Exact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates

被引：65

作者：

Wu, Lei ^{[1
]}

Li, Lu ^{[2
]}

Zhang, Jie-Fang ^{[1
]}

Mihalache, Dumitru ^{[3
]}

Malomed, Boris A. ^{[4
]}

Liu, W. M. ^{[5
]}

机构：

[1] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Zhejiang, Peoples R China

[2] Shanxi Univ, Inst Theoret Phys, Taiyuan 030006, Shanxi, Peoples R China

[3] Horia Hulubei Natl Inst Phys & Nucl Engn, R-077125 Magurele, Romania

[4] Tel Aviv Univ, Fac Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

[5] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China

来源：

PHYSICAL REVIEW A | 2010年 / 81卷 / 06期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR SCHRODINGER-EQUATION; OPTICAL LATTICES; DARK SOLITONS;

D O I：

10.1103/PhysRevA.81.061805

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We construct exact solutions of the Gross-Pitaevskii equation for solitary vortices, and approximate ones for fundamental solitons, in two-dimensional models of Bose-Einstein condensates with a spatially modulated nonlinearity of either sign and a harmonic trapping potential. The number of vortex-soliton (VS) modes is determined by the discrete energy spectrum of a related linear Schrodinger equation. The VS families in the system with the attractive and repulsive nonlinearity are mutually complementary. Stable VSs with vorticity S >= 2 and those corresponding to higher-order radial states are reported, in the case of the attraction and repulsion, respectively.

引用

页数：4

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