Bosonization of Fermi gases
Abstract
We review the bosonization method for Fermi gases, initiated by Sawada, Bohm–Pines, and Gell-Mann–Brueckner in the 1950s, and present recent rigorous results that justify this approach in the mean-field regime with regular and Coulomb interactions, as well as in the low-density regime leading to the Huang–Yang formula. We also discuss some open questions on related topics.
Fields of Study & Subjects
Cold Atom Physics and Bose-Einstein Condensates
Spectral Theory in Mathematical Physics
Quantum many-body systems
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 3
- Publication date
- 1 March 2026
- Language
- EN