Warntjes M, Vrakking M, Bordas C, Texier F and Robicheaux F 2000 Phys. Rev. Lett. 85 4024
[4]	Hüpper B, Main J and Wunner G 1996 Phys. Rev. A 53 744
[18]	Ivanov I A, Nam C H and Kim K T 2016 Phys. Rev. A 93 043404
[5]	Lankhuijzen G M and Noordam L D 1996 Phys. Rev. Lett. 76 1784
[19]	Hüpper B, Main Jörg and Wunner G 1995 Phys. Rev. Lett. 74 2650
[6]	Zhou H, Li H Y, Gao S, Zhang Y H, Jia Z M and Lin S L 2008 Chin. Phys. B 17 4428
[7]	Wang D H 2011 Chin. Phys. B 20 013403
[20]	Xu X L, Zhang Y H, Cai X J, Zhao G P and Kang L S 2016 Chin. Phys. B 25 110301
[21]	Liu F L and Zhao L B 2017 Phys. Rev. A 95 043428
[8]	Du M L 1989 Phys. Rev. A 40 4983
[22]	Deng M, Gao W, Lu R, Delos J B, You L and Liu H P 2016 Phys. Rev. A 93 063411
[9]	Du M L and Delos J B 1988 Phys. Rev. A 38 1896
[23]	Stodolna A S, Lépine F, Bergeman T, Robicheaux F, Gijsbertsen A, Jungmann J H, Bordas C and Vrakking M J J 2014 Phys. Rev. Lett. 113 103002
[10]	Du M L and Delos J B 1987 Phys. Rev. Lett. 58 1731
[11]	Fabian L, Iva Březinová, Joachim B and Florian L 2013 Phys. Rev. E 88 022916
[24]	Chen X, Wu Y and Zhang J T 2017 Phys. Rev. A 95 013402
[25]	Wang L, Yang H F, Liu X J, Liu H P, Zhan M S and Delos J B 2010 Phys. Rev. A 82 022514
[12]	Zhao G P, Zhang Y H, Cai X J, Xu X L and Kang L S 2016 Physica E 84 10
[26]	Mitchell K A, Handley J P, Tighe B, Flower A and Delos J B 2004 Phys. Rev. A 70 043407
[13]	Yang B C, Delos J B and Du M L 2014 Phys. Rev. A 89 013417
[14]	Blondel C, Delsart C and Dulieu F 1996 Phys. Rev. Lett. 77 3755
[27]	Mitchell K A, Handley J P, Tighe B, Flower A and Delos J B 2004 Phys. Rev. Lett. 92 073001
[28]	Mitchell K A, Handley J P, Tighe B, Delos J B and Knudson S K 2003 Chaos:An Interdisciplinary Journal of Nonlinear Science 13 880
[15]	Nicole C, Offerhaus H L, Vrakking M J J, Lépine F and Bordas C 2002 Phys. Rev. Lett. 88 133001
[16]	Lépine F, Bordas C, Nicole C and Vrakking M J J 2004 Phys. Rev. A 70 033417
[29]	Mitchell K A, Handley J P, Delos J B and Knudson S K 2003 Chaos:An Interdisciplinary Journal of Nonlinear Science 13 892
[30]	Kotimäki V, Räsänen E, Hennig H and Heller E J 2013 Phys. Rev. E 88 022913
[17]	Nicole C, Sluimer I, Rosca-Pruna F, Warntjes M, Vrakking M, Bordas C, Texier F and Robicheaux F 2000 Phys. Rev. Lett. 85 4024
[18]	Ivanov I A, Nam C H and Kim K T 2016 Phys. Rev. A 93 043404
[31]	Yi X H, Bi J J, Liu R, Wang C K, Jiao Y and Li Z L 2016 Chin. Phys. B 25 128503
[19]	Hüpper B, Main Jörg and Wunner G 1995 Phys. Rev. Lett. 74 2650
[32]	Byrd T A and Delos J B 2014 Phys. Rev. E 89 022907
[20]	Xu X L, Zhang Y H, Cai X J, Zhao G P and Kang L S 2016 Chin. Phys. B 25 110301
[33]	Cai X J, Zhang Y H, Li Z L, Jiang G H, Yang Q N and Xu X Y 2013 Chin. Phys. B 22 020501
[34]	Mackay R S, Meiss J D and Percival I C 1984 Physica D 13 55
[21]	Liu F L and Zhao L B 2017 Phys. Rev. A 95 043428
[35]	Zhang Y H, Cai X J, Li Z L, Jiang G H, Yang Q N and Xu X Y 2013 Chin. Phys. Lett. 30 040501
[22]	Deng M, Gao W, Lu R, Delos J B, You L and Liu H P 2016 Phys. Rev. A 93 063411
[36]	Mitchell K A and Steck D A 2007 Phys. Rev. A 76 031403
[23]	Stodolna A S, Lépine F, Bergeman T, Robicheaux F, Gijsbertsen A, Jungmann J H, Bordas C and Vrakking M J J 2014 Phys. Rev. Lett. 113 103002
[37]	Friedman N, Kaplan A, Carasso D and Davidson N 2001 Phys. Rev. Lett. 86 1518
[24]	Chen X, Wu Y and Zhang J T 2017 Phys. Rev. A 95 013402
[38]	Mitchell K A and Delos J B 2006 Physica D:Nonlinear Phenomena 221 170
[25]	Wang L, Yang H F, Liu X J, Liu H P, Zhan M S and Delos J B 2010 Phys. Rev. A 82 022514
[26]	Mitchell K A, Handley J P, Tighe B, Flower A and Delos J B 2004 Phys. Rev. A 70 043407
[27]	Mitchell K A, Handley J P, Tighe B, Flower A and Delos J B 2004 Phys. Rev. Lett. 92 073001
[28]	Mitchell K A, Handley J P, Tighe B, Delos J B and Knudson S K 2003 Chaos:An Interdisciplinary Journal of Nonlinear Science 13 880
[29]	Mitchell K A, Handley J P, Delos J B and Knudson S K 2003 Chaos:An Interdisciplinary Journal of Nonlinear Science 13 892
[30]	Kotimäki V, Räsänen E, Hennig H and Heller E J 2013 Phys. Rev. E 88 022913
[31]	Yi X H, Bi J J, Liu R, Wang C K, Jiao Y and Li Z L 2016 Chin. Phys. B 25 128503
[32]	Byrd T A and Delos J B 2014 Phys. Rev. E 89 022907
[33]	Cai X J, Zhang Y H, Li Z L, Jiang G H, Yang Q N and Xu X Y 2013 Chin. Phys. B 22 020501
[34]	Mackay R S, Meiss J D and Percival I C 1984 Physica D 13 55
[35]	Zhang Y H, Cai X J, Li Z L, Jiang G H, Yang Q N and Xu X Y 2013 Chin. Phys. Lett. 30 040501
[36]	Mitchell K A and Steck D A 2007 Phys. Rev. A 76 031403
[37]	Friedman N, Kaplan A, Carasso D and Davidson N 2001 Phys. Rev. Lett. 86 1518
[38]	Mitchell K A and Delos J B 2006 Physica D:Nonlinear Phenomena 221 170

Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms

Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms

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