Bogoliubov theory for the dilute Fermi gas in three dimensions
Mathematical Physics
2022-07-28 v1 math.MP
Abstract
In a dilute system of N fermions with spin 1/2 in three dimensions, we study the correlation energy which is given by the difference between the ground state energy and the energy of the non-interacting Fermi sea state. We review some recent results from the paper by Falconi et al. [Ann. Henri Poincar\'e 22 (2021), 2283-2353], where we make use of the almost-bosonic nature of the low-energy excitations of the system which can be effectively described by Bogoliubov theory.
Keywords
Cite
@article{arxiv.2207.13618,
title = {Bogoliubov theory for the dilute Fermi gas in three dimensions},
author = {Emanuela L. Giacomelli},
journal= {arXiv preprint arXiv:2207.13618},
year = {2022}
}
Comments
14 pages, contribution to the Proceedings of the Intensive Period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March - May 2022