Gradient corrections to the local-density approximation for trapped superfluid Fermi gases

A. Csordás, Orsolya Almásy, P. Szépfalusy

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Two species superfluid Fermi gas is investigated on the BCS side up to the Feshbach resonance. Using the Greens's function technique gradient corrections are calculated to the generalized Thomas-Fermi theory including Cooper pairing. Their relative magnitude is found to be measured by the small parameter (d/RTF)4, where d is the oscillator length of the trap potential and RTF is the radial extension of the density n in the Thomas-Fermi approximation. In particular, at the Feshbach resonance the universal corrections to the local density approximation are calculated and a universal prefactor κW=7/27 is derived for the von Weizsäcker-type correction κW(2/2m)(2n1 2/n1 2).

Original languageEnglish
Article number063609
JournalPhysical Review A
Volume82
Issue number6
DOIs
Publication statusPublished - Dec 8 2010

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gradients
approximation
gases
Thomas-Fermi model
Green's functions
oscillators
traps

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Gradient corrections to the local-density approximation for trapped superfluid Fermi gases. / Csordás, A.; Almásy, Orsolya; Szépfalusy, P.

In: Physical Review A, Vol. 82, No. 6, 063609, 08.12.2010.

Research output: Contribution to journalArticle

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