Landau dynamics of a grey soliton in a trapped condensate

Details Landau dynamics of a grey soliton in a trapped condensate Landau dynamics of a grey soliton in a trapped condensate

2004-08-30

arxiv.org/abs/cond-mat/0408660v1

Physics

Condensed Matter

Statistical Mechanics

REVTEX, 4 pages, submitted

Scientific paper

10.1103/PhysRevLett.93.240403

It is shown that grey soliton dynamics in an one-dimensional trap can be treated as Landau dynamics of a quasi-particle. 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.

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