Collective oscillations of a Fermi gas near a Feshbach resonance
arXiv:cond-mat/0508402 · doi:10.1103/PhysRevA.72.063614
Abstract
A sum rule approach is used to calculate the zero temperature oscillation frequencies of a two component trapped atomic Fermi gas in the BCS-Bose Einstein condensation crossover region. These sum rules are evaluated using a local density approximation which explicitly includes Feshbach molecules. Breathing modes show non-monotonic behavior as a function of the interaction strength, while quadrupole modes are insensitive to interactions for both spherically symmetric and axially symmetric traps. Quantitative agreement is found with experiments on atomic system and with other theoretical approaches.
7 pages, 4 figures