Physics – Condensed Matter
Scientific paper
2002-10-29
Phys. Rev. A, 67 (2003) 011601(R)
Physics
Condensed Matter
4 pages, 4 ps figures, RevTex, typographic errors corrected
Scientific paper
10.1103/PhysRevA.67.011601
Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the coupling constant increases. Both the mean-field approximation, as well as a diagonalization scheme are used to attack the problem.
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