title: Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover.
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.
authors.affiliation: Dipartimento di Fisica, Università di Trento and BEC-INFM, I-38050 Povo, Italy.
authors.forename: G E
authors.initials: GE
authors.lastname: Astrakharchik
authors.forename: R
authors.initials: R
authors.lastname: Combescot
authors.forename: X
authors.initials: X
authors.lastname: Leyronas
authors.forename: S
authors.initials: S
authors.lastname: Stringari