Stable knots in the trapped Bose-Einstein condensates

被引:7
作者
Liu, Yong-Kai [1 ]
Feng, Shiping [1 ]
Yang, Shi-Jie [1 ,2 ]
机构
[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
[2] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
基金
美国国家科学基金会;
关键词
DYNAMICS;
D O I
10.1209/0295-5075/106/50005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The knot of the spin-texture is studied within the two-component Bose-Einstein condensates which are described by the nonlinear Gross-Pitaevskii equations. We start from the noninteracting equations including an axisymmetric harmonic trap to obtain an exact solution, which exhibits a nontrivial topological structure. The spin-texture is a knot with an integral Hopf invariant. The stability of the knot is verified by numerically evolving the nonlinear Gross-Pitaevskii equations along imaginary time. Copyright (C) EPLA, 2014
引用
收藏
页数:11
相关论文
共 31 条
[1]   Hidden symmetry and knot solitons in a charged two-condensate Bose system [J].
Babaev, E ;
Faddeev, LD ;
Niemi, AJ .
PHYSICAL REVIEW B, 2002, 65 (10) :1-4
[2]   An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates [J].
Bao, Weizhu ;
Wang, Hanquan .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 217 (02) :612-626
[3]   MATHEMATICAL THEORY AND NUMERICAL METHODS FOR BOSE-EINSTEIN CONDENSATION [J].
Bao, Weizhu ;
Cai, Yongyong .
KINETIC AND RELATED MODELS, 2013, 6 (01) :1-135
[4]   Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation [J].
Bao, WZ ;
Jaksch, D ;
Markowich, PA .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 187 (01) :318-342
[5]   Stable skyrmions in two-component Bose-Einstein condensates [J].
Battye, RA ;
Cooper, NR ;
Sutcliffe, PM .
PHYSICAL REVIEW LETTERS, 2002, 88 (08) :4-080401
[6]   Reinterpretation of Faddeev-Niemi knot in Skyrme theory [J].
Cho, YM .
PHYSICS LETTERS B, 2004, 603 (1-2) :88-93
[7]   Observation of Topologically Stable 2D Skyrmions in an Antiferromagnetic Spinor Bose-Einstein Condensate [J].
Choi, Jae-Yoon ;
Kwon, Woo Jin ;
Shin, Yong-il .
PHYSICAL REVIEW LETTERS, 2012, 108 (03)
[8]   Unwinding in Hopfion vortex bunches [J].
Jaykka, Juha ;
Hietarinta, Jarmo .
PHYSICAL REVIEW D, 2009, 79 (12)
[9]   Wall-vortex composite solitons in two-component Bose-Einstein condensates [J].
Kasamatsu, Kenichi ;
Takeuchi, Hiromitsu ;
Tsubota, Makoto ;
Nitta, Muneto .
PHYSICAL REVIEW A, 2013, 88 (01)
[10]   Spinor Bose-Einstein condensates [J].
Kawaguchi, Yuki ;
Ueda, Masahito .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2012, 520 (05) :253-381