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Trapped Bose gases with large positive scattering length

Quantum Physics 2009-07-17 v1 Quantum Gases

Abstract

We calculate the energy and the condensate fraction of a system of trapped bosons interacting via a short-range two-body potential with positive scattering length. The potential is attractive and has a two-body bound state. When the scattering length is small compared to the trap length the system is model independent: all potential models -- attractive, repulsive and zero-range -- provide similar results. When the scattering length is large the attractive model differs qualitatively from the repulsive and zero-range models. In this regime the system with attractive potential becomes independent of the scattering length, with both the energy and the condensate fraction converging towards finite constants.

Keywords

Cite

@article{arxiv.0706.3300,
  title  = {Trapped Bose gases with large positive scattering length},
  author = {M. Thøgersen and D. V. Fedorov and A. S. Jensen},
  journal= {arXiv preprint arXiv:0706.3300},
  year   = {2009}
}
R2 v1 2026-06-21T08:41:06.681Z