Momentum Distribution of the Dilute Fermi Gas
Niels Benedikter, Emanuela L. Giacomelli, Asbj{\o}rn B{\ae}kgaard Lauritsen, Sascha Lill
TL;DR
This paper rigorously derives the momentum distribution of a dilute spin-1/2 Fermi gas, confirming the formal perturbative predictions and advancing the mathematical understanding of quantum many-body systems.
Contribution
It provides a rigorous derivation of the momentum distribution for a dilute Fermi gas, validating previous perturbative results.
Findings
Momentum distribution matches perturbative predictions
Results are consistent with Huang--Yang formula
Advances mathematical understanding of dilute Fermi gases
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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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Cold Atom Physics and Bose-Einstein Condensates · Spectral Theory in Mathematical Physics