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Quantum State Preparation Representation

Momentum Distribution of the Dilute Fermi Gas

arXiv
Authors: Niels Benedikter, Emanuela L. Giacomelli, Asbjørn Bækgaard Lauritsen, Sascha Lill

Year

2026

Paper ID

69

Status

Preprint

Abstract Read

~2 min

Abstract Words

52

Citations

N/A

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)).

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  • This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
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  • We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit.

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