Ballistic matter waves with angular momentum: Exact solutions and applications

Abstract

An alternative description of quantum scattering processes rests on inhomogeneous terms amended to the Schroedinger equation. We detail the structure of sources that give rise to multipole scattering waves of definite angular momentum, and introduce pointlike multipole sources as their limiting case. Partial wave theory is recovered for freely propagating particles. We obtain novel results for ballistic scattering in an external uniform force field, where we provide analytical solutions for both the scattering waves and the integrated particle flux. Our theory directly applies to p-wave photodetachment in an electric field. Furthermore, illustrating the effects of extended sources, we predict some properties of vortex-bearing atom laser beams outcoupled from a rotating Bose-Einstein condensate under the influence of gravity.

42 pages, 8 figures, extended version including photodetachment and semiclassical theory

References in corpus (9)

• Vortex formation in a stirred Bose-Einstein condensate
• Vortices in a Bose-Einstein Condensate
• An Atom Laser with a cw Output Coupler
• Bose-Einstein Condensates with Large Number of Vortices
• Nonequilibrium effects of anisotropic compression applied to vortex lattices in Bose-Einstein condensates
• Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials
• Using surface-wave spectroscopy to characterize tilt modes of a vortex in a Bose-Einstein Condensate
• Matter waves from quantum sources in a force field
• Four-path interference and uncertainty principle in photodetachment microscopy

Cited by in corpus (11)

• Electron dynamics in parallel electric and magnetic fields
• Electron propagation in crossed magnetic and electric fields
• Observed photodetachment in parallel electric and magnetic fields
• $T^3$-interferometer for atoms
• The space atom laser: An isotropic source for ultra-cold atoms in microgravity
• Closed-orbit theory for photodetachment in a time-dependent electric field
• The photoelectric effect in external fields
• Propagation of charged particle waves in a uniform magnetic field
• Quantum theory of an atom laser originating from a Bose-Einstein condensate or a Fermi gas in the presence of gravity
• The Spherical Tensor Gradient Operator
• Propagation in crossed electric and magnetic fields: The quantum source approach