Why only half of the fermionic atoms were converted to molecules by a Feshbach resonance?

Details Why only half of the fermionic atoms were converted to molecules by a Feshbach resonance? Why only half of the fermionic atoms were converted to molecules by a Feshbach resonance?

2003-08-24

arxiv.org/abs/cond-mat/0308474v1

Physics

Condensed Matter

Statistical Mechanics

4 pages + 2 figures

Scientific paper

In some recent experiments an ultracold gas of $^{40}$K$_2$ (or $^{6}$Li$_2$) molecules has been produced from a degenerate two-component Fermi gas of $^{40}$K (or $^{6}$Li) atoms by adiabatic passage through a Feshbach resonance. The maximum atom-molecule transfer efficiency is reported to be about 50%. We propose a simple microscopic model to characterize the ground state of the gas in the vicinity of the resonance, and show that the term describing the atom-molecule coupling is responsible for the observed efficiency 50%. Our result also suggests that the experiments have produced a molecular condensate.

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