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Pré-Publication, Document De Travail Année : 2006

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

Frédéric Chevy
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Résumé

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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Dates et versions

hal-00014252 , version 1 (22-11-2005)
hal-00014252 , version 2 (10-02-2006)

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Frédéric Chevy. Low lying twisting and acoustic modes of a rotating Bose-Einstein condensate. 2006. ⟨hal-00014252v2⟩
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