Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions

Details Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions

2000-12-14

arxiv.org/abs/cond-mat/0012259v3

Phys. Rev. Lett. 87, 030404 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 ps figures

Scientific paper

10.1103/PhysRevLett.87.030404

The ground state and its structure for a rotating, harmonically trapped N-Boson system with a weak repulsive contact interaction are studied as the angular momentum L increases up to 3N. We show that the ground state is generally a fragmented condensate due to angular momentum conservation. In response to an (arbitrarily weak) asymmetric perturbation of the trap, however, the fragmented ground state can be transformed into a single condensate state. We manifest this intrinsic instability by calculating the conditional probability distributions, which show patterns analogous to the boson density distributions predicted by mean-field theory.

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