Equation of State and Collective Frequencies of a Trapped Fermi Gas Along the BEC-Unitarity Crossover
- 14 July 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 95 (3), 030404
- https://doi.org/10.1103/physrevlett.95.030404
Abstract
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 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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