Continuum Theory of Tkachenko Modes in Rotating Bose-Einstein Condensate

Details Continuum Theory of Tkachenko Modes in Rotating Bose-Einstein Condensate Continuum Theory of Tkachenko Modes in Rotating Bose-Einstein Condensate

2004-05-20

arxiv.org/abs/cond-mat/0405474v2

Phys. Rev. A 71, 011603(R) (2005)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 1 figure, comparison with experiment (figure) and some references were added

Scientific paper

10.1103/PhysRevA.71.011603

The present paper suggests the continuum theory of Tkachenko modes in a rotating 2D Bose-Einstein condensate taking into account density inhomogeneity and compressibility of the condensate. The problem requires solution of coupled hydrodynamic equations for vortex and liquid motion with proper boundary conditions, which were derived for the condensate described by the Thomas-Fermi approximation. Compressibility becomes essential at rapid rotation with angular velocity close to the trap frequency. The theory is in a reasonable agreement with experimental observation of Tkachenko modes.

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