It is well known that bosonic particles with attractive interaction in a
uniform gas do not form a condensate. Here we investigate a dilute Bose gas
and study stationary solutions of the Gross–Pitaevskii equation with
attractive interaction. We have also used a higher order stabilising term in
the presence of a harmonic confining potential. We show that there are three
possible types of stationary solutions corresponding to stable, metastable and
unstable phases. These results are discussed in relation to a
7Li condensate.
Bose-Einstein condensation and superfluidity of a dilute Bose gas in a random potential
