Gross–Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature

@article{Deuchert2020GrossPitaevskiiLO,
  title={Gross–Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature},
  author={Andreas Deuchert and Robert Seiringer},
  journal={Archive for Rational Mechanics and Analysis},
  year={2020},
  volume={236},
  pages={1217-1271}
}
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… 
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