论文标题
2D量子涡流的Wigner时间延迟和鹅孔偏移，散布在潜在的障碍物
Wigner time delays and Goos-Hänchen shifts of 2D quantum vortices scattered by potential barriers
论文作者
论文摘要
我们考虑在电势型，三角洲功能和矩形屏障上使用相位涡旋（也称为时空涡旋脉冲）的2D量子波袋的反射和传播。涡流的存在显着修改了Wigner的时间延迟和Goos-HänchenShifts先前研究过的高斯样波袋。特别是，当标准的Wigner和Artmann公式消失时，散射的波袋即使是纯粹的真实散射系数也会经历非零的时间延迟和侧向移动。我们得出了涡流引起的时间延迟和2D涡旋的空间变化的分析表达式，并通过schrödinger方程的数值计算来验证这些表达式。在临界角发生率的附近，时间延迟和偏移得到了共同的增强，以产生类似矩形屏障的阶梯状电势和接近的透射共振。
We consider reflection and transmission of 2D quantum wavepackets with phase vortices (also known in optics as spatiotemporal vortex pulses) at potential step-like, delta-function, and rectangular barriers. The presence of a vortex significantly modifies the Wigner time delays and Goos-Hänchen shifts, previously studied for Gaussian-like wavepackets. In particular, the scattered wavepackets undergo non-zero time delays and lateral shifts even for purely real scattering coefficients, when the standard Wigner and Artmann formulae vanish. We derive analytical expressions for the vortex-induced times delays and spatial shifts of 2D vortices and verify these with numerical calculations of the Schrödinger equation. The time delays and shifts are resonantly enhanced in the vicinity of the critical-angle incidence for a step-like potential and near transmission resonances for a rectangular barrier.
