发展能够高效直观分析超快强激光场与原子分子相互作用过程中非微扰动力学的理论方法是强场物理中的重要问题。本项目以基于量子轨线的库仑修正强场近似（TCSFA）方法为基础，发展中红外强场电离过程的半经典理论以扩展TCSFA的应用范围，使之适用于圆偏振光场、包含多库仑中心的分子体系等问题，系统地计算光电子能谱/动量谱与高次谐波，通过含时薛定谔方程与TCSFA对比求解、谱特征轨线分析等手段，研究在超快外光场与库仑相互作用共同存在时的非绝热效应，进一步讨论量子隧穿过程、量子干涉及轨线经典特性对强激光场电离动力学的贡献，探索强场物理中从量子到经典的过渡。并在计算方法上完成大规模轨线的GPU并行化，为当前国内相关实验平台提供模拟与分析的理论解决方案。

Theoretical treatments of non-perturbative quantum dynamics of atoms and molecules in ultrafast intense fields is nontrivial, but important. Starting with trajectory-based Coulomb corrected strong field approximation (TCSFA), we propose to develop semi-classical method to investigate ionization dynamics in mid-infrared strong fields, which allows the extension to calculate energy/momentum spectra in circularly polarized fields and high-order harmonic generation. By comparison between solutions of time-dependent Schrödinger equation and TCSFA and conducting trajectory analysis for interested spectral patterns, we will explore non-adiabatic effects induced by simultaneous presence of ultra-fast external light fields and Coulomb fields, clarifying contributions from quantum tunnelling, interferences and the classical aspect of trajectories, building the bridge between classical to quantum theories. Moreover, trajectory-based numerical methods with GPU acceleration will be implemented to provide systematic solutions, including simulation and theoretical analysis, for experimental corporations.