Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics

被引：28
作者：
Kamchatnov, A. M. [1 ]
Korneev, S. V. [1 ]
机构：
[1] Russian Acad Sci, Inst Spect, Troitsk 142190, Moscow Region, Russia
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 45期
关键词：
Dark ring soliton; Bose-Einstein condensate; Nonlinear optics;
D O I：
10.1016/j.physleta.2010.09.019
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear term in the generalized nonlinear Schrodinger or Gross-Pitaevskii equation. Analytical theory is illustrated by examples of dynamics of ring solitons in light beams propagating through a photorefractive medium and in non-uniform condensates confined in axially symmetric traps. Analytical results agree very well with the results of our numerical simulations. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：4625 / 4628
页数：4
相关论文
共 13 条
  • [1] Dark solitons as quasiparticles in trapped condensates
    Brazhnyi, V. A.
    Konotop, V. V.
    Pitaevskii, L. P.
    [J]. PHYSICAL REVIEW A, 2006, 73 (05):
  • [2] Motion of dark solitons in trapped Bose-Einstein condensates
    Busch, T
    Anglin, JR
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (11) : 2298 - 2301
  • [3] Ring dark solitary waves: Experiment versus theory
    Dreischuh, A
    Neshev, D
    Paulus, GG
    Grasbon, F
    Walther, H
    [J]. PHYSICAL REVIEW E, 2002, 66 (06): : 7 - 066611
  • [4] Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
    Frantzeskakis, D. J.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (21)
  • [5] Dark soliton oscillations in Bose-Einstein condensates with multi-body interactions
    Kamchatnov, Anatoly M.
    Salerno, Mario
    [J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2009, 42 (18)
  • [6] Dark optical solitons: physics and applications
    Kivshar, YS
    Luther-Davies, B
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 298 (2-3): : 81 - 197
  • [7] LAGRANGIAN APPROACH FOR DARK SOLITONS
    KIVSHAR, YS
    KROLIKOWSKI, W
    [J]. OPTICS COMMUNICATIONS, 1995, 114 (3-4) : 353 - 362
  • [8] RING DARK SOLITONS
    KIVSHAR, YS
    YANG, XP
    [J]. PHYSICAL REVIEW E, 1994, 50 (01): : R40 - R43
  • [9] Landau dynamics of a grey soliton in a trapped condensate
    Konotop, VV
    Pitaevskii, L
    [J]. PHYSICAL REVIEW LETTERS, 2004, 93 (24)
  • [10] KUZNETSOV EA, 1988, ZH EKSP TEOR FIZ+, V94, P119
12