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Momentum Distribution of the Dilute Fermi Gas
Niels Benedikter, Emanuela L. Giacomelli, Asbjørn Bækgaard Lauritsen, Sascha Lill·February 12, 2026
Mathematical Physicscond-mat.quant-gasQuantum Physics
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Abstract
We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy up to the precision of the Huang--Yang formula, we rigorously derive its momentum distribution. Our result agrees with the formal perturbative argument of Belyakov (Sov. Phys. JETP 13: 850--851 (1961)).