Wigner time delays and Goos-Hänchen shifts of 2D quantum vortices scattered by potential barriers
arXiv:2204.01220 · doi:10.1088/1751-8121/ac8c09
Abstract
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.
16 pages, 7 figures
References in corpus (16)
- Electromagnetic Force and Momentum
- Electromagnetic Angular Momentum
- Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
- Photonic Cyclone: spatiotemporal optical vortex with controllable transverse orbital angular momentum
- Role of beam propagation in Goos-Hänchen and Imbert-Fedorov shifts
- Complex weak values in quantum measurement
- Free-space propagation of spatio-temporal optical vortices (STOVs)
- Quantum Goos-Hanchen effect in graphene
- Spatio-temporal vortex beams and angular momentum
- Weak Measurements of Light Chirality with a Plasmonic Slit
- Spatiotemporal Vortex Pulses: Angular Momenta and Spin-Orbit Interaction
- Goos-Hänchen and Imbert-Fedorov shifts of polarized vortex beams
- Spatiotemporal differentiators generating optical vortices with transverse orbital angular momentum and detecting sharp change of pulse envelope
- Topological aberration of optical vortex beams and singularimetry of dielectric interfaces
- Generalized shifts and weak values for polarization components of reflected light beams
- On-demand coherent perfect absorption in complex scattering systems: time delay divergence and enhanced sensitivity to perturbations