Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover

Details Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover

2005-03-25

arxiv.org/abs/cond-mat/0503618v1

Phys. Rev. Lett. 95, 030404 (2005)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.95.030404

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.

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