2015/11/25 by Gerhard Bräunlich, Christian Hainzl, Robert Seiringer
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Ground state #Hartree–Fock method #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Stability (learning theory) #Thermodynamic limit #cond-mat.quant-gas #math-ph #math.MP
paper · pdf · doi:10.1007/s11040-016-9209-x
published as Math. Phys. Anal. Geom. 19, Art. 13 (2016) · 24 pages
arxiv created 2015/11/25 · openalex publication_date 2016/06/01 · openalex created_date 2016/06/24 · arxiv updated 2016/09/29 · openalex updated_date 2026/08/06
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.