Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions

Details Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions

2002-10-10

arxiv.org/abs/cond-mat/0210229v1

Physics

Condensed Matter

7 pages, 9 figures

Scientific paper

10.1103/PhysRevA.67.013608

Motivated by the recent development of the Feshbach technique, we studied the ground and low-lying excited states of attractive Bose-Einstein condensates on a one-dimensional ring as a function of the strength of interactions. The Gross-Pitaevskii mean-field theory predicts a quantum phase transition between a uniform condensate and a bright soliton, and a gapless singular cusp in the Bogoliubov excitation spectrum at the critical point. However, the exact diagonalization reveals the presence of an energy gap at the critical point, where the singularity is smeared by quantum fluctuations.

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