---
res:
  bibo_abstract:
  - We consider a dilute, homogeneous Bose gas at positive temperature. The system
    is investigated in the Gross–Pitaevskii limit, where the scattering length a is
    so small that the interaction energy is of the same order of magnitude as the
    spectral gap of the Laplacian, and for temperatures that are comparable to the
    critical temperature of the ideal gas. We show that the difference between the
    specific free energy of the interacting system and the one of the ideal gas is
    to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system
    and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show
    that the one-particle density matrix of any approximate minimizer of the Gibbs
    free energy functional is to leading order given by the one of the ideal gas.
    This in particular proves Bose–Einstein condensation with critical temperature
    given by the one of the ideal gas to leading order. One key ingredient of our
    proof is a novel use of the Gibbs variational principle that goes hand in hand
    with the c-number substitution.@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
    orcid: 0000-0002-6781-0521
  bibo_doi: 10.1007/s00205-020-01489-4
  bibo_issue: '6'
  bibo_volume: 236
  dct_date: 2020^xs_gYear
  dct_identifier:
  - UT:000519415000001
  dct_isPartOf:
  - http://id.crossref.org/issn/0003-9527
  - http://id.crossref.org/issn/1432-0673
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature@
...