Renormalized atomic interaction and quadrupole excitations of cold Fermi gas near Feshbach resonance

Details Renormalized atomic interaction and quadrupole excitations of cold Fermi gas near Feshbach resonance Renormalized atomic interaction and quadrupole excitations of cold Fermi gas near Feshbach resonance

2006-09-12

arxiv.org/abs/cond-mat/0609290v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures

Scientific paper

We present a model space particle-hole Green's function calculation for the quadrupole excitations of cold Fermi gas near Feshbach resonance using a simple model where atoms are confined in a harmonic oscillator potential. Both the Tamm-Dancoff and random phase approximations are employed. By summing up exactly the ladder diagrams between a pair of interacting atoms to all orders, we obtain a renormalized atomic interaction which has well defined and identical limits as the scattering length tends to $\pm \infty$. The experimentally observed abrupt rise in the excitation spectrum and its associated large decay width are satisfactorily reproduced by our calculation.

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