Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit Journal Article


Author(s): Bräunlich, Gerhard; Hainzl, Christian; Seiringer, Robert
Article Title: Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
Affiliation IST Austria
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.
Keywords: Bose-Einstein condensation; BCS-theory; Bogolubov-Hartree-Fock functional; Gross-Pitaevskii functional; Low density limit; Pairing
Journal Title: Mathematical Physics, Analysis and Geometry
Volume: 19
Issue 2
ISSN: 1572-9656
Publisher: Springer  
Date Published: 2016-06-01
Start Page: Article number: 13
Copyright Statement: CC BY 4.0
Sponsor: Partial financial support from the DFG grant GRK 1838, as well as the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged.
URL:
DOI: 10.1007/s11040-016-9209-x
Open access: yes (OA journal)
IST Austria Authors
  1. Robert Seiringer
    118 Seiringer
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