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

Bräunlich, Gerhard and Hainzl, Christian and Seiringer, Robert (2016) Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics Analysis and Geometry, 19 (2). Article number: 13 . ISSN 1572-9656

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Official URL: http://dx.doi.org/10.1007/s11040-016-9209-x

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.

Item Type: Article
DOI: 10.1007/s11040-016-9209-x
Uncontrolled Keywords: Bose-Einstein condensation, BCS-theory, Bogolubov-Hartree-Fock functional, Gross-Pitaevskii functional, Low density limit, Pairing
Subjects: 500 Science > 510 Mathematics
500 Science > 530 Physics > 539 Modern physics
Research Group: Seiringer Group
SWORD Depositor: Sword Import User
Depositing User: Sword Import User
Date Deposited: 06 Dec 2016 08:57
Last Modified: 30 Aug 2017 14:31
URI: https://repository.ist.ac.at/id/eprint/702

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