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arXiv · 2207.13618

Bogoliubov theory for the dilute Fermi gas in three dimensions

Emanuela L. Giacomelli
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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.

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Emanuela L. Giacomelli. 2022-07-27. Bogoliubov theory for the dilute Fermi gas in three dimensions. https://arxiv.org/abs/2207.13618

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