Phys. Rev. Lett. 95, 030404 (2005) [4 pages]Equation of State and Collective Frequencies of a Trapped Fermi Gas Along the BEC-Unitarity CrossoverReceived 24 March 2005; published 14 July 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.030404
DOI:
10.1103/PhysRevLett.95.030404
PACS:
05.30.Fk, 32.80.Pj, 47.37.+q
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