Fermionic density functional at a Feshbach resonance

Seidl, Michael and Bhaduri, Rajat K. (2007) Fermionic density functional at a Feshbach resonance. PHYSICAL REVIEW A, 75 (5): 052509. ISSN 1050-2947,

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Abstract

We consider a dilute gas of neutral unpolarized fermionic atoms at zero temperature. The atoms interact via a short-range (tunable) attractive interaction. We demonstrate analytically a curious property of the gas at unitarity. Namely, the correlation energy of the gas, evaluated by second-order perturbation theory, has the same density dependence as the first-order exchange energy, and the two almost exactly cancel each other at a Feshbach resonance irrespective of the shape of the potential, provided (mu rs) >> 1. Here (mu)(-1) is the range of the two-body potential, and rs is defined through the number density, n=3/ (4 pi r(s)(3)). The implications of this result for universality are discussed.

Item Type: Article
Uncontrolled Keywords: GAS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2020 09:39
Last Modified: 14 Dec 2020 09:39
URI: https://pred.uni-regensburg.de/id/eprint/32856

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