Low lying twisting and acoustic modes of a rotating Bose-Einstein condensate

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.73.041604

We present a calculation of the low lying spectrum of a rotating Bose-Einstein condensate. We show that in a cylindrical geometry, there exist two linear branches, one associated to usual acoustic excitation, the other corresponding to a twisting mode of the vortex lattice. Using a hydrodynamical approach we derive the elasticity coefficient of the vortex lattice and calculate the spectrum of condensate in a three dimensionnal harmonic trap with cylindrical symmetry.

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