Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs

Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs

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Christian Hainzl, University of Tuebingen
Jadwin Hall A06

We consider the low density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs. This is joint work with Robert Seiringer.