2003/04/24 by Joachim Brand, J. Brand, Ivo Häring +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.soft
paper · pdf · doi:10.1103/physrevlett.91.070403
published as Phys. Rev. Lett. 91, 070403 (2003) · 4 pages, 3 figures
arxiv created 2003/04/24 · openalex publication_date 2003/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.