The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field

doi:10.1088/1674-1056/19/4/040511

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40511-040511.doi: 10.1088/1674-1056/19/4/040511

The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field

邓善红, 高嵩, 李永平, 徐学友, 林圣路

College of Physics and Electronics, Shandong Normal University, Jinan 250014, China

收稿日期:2009-07-01 修回日期:2009-10-12 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10774093 and 10374061).

The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field

Deng Shan-Hong(邓善红), Gao Song(高嵩), Li Yong-Ping(李永平), Xu Xue-You(徐学友), and Lin Sheng-Lu(林圣路)^†

College of Physics and Electronics, Shandong Normal University, Jinan 250014, China

Received:2009-07-01 Revised:2009-10-12 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10774093 and 10374061).

摘要/Abstract

摘要： The ionization rate of Rydberg lithium atoms in a static electric field is examined within semiclassical theory which involves scattering effects off the core. By semiclassical analysis, this ionization process can be considered as the promoted valence electrons escaping through the Stark saddle point into the ionization channels. The resulting escape spectrum of the ejected electrons demonstrates a remarkable irregular electron pulse train in time-dependence and a complicated nesting structure with respect to the initial launching angles. Based on the Poincaré} map and homoclinic tangle approach, the chaotic behaviour along with its corresponding fractal self-similar structure of the ionization spectra are analysed in detail. Our work is significant for understanding the quantum-classical correspondence.

Abstract: The ionization rate of Rydberg lithium atoms in a static electric field is examined within semiclassical theory which involves scattering effects off the core. By semiclassical analysis, this ionization process can be considered as the promoted valence electrons escaping through the Stark saddle point into the ionization channels. The resulting escape spectrum of the ejected electrons demonstrates a remarkable irregular electron pulse train in time-dependence and a complicated nesting structure with respect to the initial launching angles. Based on the Poincaré} map and homoclinic tangle approach, the chaotic behaviour along with its corresponding fractal self-similar structure of the ionization spectra are analysed in detail. Our work is significant for understanding the quantum-classical correspondence.

Key words: fractal structure, Poincaré map, homoclinic tangle, ionization of Rydberg atoms

中图分类号: (Photoionization of atoms and ions)

32.80.Fb

32.60.+i (Zeeman and Stark effects) 31.15.xg (Semiclassical methods)

邓善红, 高嵩, 李永平, 徐学友, 林圣路. The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field[J]. 中国物理B, 2010, 19(4): 40511-040511.

Deng Shan-Hong(邓善红), Gao Song(高嵩), Li Yong-Ping(李永平), Xu Xue-You(徐学友), and Lin Sheng-Lu(林圣路). The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field[J]. Chin. Phys. B, 2010, 19(4): 40511-040511.

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The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field

The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field

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