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Trapped Bose gases with large positive scattering length

M. Thøgersen, D. V. Fedorov and A. S. Jensen

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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.


PACS

21.45.-v Few-body systems

03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties

03.75.Nt Other Bose-Einstein condensation phenomena

Subjects

Quantum gases, liquids and solids

Nuclear physics

Dates

Issue 4 (August 2007)

Received 30 May 2007, accepted for publication 26 June 2007

Published 19 July 2007



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