Equation of State and Collective Frequencies of a Trapped Fermi Gas Along the BEC-Unitarity Crossover

Journal Article · Fri Jul 15 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.95.030404· OSTI ID:20696441

Astrakharchik, G E ^[1]; Combescot, R; Leyronas, X ^[2]; Stringari, S ^[1]

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1. Dipartimento di Fisica, Universita di Trento and BEC-INFM, I-38050 Povo (Italy)
2. Laboratoire de Physique Statistique, Ecole Normale Superieure, 24 rue Lhomond, 75231 Paris Cedex 05 (France)

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.

• OSTI ID: 20696441
• Journal Information: Physical Review Letters, Vol. 95, Issue 3; Other Information: DOI: 10.1103/PhysRevLett.95.030404; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
BCS THEORY
BOSE-EINSTEIN CONDENSATION
COLLECTIVE EXCITATIONS
COMPARATIVE EVALUATIONS
EQUATIONS OF STATE
EXACT SOLUTIONS
FERMI GAS
FORECASTING
MEAN-FIELD THEORY
MONTE CARLO METHOD
OSCILLATIONS
RESONANCE
TRAPPING
TRAPS
UNITARITY