论文标题
有限激光脉冲散射扭曲的电子波袋
Scattering of a twisted electron wavepacket by a finite laser pulse
论文作者
论文摘要
在相对论量子力学中研究了与线性极化激光脉冲相撞的扭曲电子的行为。为了更好地拟合实际的实验条件,我们为初始电子状态以及激光脉冲的包络函数引入了高斯空间轮廓,因此两个相互作用的对象都沿激光传播方向具有有限的大小。对于此设置,我们分析了有关电子状态的各种可观察量的动力学:空间坐标的概率密度,角动量和平均值。结果表明,可以通过在具有各种横向动量成分方向的经典轨迹上取平均值来准确地描述扭曲波袋的运动。另一方面,完整的量子模拟表明,横向平面中波袋的环结构可能会显着扭曲,从而导致电子的总角动量中的大不确定性。一旦激光脉冲具有非零的电场区域,这种效果就会保持这种效果。
The behavior of a twisted electron colliding with a linearly polarized laser pulse is investigated within relativistic quantum mechanics. In order to better fit the real experimental conditions, we introduce a Gaussian spatial profile for the initial electron state as well as an envelope function for the laser pulse, so the both interacting objects have a finite size along the laser propagation direction. For this setup we analyze the dynamics of various observable quantities regarding the electron state: the probability density, angular momentum, and mean values of the spatial coordinates. It is shown that the motion of a twisted wavepacket can be accurately described by averaging over classical trajectories with various directions of the transverse momentum component. On the other hand, full quantum simulations demonstrate that the ring structure of the wavepacket in the transverse plane can be significantly distorted leading to large uncertainties in the total angular momentum of the electron. This effect remains after the interaction once the laser pulse has a nonzero electric-field area.