Momentum Distribution of the Dilute Fermi Gas

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