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- Title
Hamilton's equations of motion of a vortex filament in the rotating Bose-Einstein condensate and their 'soliton' solutions.
- Authors
Ruban, V.
- Abstract
The equation of motion of a quantized vortex filament in a trapped Bose-Einstein condensate [A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A 62, 063617 (2000)] has been generalized to the case of an arbitrary anharmonic anisotropic rotating trap and presented in the variational form. For condensate density profiles of the form ρ = f( x + y + ReΨ( x + iy)) in the presence of the plane of symmetry y = 0, the solutions x( z) describing stationary vortices of U and S types coming to the surface and solitary waves have been found in quadratures. Analogous three-dimensional configurations of the vortex filament uniformly moving along the z axis have also been found in strictly cylindrical geometry. The dependence of solutions on the form of the function f( q) has been analyzed.
- Subjects
HAMILTON'S equations; EQUATIONS of motion; BOSE-Einstein condensation; SOLITONS; ANHARMONIC motion
- Publication
JETP Letters, 2016, Vol 103, Issue 12, p780
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364016120109