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arXiv · 1701.01245

Ground states of Bose-Einstein condensates with higher order interaction

Weizhu Bao·Yongyong Cai·Xinran Ruan
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Abstract

We analyze the ground state of a Bose-Einstein condensate in the presence of higher-order interaction (HOI), modeled by a modified Gross-Pitaevskii equation (MGPE). In fact, due to the appearance of HOI, the ground state structures become very rich and complicated. We establish the existence and non-existence results under different parameter regimes, and obtain their limiting behaviors and/or structures with different combinations of HOI and contact interactions. Both the whole space case and the bounded domain case are considered, where different structures of ground states are identified.

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Weizhu Bao, Yongyong Cai, Xinran Ruan. 2017-01-05. Ground states of Bose-Einstein condensates with higher order interaction. https://doi.org/10.1016/j.physd.2018.08.006

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