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Physica B Condensed Matter

Equation of state from hydrodynamic modes in dense trapped ultracold gases

X. Leyronas, R. Combescot

Published May 1, 2003• 0 citations
Publisher
DOI
10.1016/s0921-4526(02)01881-1

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A method is developed to calculate all excitations of trapped gases using hydrodynamics at zero temperature for any equation of state $\ensuremath{\mu}=\ensuremath{\mu}(n)$ and for any trapping potential. It is shown that a natural scalar product can be defined for the mode functions, by which the wave operator is Hermitian and the mode functions are orthogonal. It is also shown that the Kohn modes are exact for harmonic trapping in the hydrodynamic theory. Excitations for fermions are calculated in the Bardeen-Cooper-Schrieffer--Bose-Einstein condensation transition region using the equation of state of the mean-field Leggett model for isotropic harmonic trap potential.