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arXiv · 1511.08047

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

Gerhard Bräunlich·Christian Hainzl·Robert Seiringer
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Abstract

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.

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Gerhard Bräunlich, Christian Hainzl, Robert Seiringer. 2015-11-25. Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit. https://doi.org/10.1007/s11040-016-9209-x

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