Session A16: Quantum Fermi Gases and Feshbach Resonances
8:00 AM–11:00 AM, Monday, March 16, 2009
Room: 317
Sponsoring Unit:
DAMOP
Chair: Martin Zwierlein, Massachusetts Institute of Technology
Abstract ID: BAPS.2009.MAR.A16.4
Abstract: A16.00004 : Universal properties of ultracold Fermi gases
8:36 AM–8:48 AM
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Abstract 
Authors:
Shizhong Zhang
(UIUC)
Anthony Leggett
We present some general considerations on the properties of a two-component ultra-cold Fermi gas along the BEC-BCS crossover. It is shown that the interaction energy and the free energy can be written in terms of a single dimensionless function $h({\xi,\tau})$, where $\xi=-(k_Fa_s)^{-1}$ and $\tau=T/T_F$. The function $h(\xi,\tau)$ incorporates all the many-body physics and naturally occurs in other physical quantities as well. In particular, we show that the average rf-spectroscopy shift $\overline{\d\o}(\xi,\tau)$ and the molecular fraction $f_c(\xi,\tau)$ in the closed channel can be expressed in terms of $h(\xi,\tau)$ and thus have identical temperature dependence. The conclusions should have testable consequences in future experiments.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2009.MAR.A16.4