Issue
EPL
Volume 83, Number 1, July 2008
Article Number 16003
Number of page(s) 5
Section Condensed Matter: Structural, Mechanical and Thermal Properties
DOI http://dx.doi.org/10.1209/0295-5075/83/16003
Published online 12 June 2008
EPL, 83 (2008) 16003
DOI: 10.1209/0295-5075/83/16003

Molecular production at a broad Feshbach resonance in a Fermi gas of cooled atoms

Deqiang Sun, Ar. Abanov and V. L. Pokrovsky

Department of Physics, MS 4242, Texas A&M University - College Station, TX 77843-4242, USA

abanov@tamu.edu

received 26 February 2008; accepted in final form 20 May 2008; published July 2008
published online 12 June 2008

Abstract
The problem of molecular production from a degenerate gas of fermions at a broad Feshbach resonance, in a single-mode approximation, is reduced to the linear Landau-Zener problem for operators. The strong interaction and induced coherence lead to significant renormalization of the gap between adiabatic levels. The essential region of energies near the resonance contributing to the atom-molecule transformation strongly exceeds the Fermi energy of the weakly interacting gas. The close vicinity of the exact resonance does not play as substantial a role as in the static problem. Our main results are: i) The molecular production is sensitive to the initial magnetic field. ii) In the inverse process of molecule dissociation a large BCS condensate distributed over a broad range of momenta is generated.

PACS
67.85.-d - Ultracold gases, trapped gases.

© EPLA 2008