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arXiv 0704.3239physics.atom-phphysics.comp-ph
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少周期强laser与复杂原子相互作用的一般方法

A general approach to few-cycle intense laser interactions with complex atoms

X. Guan, O. Zatsarinny, K. Bartschat, B. I. Schneider, J. Feist, C. J. Noble

备注：
7 pages (in the Phys. Rev. double column format) with 5 figures; processed with REVTEX
发表信息：
Physical Review A 76 (2007), 053411
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摘要：

本文用{ \it ab-initio}和非微扰方法求解了强阿秒激光脉冲与一般原子相互作用的含时薛定谔方程，除了准单电子或准双电子靶的模型之外，还描述了。无场哈密顿量和偶极子矩阵是使用灵活的$B$样条$R$矩阵方法产生的。这种数值实现使我们能够为束缚电子和连续统电子构建依赖项的、非正交的单电子轨道集。TDSE的解使用Arnoldi-Lanczos方法在时间上传播，该方法不需要任何大矩阵的对角化。该方法说明了应用程序的Ne原子的多光子激发和电离。与$R$ -矩阵Floquet计算的双光子电离广义截面的一致性很好。

英文摘要：

A general {\it ab-initio} and non-perturbative method to solve the time-dependent Schrödinger equation (TDSE) for the interaction of a strong attosecond laser pulse with a general atom, i.e., beyond the models of quasi-one-electron or quasi-two-electron targets, is described. The field-free Hamiltonian and the dipole matrices are generated using a flexible $B$-spline $R$-matrix method. This numerical implementation enables us to construct term-dependent, non-orthogonal sets of one-electron orbitals for the bound and continuum electrons. The solution of the TDSE is propagated in time using the Arnoldi-Lanczos method, which does not require the diagonalization of any large matrices. The method is illustrated by an application to the multi-photon excitation and ionization of Ne atoms. Good agreement with $R$-matrix Floquet calculations for the generalized cross sections for two-photon ionization is achieved.

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