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arXiv · 2509.00536

Ground State Energy of Dilute Fermi Gases in 1D

Johannes Agerskov·Robin Reuvers·Jan Philip Solovej
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Abstract

We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behaviour is given in terms of the ground state energy of a spin chain, which is the Heisenberg antiferromagnet in the case of spin-1/2 fermions.

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Johannes Agerskov, Robin Reuvers, Jan Philip Solovej. 2026-04-11. Ground State Energy of Dilute Fermi Gases in 1D. https://arxiv.org/abs/2509.00536

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