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

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

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

Received: 01 July 2009
Revised: 12 October 2009
Accepted manuscript online:

PACS:	32.80.Fb	(Photoionization of atoms and ions)
	32.60.+i	(Zeeman and Stark effects)
	31.15.xg	(Semiclassical methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10774093 and 10374061).

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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 2010 Chin. Phys. B 19 040511

[1]	Lankhuijzen G M and Noordam L D 1995 Phys. Rev. A 52 2016
[2]	Lankhuijzen G M and Noordam L D 1996 Phys. Rev. Lett. 76 1748
[3]	Robicheaux F and Shaw J 1996 Phys. Rev. Lett. 77 4154 Robicheaux F and Shaw J 1997 Phys. Rev. A 56 278
[4]	Mitchell K A, Handley J P, Tighe B and Delos J B 2004 Phys. Rev. Lett. 92 073001
	[Mitchell K A, Handley J P, Tighe B and Delos J B 2004 Phys. Rev. A 70 043407
[5]	Hansen P, Mitchell K A and Delos J B 2006 Phys. Rev. E 73 066226
[6]	Mitchell K A and Steck D A 2007 Phys. Rev. A 70 031403
[7]	Zhou H, Li H Y, Gao S, Zhang Y H, Jia Z M and Lin S L 2008 Chin. Phys. B 17 4428
[8]	Lin S L, Zhou H, Xu X Y, Jia Z M and Deng S H 2008 Chin. Phys. Lett. 25 4251
[9]	Gao S, Xu X Y, Zhou H, Zhang Y H and Lin S L 2009 Acta Phys. Sin. 58 1473 (in Chinese)
[10]	Courtney M, Spellmeyer N, Jiao H and Kleppner D 1995 Phys. Rev. A 51 3604
[11]	Gao J, Delos J B and Baruch M 1992 Phys. Rev. A 46 1449
[12]	Haggerty M R and Delos J B 2000 Phys. Rev. A 61 053406
[13]	Dando P A, Monteiro T S, Delande D and Taylor K T 1996 Phys. Rev. A 54 127
[14]	Mitchell K A, Handley J P, Tighe B and Delos J B 2003 Chaos 13 880
	[Mitchell K A, Handley J P, Tighe B and Delos J B 2003 Chaos 13 892
[15]	Meyer K R 1970 Trans. Am. Math. Soc. 149 95
[16]	Meyer K R and Hall G R 1992 Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (New York: Springer) p.224
[17]	Courtney M, Spellmeyer N, Jiao H and Kleppner D 1995 Phys. Rev. A 51 3604

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

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