Universal properties of the ultracold Fermi gas

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Shizhong Zhang and Anthony J. Leggett
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA

See accompanying Viewpoint commentary Physics 2, 9 (2009)

Received 10 September 2008; revised 18 November 2008; published 2 February 2009

Wepresent some general considerations on the properties of a two-componentultracold Fermi gas along the BEC-BCS crossover. It is shownthat the interaction energy and the free energy can bewritten in terms of a single dimensionless function h(, tau ), where=−(k_Fa_s)⁻¹ and tau =T/T_F. The function h(, tau ) incorporates all the many-bodyphysics and naturally occurs in other physical quantities as well.In particular, we show that the average rf-spectroscopy shift [overline delta omega ] (, tau )and the molecular fraction f_c(, tau ) in the closed channel canbe expressed in terms of h(, tau ) and thus have identicaltemperature dependence. The conclusions should have testable consequences in futureexperiments.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.79.023601
DOI:	10.1103/PhysRevA.79.023601
PACS:	03.75.Ss; 03.75.Hh; 74.20.Fg 03.75.Ss Degenerate Fermi gases 03.75.Hh Static properties of Bose-Einstein condensates 74.20.Fg BCS theory of superconductivity and its development YEAR: 2009
KEYWORDS:	Bose-Einstein condensation, fermion systems, free energy, lithium, spectral line shift

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