Ground State Energy of Dilute Fermi Gases in 1D

Published 30 Aug 2025 in math-ph, cond-mat.quant-gas, and math.MP | (2509.00536v1)

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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