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The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field
作者姓名:邓善红  高嵩  李永平  徐学友  林圣路
作者单位:College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant Nos.~10774093 and 10374061).
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.

关 键 词:fractal  structure  Poincaré  map  homoclinic  tangle  ionization  of  Rydberg  atoms
收稿时间:7/1/2009 12:00:00 AM

The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field
Deng Shan-Hong,Gao Song,Li Yong-Ping,Xu Xue-You and Lin Sheng-Lu.The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field[J].Chinese Physics B,2010,19(4):40511-040511.
Authors:Deng Shan-Hong  Gao Song  Li Yong-Ping  Xu Xue-You and Lin Sheng-Lu
Affiliation:College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
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.
Keywords:fractal structure  Poincaré} map  homoclinic tangle  ionization of Rydberg atoms
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