A self-consistent theory of atomic Fermi gases with a Feshbach resonance at the superfluid transition

dc.creatorLiu, Xia-Ji
dc.creatorHu, Hui
dc.date2005-05-24
dc.date2005-08-13
dc.date.accessioned2026-07-07T12:37:42Z
dc.date.available2026-07-07T12:37:42Z
dc.descriptionA self-consistent theory is derived to describe the BCS-BEC crossover for a strongly interacting Fermi gas with a Feshbach resonance. In the theory the fluctuation of the dressed molecules, consisting of both preformed Cooper-pairs and ``bare'' Feshbach molecules, has been included within a self-consistent $T$-matrix approximation, beyond the Nozières and Schmitt-Rink strategy considered by Ohashi and Griffin. The resulting self-consistent equations are solved numerically to investigate the normal state properties of the crossover at various resonance widths. It is found that the superfluid transition temperature $T_c$ increases monotonically at all widths as the effective interaction between atoms becomes more attractive. Furthermore, a residue factor $Z_m$ of the molecule's Green function and a complex effective mass have been determined, to characterize the fraction and lifetime of Feshbach molecules at $T_c$. Our many-body calculations of $Z_m$ agree qualitatively well with the recent measurments on the gas of $^6$Li atoms near the broad resonance at 834 Gauss. The crossover from narrow to broad resonances has also been studied.
dc.description6 papes, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0505572
dc.identifierhttp://arxiv.org/abs/cond-mat/0505572
dc.identifierPhys.Rev.A72:063613,2005
dc.identifierdoi:10.1103/PhysRevA.72.063613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218529
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleA self-consistent theory of atomic Fermi gases with a Feshbach resonance at the superfluid transition
dc.typetext

Files

Collections