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Chin. Phys. B, 2018, Vol. 27(5): 053401    DOI: 10.1088/1674-1056/27/5/053401
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

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
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.
Keywords:  ionization dynamics      Rydberg atoms      fractal rhythm      kinetic energy spectrum  
Received:  05 August 2017      Revised:  12 January 2018      Accepted manuscript online: 
PACS:  34.50.Fa (Electronic excitation and ionization of atoms (including beam-foil excitation and ionization))  
  05.45.Pq (Numerical simulations of chaotic systems)  
  03.65.Sq (Semiclassical theories and applications)  
Fund: 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.
Corresponding Authors:  Yanhui Zhang     E-mail:  yhzhang@sdnu.edu.cn

Cite this article: 

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 2018 Chin. Phys. B 27 053401

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