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Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate

S. Komineas·N. Papanicolaou
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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.

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S. Komineas, N. Papanicolaou. 2002-02-11. Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate. https://doi.org/10.1103/physrevlett.89.070402

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