Universal Energy Functionals for Trapped Fermi Gases in Low Dimensions
Quantum Gases
2024-02-08 v2
Abstract
We study the system of trapped two-component Fermi gases with zero-range interaction in two dimensions (2D) or one dimension (1D). We calculate the one-particle density matrices of these systems at small displacements, from which we show that the -body energies are linear functionals of the occupation probabilities of single-particle energy eigenstates. A universal energy functional was first derived in 2011 for trapped zero-range interacting two-component Fermi gases in three dimensions (3D). We also calculate the asymptotic behaviors of the occupation probabilities of single-particle energy eigenstates at high energies.
Cite
@article{arxiv.2312.00325,
title = {Universal Energy Functionals for Trapped Fermi Gases in Low Dimensions},
author = {Jiansen Zhang and Shina Tan},
journal= {arXiv preprint arXiv:2312.00325},
year = {2024}
}