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

Journal Article · Wed Oct 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.043617· OSTI ID:20640380

Komineas, S ^[1]; Papanicolaou, N ^[2]

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

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.

• OSTI ID: 20640380
• Journal Information: Physical Review. A, Vol. 68, Issue 4; Other Information: DOI: 10.1103/PhysRevA.68.043617; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION SPECTRA
AXIAL SYMMETRY
BIFURCATION
BOSE-EINSTEIN CONDENSATION
CYLINDRICAL CONFIGURATION
DENSITY
EXCITATION
INSTABILITY
ONE-DIMENSIONAL CALCULATIONS
SOLITONS
THREE-DIMENSIONAL CALCULATIONS
TRAPS
VELOCITY
VORTICES