Pinning and transport of cyclotron/Landau orbits by electromagnetic vortices

Details Pinning and transport of cyclotron/Landau orbits by electromagnetic vortices Pinning and transport of cyclotron/Landau orbits by electromagnetic vortices

2006-02-03

arxiv.org/abs/quant-ph/0602049v2

Physical Review A 73, 052114 (2006)

Physics

Quantum Physics

This version differs from the printed paper in having the full titles of all referenced paper

Scientific paper

10.1103/PhysRevA.73.052114

Electromagnetic waves with phase defects in the form of vortex lines combined with a constant magnetic field are shown to pin down cyclotron orbits (Landau orbits in the quantum mechanical setting) of charged particles at the location of the vortex. This effect manifests itself in classical theory as a trapping of trajectories and in quantum theory as a Gaussian shape of the localized wave functions. Analytic solutions of the Lorentz equation in the classical case and of the Schr\"odinger or Dirac equations in the quantum case are exhibited that give precise criteria for the localization of the orbits. There is a range of parameters where the localization is destroyed by the parametric resonance. Pinning of orbits allows for their controlled positioning -- they can be transported by the motion of the vortex lines.

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