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Chinese Physics Letters

A Time-Dependent Approach to High-Resolution Photoabsorption Spectrum of Rydberg Atoms in Magnetic Fields

Xue-Bin Bian, 刘红平, 史庭云

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

在磁场的 Rydberg 原子的高分辨率的相片吸收光谱的一条柔韧的时间依赖者途径被介绍。传统地，我们有到数字地 diagonalize 解决 eigen 问题然后获得的一个巨大的矩阵光谱信息。这矩阵操作与大记忆要求高速度的计算机。或者我们在场一单一但是很容易，以一个便宜方法的 parallelized 时间进化方法，它很精确和马厩在长期的规模进化弄平。与这个方法，我们表演光谱在磁场的氢原子的计算，它与试验性的观察同意很好。在更复杂的盒子例如中学习 Rydberg 原子的动力学能被扩大在里面联合电并且磁场。

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在磁场的 Rydberg 原子的高分辨率的相片吸收光谱的一条柔韧的时间依赖者途径被介绍。传统地，我们有到数字地 diagonalize 解决 eigen 问题然后获得的一个巨大的矩阵光谱信息。这矩阵操作与大记忆要求高速度的计算机。或者我们在场一单一但是很容易，以一个便宜方法的 parallelized 时间进化方法，它很精确和马厩在长期的规模进化弄平。与这个方法，我们表演光谱在磁场的氢原子的计算，它与试验性的观察同意很好。在更复杂的盒子例如中学习 Rydberg 原子的动力学能被扩大在里面联合电并且磁场。
A robust time-dependent approach to the high-resolution photoabsorption spectrum of Rydberg atoms in magnetic fields is presented. Traditionally we have to numerically diagonalize a huge matrix to solve the eigen-problem and then to obtain the spectral information. This matrix operation requires high-speed computers with large memories. Alternatively we present a unitary but very easily parallelized time-evolution method in an inexpensive way, which is very accurate and stable even in long-time scale evolution. With this method, we perform the spectral calculation of hydrogen atom in magnetic field, which agrees well with the experimental observation. It can be extended to study the dynamics of Rydberg atoms in more complicated cases such as in combined electric and magnetic fields.
We present theoretical results for the photoabsorption spectrum of an atom in parallel electric and magnetic fields, using the R-matrix method combined with quantum-defect theory. We introduce a radial basis set which is complete and orthonormal over a semi-infinite interval $[{r}_{0},\ensuremath{\infty}),$ to allow calculations to be performed for high Rydberg states in nonhydrogenic atoms without encountering problems due to linear dependence of the basis set. The nonhydrogenic character of the spectra is analyzed for Li and Rb, and a comparison is made with previous high-precision experiments which shows that the theoretical results agree very well with experiment.