Perturbative behavior of a vortex in a trapped Bose-Einstein condensate

被引：11

作者：

Koens, Lyndon ^{[1
]}

Martin, Andrew M. ^{[1
]}

机构：

[1] Univ Melbourne, Sch Phys, Parkville, Vic 3010, Australia

来源：

PHYSICAL REVIEW A | 2012年 / 86卷 / 01期

关键词：

VORTICES; MOTION; LINES;

D O I：

10.1103/PhysRevA.86.013605

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive a set of equations that describes the shape and behavior of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform, a relation for a vortex's velocity, anywhere along the line, is found in terms of the trapping, rotation, and distortion of the line at that location. This relation is then used to find a set of differential equations that give the line's specific shape and motion. This work extends a previous similar derivation by Svidzinsky and Fetter [Phys. Rev. A 62, 063617 (2000)], and enables a comparison with recent numerical results.

引用

页数：11

共 31 条

[21] Bose-Einstein condensates with a bent vortex in rotating traps [J].

Modugno, M ;

Pricoupenko, L ;

Castin, Y .

EUROPEAN PHYSICAL JOURNAL D, 2003, 22 (02) :235-257

[22] MOTION OF VORTEX LINES IN THE GINZBURG-LANDAU MODEL [J].

PISMEN, LM ;

RUBINSTEIN, J .

PHYSICA D-NONLINEAR PHENOMENA, 1991, 47 (03) :353-360

[23]

PITAEVSKII LP, 1961, SOV PHYS JETP-USSR, V13, P451

[24] Dynamics of a single vortex line in a Bose-Einstein condensate [J].

Rosenbusch, P ;

Bretin, V ;

Dalibard, J .

PHYSICAL REVIEW LETTERS, 2002, 89 (20) :200403-200403

[25] VORTEX MOTION IN THE SPATIALLY INHOMOGENEOUS CONSERVATIVE GNZBURG-LANDAU MODEL [J].

RUBINSTEIN, BY ;

PISMEN, LM .

PHYSICA D-NONLINEAR PHENOMENA, 1994, 78 (1-2) :1-10

[26] Vortex waves in trapped Bose-Einstein condensates [J].

Simula, T. P. ;

Mizushima, T. ;

Machida, K. .

PHYSICAL REVIEW A, 2008, 78 (05)

[27] Kelvin waves of quantized vortex lines in trapped Bose-Einstein condensates [J].

Simula, T. P. ;

Mizushima, T. ;

Machida, K. .

PHYSICAL REVIEW LETTERS, 2008, 101 (02)

[28] Stability of a vortex in a trapped Bose-Einstein condensate [J].

Svidzinsky, AA ;

Fetter, AL .

PHYSICAL REVIEW LETTERS, 2000, 84 (26) :5919-5923

[29] Dynamics of a vortex in a trapped Bose-Einstein condensate [J].

Svidzinsky, AA ;

Fetter, AL .

PHYSICAL REVIEW A, 2000, 62 (06) :063617-063611

[30]

Verhulst F., 2005, METHODS APPL SINGULA

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