---
res:
bibo_abstract:
- 'We consider an interacting, dilute Bose gas trapped in a harmonic potential at
a positive temperature. The system is analyzed in a combination of a thermodynamic
and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature
T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering
length is so small that the interaction energy per particle around the center
of the trap is of the same order of magnitude as the spectral gap in the trap.
We prove that the difference between the canonical free energy of the interacting
gas and the one of the noninteracting system can be obtained by minimizing the
GP energy functional. We also prove Bose–Einstein condensation in the following
sense: The one-particle density matrix of any approximate minimizer of the canonical
free energy functional is to leading order given by that of the noninteracting
gas but with the free condensate wavefunction replaced by the GP minimizer.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Andreas
foaf_name: Deuchert, Andreas
foaf_surname: Deuchert
foaf_workInfoHomepage: http://www.librecat.org/personId=4DA65CD0-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0003-3146-6746
- foaf_Person:
foaf_givenName: Robert
foaf_name: Seiringer, Robert
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Jakob
foaf_name: Yngvason, Jakob
foaf_surname: Yngvason
bibo_doi: 10.1007/s00220-018-3239-0
bibo_issue: '2'
bibo_volume: 368
dct_date: 2019^xs_gYear
dct_language: eng
dct_publisher: Springer@
dct_title: Bose–Einstein condensation in a dilute, trapped gas at positive temperature@
...