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arXiv physics/9805022physics.atom-phphysics.acc-ph
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类氢原子在非单色laser场作用下的共振三光子电离

Resonant 3--photon ionization of hydrogenic atoms by non-monochromatic laser field

V Yakhontov, R. Santra, K. Jungmann

摘要:

本文计算了类氢原子基态在振幅随时间变化的非单色激光场中的两步三光子电离过程$1S \stackrel{2\hbar ω}{\longrightarrow}2S \stackrel{\hbar ω}{\longrightarrow}εP $的电离几率和线形。在一个三能级模型的框架内,{ \it AC斯塔克}位移和非零电离率的所有涉及的国家一起考虑到空间和时间的不均匀性的激光信号。与通常的微扰方法不同,我们通过直接数值求解耦合的含时非齐次微分方程组来模拟原子态的时间演化,该方程组等价于适当的非定常薛定谔方程。在卢瑟福-阿普尔顿实验室测量μ介子中$1S-2S$能量分离的新实验中,脉冲激光场的典型参数得到了特定的数值结果。所揭示的光电离线形状的偏移和不对称性可能与连续波激光场中氢的超高精度实验有关。

英文摘要:

We present ionization probability and line shape calculations for the two-step 3-photon ionization process, $1S \stackrel{2\hbar ω}{\longrightarrow}2S \stackrel{\hbar ω}{\longrightarrow}εP $, of the ground state of hydrogenic atoms in a non-monochromatic laser field with a time--dependent amplitude. Within the framework of a three--level model, the {\it AC Stark} shifts and non-zero ionization rates of all states involved were taken into account together with spatial and temporal inhomogeneities of the laser signal. In contrast with the usual perturbative technique, the time evolution of the atomic states was simulated by direct numerically solving the system of coupled time--dependent inhomogeneous differential equations, being equivalent to the appropriate non-stationary Schrödinger equation. Particular numerical results were obtained for typical parameters of the pulsed laser field that are employed in a new experiment to measure the $1S-2S$ energy separation in muonium at the Rutherford Appleton Laboratory. The shifts and asymmetries of the photoionization line shapes revealed may be of relevance for ultra-high precision experiments in hydrogen in CW laser fields.

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