Levinson-Like Theorem for Scattering from a Bose-Einstein Condensate
- 15 August 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 91 (7) , 070403
- https://doi.org/10.1103/physrevlett.91.070403
Abstract
A relation between the number of bound elementary 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 generalizes 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.Keywords
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This publication has 18 references indexed in Scilit:
- Scattering of atoms on a Bose-Einstein condensatePhysical Review A, 2003
- Generation of Macroscopic Pair-Correlated Atomic Beams by Four-Wave Mixing in Bose-Einstein CondensatesPhysical Review Letters, 2002
- Bose-Einstein Condensation in a Surface MicrotrapPhysical Review Letters, 2001
- Beam Splitter for Guided AtomsPhysical Review Letters, 2000
- Identical particle scattering from a weakly coupled Bose-Einstein condensed gasPhysical Review A, 2000
- Temporal, Matter-Wave-Dispersion Talbot EffectPhysical Review Letters, 1999
- Testing quantum correlations in a confined atomic cloud by the scattering of fast atomsPhysical Review A, 1999
- Atom Laser with a cw Output CouplerPhysical Review Letters, 1999
- Theory of Bose-Einstein condensation in trapped gasesReviews of Modern Physics, 1999
- Scattering of atoms on the Bose-Einstein condensateJournal of Physics B: Atomic, Molecular and Optical Physics, 1999