Research School of Physics and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia.
Institut für Kernphysik, Goethe-Universität, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany.
Phys Rev Lett. 2018 Sep 21;121(12):123201. doi: 10.1103/PhysRevLett.121.123201.
We demonstrate a clear similarity between attoclock offset angles and Rutherford scattering angles taking the Keldysh tunneling width as the impact parameter and the vector potential of the driving pulse as the asymptotic velocity. This simple model is tested against the solution of the time-dependent Schrödinger equation using hydrogenic and screened (Yukawa) potentials of equal binding energy. We observe a smooth transition from a hydrogenic to "hard-zero" intensity dependence of the offset angle with variation of the Yukawa screening parameter. Additionally, we make a comparison with the attoclock offset angles for various noble gases obtained with the classical-trajectory Monte Carlo method. In all cases we find a close correspondence between the model predictions and numerical calculations. This suggests a largely Coulombic origin of the attoclock offset angle and casts further doubt on its interpretation in terms of a finite tunneling time.
我们展示了阿秒钟偏移角度与卢瑟福散射角度之间的明显相似性,将凯尔德什隧道宽度作为影响参数,并将驱动脉冲的矢量势作为渐近速度。该简单模型通过使用具有相同束缚能的氢原子和屏蔽(Yukawa)势对含时薛定谔方程的解进行了测试。我们观察到,随着 Yukawa 屏蔽参数的变化,偏移角度从氢原子的“硬零”强度依赖性到“硬零”强度依赖性的平滑转变。此外,我们还与使用经典轨迹蒙特卡罗方法获得的各种惰性气体的阿秒钟偏移角度进行了比较。在所有情况下,我们都发现模型预测与数值计算之间存在密切对应关系。这表明阿秒钟偏移角度的起源主要是库仑的,并进一步怀疑其根据有限的隧道时间来解释。