Landau dynamics of a grey soliton in a trapped condensate

被引：111

作者：

Konotop, VV

Pitaevskii, L

机构：

[1] Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal

[2] Univ Trent, Dipartimento Fis, Trento, Italy

[3] Ist Nazl Fis Mat, CRS BEC, I-38050 Trento, Italy

[4] Kapitza Inst Phys Problems, Moscow 119334, Russia

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.93.240403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that grey soliton dynamics in a one-dimensional trap can be treated within the framework of the local density approximation as Landau dynamics of a quasiparticle. A soliton of arbitrary amplitude moves in the trapping potential without deformation of its density profile as a particle of mass 2m. The dynamics in the local density approximation is shown to be consistent with the perturbation theory for dark solitons. Dynamics of a vortex ring in a trap is discussed qualitatively.

引用

页数：4

共 13 条

[1] Propagation of sound in a Bose-Einstein condensate [J].

Andrews, MR ;

Kurn, DM ;

Miesner, HJ ;

Durfee, DS ;

Townsend, CG ;

Inouye, S ;

Ketterle, W .

PHYSICAL REVIEW LETTERS, 1997, 79 (04) :553-556

[2] Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates [J].

Brazhnyi, VA ;

Konotop, VV .

PHYSICAL REVIEW A, 2003, 68 (04) :10

[3] Dark solitons in Bose-Einstein condensates [J].

Burger, S ;

Bongs, K ;

Dettmer, S ;

Ertmer, W ;

Sengstock, K ;

Sanpera, A ;

Shlyapnikov, GV ;

Lewenstein, M .

PHYSICAL REVIEW LETTERS, 1999, 83 (25) :5198-5201

[4] Motion of dark solitons in trapped Bose-Einstein condensates [J].

Busch, T ;

Anglin, JR .

PHYSICAL REVIEW LETTERS, 2000, 84 (11) :2298-2301

[5] Theory of Bose-Einstein condensation in trapped gases [J].

Dalfovo, F ;

Giorgini, S ;

Pitaevskii, LP ;

Stringari, S .

REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512

[6] Generating solitons by phase engineering of a Bose-Einstein condensate [J].

Denschlag, J ;

Simsarian, JE ;

Feder, DL ;

Clark, CW ;

Collins, LA ;

Cubizolles, J ;

Deng, L ;

Hagley, EW ;

Helmerson, K ;

Reinhardt, WP ;

Rolston, SL ;

Schneider, BI ;

Phillips, WD .

SCIENCE, 2000, 287 (5450) :97-101

[7]

Jackson B., 1999, Phys. Rev. A, V61, DOI [10.1103/PhysRevA.61.013604, DOI 10.1103/PHYSREVA.61.013604]

[8] MOTIONS IN A BOSE CONDENSATE .4. AXISYMMETRIC SOLITARY WAVES [J].

JONES, CA ;

ROBERTS, PH .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (08) :2599-2619

[9] DIRECT PERTURBATION-THEORY FOR DARK SOLITONS [J].

KONOTOP, VV ;

VEKSLERCHIK, VE .

PHYSICAL REVIEW E, 1994, 49 (03) :2397-2407

[10]

Landau L.D, 1986, STAT PHYS 1, V3

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