Achieving a BCS transition in an atomic Fermi gas

Details Achieving a BCS transition in an atomic Fermi gas Achieving a BCS transition in an atomic Fermi gas

2003-08-15

arxiv.org/abs/cond-mat/0308306v2

Phys. Rev. Lett. 92, 150404 (2004)

Physics

Condensed Matter

Superconductivity

4 pages, 1 figure. Phys. Rev. Lett. in press

Scientific paper

10.1103/PhysRevLett.92.150404

We consider a gas of cold fermionic atoms having two spin components with interactions characterized by their s-wave scattering length $a$. At positive scattering length the atoms form weakly bound bosonic molecules which can be evaporatively cooled to undergo Bose-Einstein condensation, whereas at negative scattering length BCS pairing can take place. It is shown that, by adiabatically tuning the scattering length $a$ from positive to negative values, one may transform the molecular Bose-Einstein condensate into a highly degenerate atomic Fermi gas, with the ratio of temperature to Fermi temperature $T/T_F \sim 10^{-2}$. The corresponding critical final value of $k_{F}|a|$ which leads to the BCS transition is found to be about one half, where $k_F$ is the Fermi momentum.

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