From BCS-theory to the Gross-Pitaevskii equation for the evolution of dilute fermion pairs

From BCS-theory to the Gross-Pitaevskii equation for the evolution of dilute fermion pairs

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Benjamin Schlein , University of Zurich and IAS
Jadwin Hall A06

We consider a system of fermions interacting through a potential admitting a bound state in the low density limit. Assuming the energy to be sufficiently small, we show that particles form pairs, exhibiting Bose-Einstein condensation and evolving according to the time-dependent Gross-Pitaevskii equation.