Abstract

We consider the redistribution of the Rydberg state population resulting from multistep cascade transitions induced by radiation with a continuous spectrum. The population distribution is analyzed within the space of quantum numbers n and l. The dynamics of the system are studied using both the numerical solution of kinetic equations and the diffusion approximation based on the Fokker–Planck equation. The main path of the redistribution process is determined.

Highlights

  • We focus on the first stage of the described process, i.e., the diffusive redistribution of the Rydberg state population induced by radiation

  • We considered diffusion-like redistribution of population between the Rydberg states in an atom due to a multistep cascade of transitions induced by a continuous-spectrum radiation

  • The study is based on numeric simulation of the kinetic equations and its qualitative analysis in the space of quantum numbers n, l

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Summary

Introduction

Interest in the diffusion-like redistribution of the Rydberg state population induced by radiation has been aroused by experimental observation of microwave ionization of hydrogen Rydberg states [1,2,3]. This process has been described within the framework of classical chaotic motion theory [4,5,6,7,8] or, alternatively, in terms of quantum diffusion [9]. We focus on the first stage of the described process, i.e., the diffusive redistribution of the Rydberg state population induced by radiation.

Diffusion throughout States Induced by Radiation with a Rectangular Spectrum
The Boundaries of the Population Distribution Region
The Main Path
Conclusions
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