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.
引用
收藏
页数：8
相关论文
共 50 条
  • [41] Stable vortex in Bose-Einstein condensate dark matter
    Nikolaieva, Y.O.
    Olashyn, A.O.
    Kuriatnikov, Y.I.
    Vilchynskii, S.I.
    Yakimenko, A.I.
    Fizika Nizkikh Temperatur, 2021, 47 (08): : 744 - 752
  • [42] Vortex solutions in a binary immiscible Bose-Einstein condensate
    Doran, R.
    Baggaley, A. W.
    Parker, N. G.
    PHYSICAL REVIEW A, 2024, 109 (02)
  • [43] Critical velocity for vortex shedding in a Bose-Einstein condensate
    Kwon, Woo Jin
    Moon, Geol
    Seo, Sang Won
    Shin, Y.
    PHYSICAL REVIEW A, 2015, 91 (05):
  • [44] Vortex dynamics in a parabolically confined Bose-Einstein condensate
    Tempere, J
    Devreese, JT
    SOLID STATE COMMUNICATIONS, 2000, 113 (08) : 471 - 474
  • [45] Collision of parallel vortex dipoles in a Bose-Einstein condensate
    Yang, Guoquan
    Zhang, Suying
    Jin, Jingjing
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2019, 52 (06)
  • [46] ON THE VORTEX STRUCTURE IN TWO COMPONENT BOSE-EINSTEIN CONDENSATE
    Ivashin, A. P.
    Poluektov, Yu. M.
    EAST EUROPEAN JOURNAL OF PHYSICS, 2014, 1 (03): : 104 - 111
  • [47] Quantum fluctuations of a vortex in a dilute Bose-Einstein condensate
    Dziarmaga, J
    Meisner, J
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2005, 38 (23) : 4211 - 4219
  • [48] Stable vortex in Bose-Einstein condensate dark matter
    Nikolaieva, Y. O.
    Olashyn, A. O.
    Kuriatnikov, Y. I.
    Vilchynskii, S. I.
    Yakimenko, A. I.
    LOW TEMPERATURE PHYSICS, 2021, 47 (08) : 684 - 692
  • [49] Coreless vortex formation in a spinor Bose-Einstein condensate
    Leanhardt, AE
    Shin, Y
    Kielpinski, D
    Pritchard, DE
    Ketterle, W
    PHYSICAL REVIEW LETTERS, 2003, 90 (14)
  • [50] Vortex lattice formation in a rotating Bose-Einstein condensate
    Tsubota, M
    Kasamatsu, K
    Ueda, M
    PHYSICAL REVIEW A, 2002, 65 (02): : 4
12345