Vortex knots in a Bose-Einstein condensate

被引：76
|
作者：
Proment, Davide [1 ,2 ]
Onorato, Miguel [1 ,2 ]
Barenghi, Carlo F. [3 ]
机构：
[1] Univ Turin, Dipartimento Fis, I-10125 Turin, Italy
[2] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy
[3] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
来源：
PHYSICAL REVIEW E | 2012年 / 85卷 / 03期
基金：
英国工程与自然科学研究理事会;
关键词：
STABILITY; DYNAMICS; ENERGY;
D O I：
10.1103/PhysRevE.85.036306
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 present a method for numerically building a vortex knot state in the superfluid wave function of a Bose-Einstein condensate. We integrate in time the governing Gross-Pitaevskii equation to determine evolution and shape preservation of the two (topologically) simplest vortex knots which can be wrapped over a torus. We find that the velocity of a vortex knot depends on the ratio of poloidal and toroidal radius: for smaller ratio, the knot travels faster. Finally, we show how vortex knots break up into vortex rings.
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页数：8
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