Collective excitations of trapped Fermi or Bose gases

Abstract

A new method is developed to calculate all excitations of trapped gases using hydrodynamics at zero temperature for any equation of state $\mu =\mu (n)$ 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 hydrodynamic theory. Excitations for fermions are calculated in the BCS-BEC transition region using the equation of state of the mean-field Leggett-model for isotrop harmonic trap potential.

arXiv comment4 pages, 3 figures

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Cited by in corpus (2)

• Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover
• Use of two-body correlated basis functions with van der Waals interaction to study the shape-independent approximation for a large number of trapped interacting bosons