TY - JOUR
T1 - Universal properties of the ultracold Fermi gas
AU - Zhang, Shizhong
AU - Leggett, Anthony J.
PY - 2009/2/2
Y1 - 2009/2/2
N2 - We present some general considerations on the properties of a two-component ultracold Fermi gas along the BEC-BCS crossover. It is shown that the interaction energy and the free energy can be written in terms of a single dimensionless function h (ξ,τ), where ξ=- (kF as) -1 and τ=TTF. The function h (ξ,τ) incorporates all the many-body physics and naturally occurs in other physical quantities as well. In particular, we show that the average rf-spectroscopy shift δω ̄ (ξ,τ) and the molecular fraction fc (ξ,τ) in the closed channel can be expressed in terms of h (ξ,τ) and thus have identical temperature dependence. The conclusions should have testable consequences in future experiments.
AB - We present some general considerations on the properties of a two-component ultracold Fermi gas along the BEC-BCS crossover. It is shown that the interaction energy and the free energy can be written in terms of a single dimensionless function h (ξ,τ), where ξ=- (kF as) -1 and τ=TTF. The function h (ξ,τ) incorporates all the many-body physics and naturally occurs in other physical quantities as well. In particular, we show that the average rf-spectroscopy shift δω ̄ (ξ,τ) and the molecular fraction fc (ξ,τ) in the closed channel can be expressed in terms of h (ξ,τ) and thus have identical temperature dependence. The conclusions should have testable consequences in future experiments.
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U2 - 10.1103/PhysRevA.79.023601
DO - 10.1103/PhysRevA.79.023601
M3 - Article
AN - SCOPUS:59949085844
SN - 1050-2947
VL - 79
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 2
M1 - 023601
ER -