Ground states of Bose-Einstein condensates with higher order interaction

PHYSICA D-NONLINEAR PHENOMENA

卷:386

Article

Bao, Weizhu¹  Cai, Yongyong²  Ruan, Xinran¹ 

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Beijing Computat Sci Res Ctr, 10 West Dongbeiwang Rd, Beijing 100193, Peoples R China

关键词: Bose-Einstein condensate;    Higher order interaction;    Gross-Pitaevskii equation;    Ground state;   

DOI  :  10.1016/j.physd.2018.08.006

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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