Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate
S. Komineasa and N. Papanicolaoub aPhysikalisches Institut, Universitaet Bayreuth,
D-95440 Bayreuth, Germany bDepartment of Physics, University of Crete,
and Research Center of Crete, Heraklion, Greece
Abstract
We present a calculation of a solitary wave propagating along
a cylindrical Bose-Einstein trap, which is found to be a hybrid of
a one-dimensional (1D)
soliton and a three-dimensional (3D) vortex ring. The calculated
energy-momentum dispersion exhibits characteristics similar to those of
a mode proposed sometime ago by Lieb within a 1D model, as well as some
rotonlike features.