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Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit

We consider the Bogolubov-Hartree-Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose-Einstein condensate of fermion pairs. The latter can be described by means of the Gross-Pitaevskii energy functional.

preprint2015arXivOpen access
Gerhard BräunlichChristian HainzlRobert Seiringer
math-phmath.MPcond-mat.quant-gas
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Gerhard BräunlichChristian HainzlRobert Seiringer

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