Do attractive bosons condense?

Details Do attractive bosons condense? Do attractive bosons condense?

1997-05-06

arxiv.org/abs/cond-mat/9705050v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, Latex, RevTex

Scientific paper

10.1103/PhysRevLett.80.2265

Motivated by experiments on bose atoms in traps which have attractive interactions (e.g. ^7Li), we consider two models which may be solved exactly. We construct the ground states subject to the constraint that the system is rotating with angular momentum proportional to the number of atoms. In a conventional system this would lead to quantised vortices; here, for attractive interactions, we find that the angular momentum is absorbed by the centre of mass motion. Moreover, the state is uncondensed and is an example of a `fragmented' condensate discussed by Nozi\`eres and Saint James. The same models with repulsive interactions are fully condensed in the thermodynamic limit.

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