2 research outputs found
Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover
We show that the study of the collective oscillations in a harmonic trap
provides a very sensitive test of the equation of state of a Fermi gas near a
Feshbach resonance. Using a scaling approach, whose high accuracy is proven by
comparison with exact hydrodynamic solutions, the frequencies of the lowest
compressional modes are calculated at T=0 in terms of a dimensionless parameter
characterizing the equation of state. The predictions for the collective
frequencies, obtained from the equations of state of mean field BCS theory and
of recent Monte-Carlo calculations, are discussed in detail.Comment: 4 pages, 3 figure
Hydrodynamic Modes in a Trapped Strongly Interacting Fermi Gases of Atoms
The zero-temperature properties of a dilute two-component Fermi gas in the
BCS-BEC crossover are investigated. On the basis of a generalization of the
variational Schwinger method, we construct approximate semi-analytical formulae
for collective frequencies of the radial and the axial breathing modes of the
Fermi gas under harmonic confinement in the framework of the hydrodynamic
theory. It is shown that the method gives nearly exact solutions.Comment: 11 page