Vortex nucleation in a dissipative variant of the nonlinear Schrodinger equation under rotation

PHYSICA D-NONLINEAR PHENOMENA

卷:317

Article

Carretero-Gonzalez, R.^1,2,3  Kevrekidis, P. G.^4,5,6  Kolokolnikov, T.⁷ 

[1] San Diego State Univ, Nonlinear Dynam Syst Grp, San Diego, CA 92182 USA

[2] San Diego State Univ, Computat Sci Res Ctr, San Diego, CA 92182 USA

[3] San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA

[4] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[5] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87544 USA

[6] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87544 USA

[7] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

关键词: Vortex nucleation;    Nonlinear Schrodinger equation;    Gross-Pitaevskii equation;    Bose-Einstein condensates;   

DOI  :  10.1016/j.physd.2015.11.009

来源: Elsevier

【 摘 要 】

In the present work, we motivate and explore the dynamics of a dissipative variant of the nonlinear Schrodinger equation under the impact of external rotation. As in the well established Hamiltonian case, the rotation gives rise to the formation of vortices. We show, however, that the most unstable mode leading to this instability scales with an appropriate power of the chemical potential of the system, increasing proportionally to mu(2/3). The precise form of the relevant formula, obtained through our asymptotic analysis, provides the most unstable mode as a function of the atomic density and the trap strength. We show how these unstable modes typically nucleate a large number of vortices in the periphery of the atomic cloud. However, through a pattern selection mechanism, prompted by symmetry breaking, only few isolated vortices are pulled in sequentially from the periphery towards the bulk of the cloud resulting in highly symmetric stable vortex configurations with far fewer vortices than the original unstable mode. These results may be of relevance to the experimentally tractable realm of finite temperature atomic condensates. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free