Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate

S. Komineas and N. Papanicolaou
Phys. Rev. A 68, 043617 – Published 14 October 2003
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Abstract

Quasi-one-dimensional solitons that may occur in an elongated Bose-Einstein condensate become unstable at high particle density. We study two basic modes of instability and the corresponding bifurcations to genuinely three-dimensional solitary waves such as axisymmetric vortex rings and nonaxisymmetric solitonic vortices. We calculate the profiles of the above structures and examine their dependence on the velocity of propagation along a cylindrical trap. At sufficiently high velocity, both the vortex ring and the solitonic vortex transform into an axisymmetric soliton. We also calculate the energy-momentum dispersions and show that a Lieb-type mode appears in the excitation spectrum for all particle densities.

  • Received 16 April 2003

DOI:https://doi.org/10.1103/PhysRevA.68.043617

©2003 American Physical Society

Authors & Affiliations

S. Komineas1 and N. Papanicolaou2

  • 1Theory of Condensed Matter Group, Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom
  • 2Department of Physics, University of Crete, and Research Center of Crete, Heraklion, Greece

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Vol. 68, Iss. 4 — October 2003

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