A Levinson theorem for scattering from a Bose-Einstein condensate

Details A Levinson theorem for scattering from a Bose-Einstein condensate A Levinson theorem for scattering from a Bose-Einstein condensate

2003-04-24

arxiv.org/abs/cond-mat/0304546v1

Phys. Rev. Lett. 91, 070403 (2003)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.91.070403

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.

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