Two-dimensional superfluid flows in inhomogeneous Bose-Einstein condensates

被引：15
作者：
Yan, Zhenya [1 ]
Konotop, V. V. [3 ,4 ]
Yulin, A. V. [3 ,4 ]
Liu, W. M. [2 ]
机构：
[1] Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
[3] Univ Lisbon, Fac Ciencias, Dept Fis, P-1649003 Lisbon, Portugal
[4] Univ Lisbon, Fac Ciencias, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal
来源：
PHYSICAL REVIEW E | 2012年 / 85卷 / 01期
关键词：
NONLINEAR SCHRODINGER-EQUATION; SOLITONS; DYNAMICS;
D O I：
10.1103/PhysRevE.85.016601
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We report an algorithm of constructing linear and nonlinear potentials in the two-dimensional Gross-Pitaevskii equation subject to given boundary conditions, which allow for exact analytic solutions. The obtained solutions represent superfluid flows in inhomogeneous Bose-Einstein condensates. The method is based on the combination of the similarity reduction of the two-dimensional Gross-Pitaevskii equation to the one-dimensional nonlinear Schrodinger equation, the latter allowing for exact solutions, with the conformal mapping of the given domain, where the flow is considered, to a half space. The stability of the obtained flows is addressed. A number of stable and physically relevant examples are described.
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页数：5
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