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

Xia-Ji Liu·Hui Hu·Lee Chang·Weiping Zhang·Shi-Qun Li·Yu-Zhu Wang
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Abstract

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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Xia-Ji Liu, Hui Hu, Lee Chang, Weiping Zhang, Shi-Qun Li, Yu-Zhu Wang. 2001-07-08. Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions. https://doi.org/10.1103/physrevlett.87.030404

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