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

Year: 2005

Authors: Astrakharchik G.E., Combescot R., Leyronas X., Stringari S.

Autors Affiliation: Univ Trent, Dipartimento Fis, I-38050 Trento, Italy, INFM, BEC, I-38050 Trento, Italy, Ecole Normale Super, Coll France, F-75231 Paris, France, Ecole Normale Super, Lab Kastler Brossel, F-75231 Paris, France, Ecole Normale Super, Lab Phys Stat, F-75231 Paris, France

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 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.


Volume: 95 (3)      Pages from: 030404-1  to: 030404-4

More Information: doi: 10.1103/PhysRevLett.95.030404
KeyWords: Ultracold atoms; equation of state; excitations; fermi gas;
DOI: 10.1103/PhysRevLett.95.030404

Citations: 78
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