Work

Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

Year: 2023

Type: article

Abstract: Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only $$|\cdot | \hat{V} \in \ell ^1 (\mathbb {Z}^3)$$ |·|V^∈ℓ1(Z3) . Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy.

Source: Archive for Rational Mechanics and Analysis

DOI: 10.1007/s00205-023-01893-6

Authors: Niels Benedikter, Marcello Porta, Benjamin Schlein, Robert Seiringer

Institutions: University of Milan, Scuola Internazionale Superiore di Studi Avanzati, University of Zurich, Institute of Science and Technology Austria

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,790