The Free Energy of Dilute Bose Gases at Low Temperatures Interacting Via Strong Potentials
Abstract We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee–Huang–Yang on the excitation spectrum of the system. Combining techniques of Fournais and Solovej (Invent Math 232(2):863–994, 2023) and Haberberger et al. (The free energy of dilute Bose gases at low temperatures, 2023), we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential.
Authors
- Mauro Olivieri (ORCID: https://orcid.org/0000-0002-0214-9904)
- Søren Fournais (ORCID: https://orcid.org/0000-0002-6130-5073)
- Arnaud Triay (ORCID: https://orcid.org/0000-0001-5386-461X)
- T. Girardot
- L. Morin
- L. Junge
Institutions
- University of Copenhagen (DK)
- LMU Klinikum (DE)
- Gran Sasso Science Institute (IT)
- Ludwig-Maximilians-Universität München (DE)
- Universitat Politècnica de Catalunya (ES)
Publication Details
- Journal
- Annales Henri Poincaré
- Published
- 2026-03-09
- DOI
- https://doi.org/10.1007/s00023-026-01676-1
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Deutsche Forschungsgemeinschaft
- Gran Sasso Science Institute