Unified approach towards the dynamics of optical and electron vortex beams
arXiv:1603.03155 · doi:10.1103/PhysRevLett.116.144801
Abstract
We have proposed a unified framework towards the dynamics of optical and electron vortex beams from the perspective of geometric phase and the associated Hall effects. The unification is attributed to the notion that the spin degrees of freedom of a relativistic particle, either massive or massless, is associated with a vortex line. %The formulation in cylindrical coordinates leads to a local vortex structure related to orbital angular momentum(OAM). Based on cylindrical corodinate formulation, which leads to a local vortex structure related to orbital angular momentum (OAM), it can be shown that when electron vortex beams (EVBs) move in an external electric field paraxial beams give rise to OAM Hall effect and non-paraxial beams with tilted vortices initiate spin Hall effect in free space as well as in an external field. A similar analysis reveals that the paraxial optical vortex beams(OVBs) in an inhomogeneous medium induce OAM Hall effect whereas non-paraxial beams with tilted vortices drive the spin Hall effect. Moreover, both OVBs and EVBs with tilted vortices give rise to OAM states with arbitrary fractional value.
arXiv commentAccepted for publication in Phys.Rev.Letts
References in corpus (15)
- Observation of a single-beam gradient force acoustical trap for elastic particles: acoustical tweezers
- Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
- Vortex knots in light
- Spatio-temporal vortex beams and angular momentum
- Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
- Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
- Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction
- Quantum Formulation of Fractional Orbital Angular Momentum
- Polarization Transport of Transverse Acoustic Waves: Berry Phase and Spin Hall Effect of Phonons
- Non-quantized Dirac monopoles and strings in the Berry phase of anisotropic spin systems
- Measuring two-photon orbital angular momentum entanglement
- Relativistic electron vortex beams in a laser field
- Dynamic electron correlation in interactions of light with matter formulated in b-space
- Electron vortex beams in a magnetic field and spin filter
- The geometric phase and the geometrodynamics of relativistic electron vortex beams