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Research PaperResearchia:202602.14048

Momentum Distribution of the Dilute Fermi Gas

Niels Benedikter

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)). --- Source: arXiv:2602.12067v1 - http://arxiv.org/abs/2602.12067v1 PDF: https://arxiv.org/pdf/2602.12067v1 Original Link: http://arxiv.org/abs/2602...

Submitted: February 14, 2026Subjects: Quantum Physics; Quantum Computing

Description / Details

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)).


Source: arXiv:2602.12067v1 - http://arxiv.org/abs/2602.12067v1 PDF: https://arxiv.org/pdf/2602.12067v1 Original Link: http://arxiv.org/abs/2602.12067v1

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Date:
Feb 14, 2026
Topic:
Quantum Computing
Area:
Quantum Physics
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