Looking inside the tunnelling barrier: II. Co- and counter-rotating electrons at the ‘tunnelling exit’
Looking inside the tunnelling barrier: II. Co- and counter-rotating electrons at the ‘tunnelling exit’
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DOI：
10.1088/1361-6455/aad132
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发表时间：
2018-08
期刊：
影响因子：
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通讯作者：
J. Kaushal;O. Smirnova
中科院分区：
文献类型：
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作者：
J. Kaushal;O. Smirnova
隧道势垒出口处的电子轨迹的初始条件通常用于强场模型中，例如在本期中庆祝的三步模型的第一步和第二步中桥接。由于解析R-矩阵理论不依赖于三步模型或坐标空间中的隧穿势垒的概念，严格来说，获得势垒出口处电子轨迹的初始条件对于计算标准可观测量是不必要的。不是必须的，但是有可能尤其是在这个问题的激励下。评估这种初始条件的机会是分析次势垒运动学的必然结果，其中包括激光场和库仑场在次周期尺度上的相互作用（见配套文件I）。我们应用我们的结果来讨论这种初始条件的差异，在强场电离过程中释放的同向和反向旋转的电子。我们推导出描述长程势中同向和反向旋转电子电离动力学的量子轨道和经典轨道。
The initial conditions for electron trajectories at the exit from the tunnelling barrier are often used in strong field models, for example to bridge the first and the second steps of the three-step model celebrated in this issue. Since the analytical R-matrix theory does not rely on the three-step model or the concept of the tunnelling barrier in coordinate space, obtaining the initial conditions for electron trajectories at the barrier exit is, strictly speaking, not necessary to calculate standard observables. Not necessary, but possible—especially when motivated by the occasion of this issue. The opportunity to evaluate such initial conditions emerges as a corollary of analysing sub-barrier kinematics, which includes the interplay of laser and Coulomb fields on the sub-cycle scale (see the companion paper I). We apply our results to discuss the difference in such initial conditions for co- and counter-rotating electrons liberated during strong field ionisation. We derive quantum orbits and classical trajectories describing ionization dynamics of co- and counter-rotating electrons in long-range potentials.