A Levinson theorem for scattering from a Bose-Einstein condensate
arXiv:cond-mat/0304546 · doi:10.1103/PhysRevLett.91.070403
Abstract
A relation between the number of bound collective excitations of an atomic Bose-Einstein condensate and the phase shift of elastically scattered atoms is derived. Within the Bogoliubov model of a weakly interacting Bose gas this relation is exact and generalises Levinson's theorem. Specific features of the Bogoliubov model such as complex-energy and continuum bound states are discussed and a numerical example is given.
4 pages, 3 figures
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- Particle scattering by harmonically trapped Bose and Fermi gases
- Collective Feshbach scattering of a superfluid droplet from a mesoscopic two-component Bose-Einstein condensate