Mean-Field Thermodynamics Of A Spin-Polarized Spherically Trapped Fermi Gas At Unitarity

Liu, Xia-Ji, Hu, Hui and Drummond, Peter D. (2007) Mean-Field Thermodynamics Of A Spin-Polarized Spherically Trapped Fermi Gas At Unitarity. Physical Review A, 75 2: 023614-1-023614-13. doi:10.1103/PhysRevA.75.023614

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Author Liu, Xia-Ji
Hu, Hui
Drummond, Peter D.
Title Mean-Field Thermodynamics Of A Spin-Polarized Spherically Trapped Fermi Gas At Unitarity
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2007-02-16
Sub-type Article (original research)
DOI 10.1103/PhysRevA.75.023614
Open Access Status File (Publisher version)
Volume 75
Issue 2
Start page 023614-1
End page 023614-13
Total pages 13
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2008
Language eng
Abstract We calculate the mean-field thermodynamics of a spherically trapped Fermi gas with unequal spin populations in the unitarity limit, comparing results from the Bogoliubov–de Gennes equations and the local density approximation. We follow the usual mean-field decoupling in deriving the Bogoliubov–de Gennes equations and set up an efficient and accurate method for solving these equations. In the local density approximation we consider locally homogeneous solutions, with a slowly varying order parameter. With a large particle number these two approximation schemes give rise to essentially the same results for various thermodynamic quantities, including the density profiles. This excellent agreement strongly indicates that the small oscillation of order parameters near the edge of trap, sometimes interpreted as spatially inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov states in previous studies of Bogoliubov–de Gennes equations, is a finite-size effect. We find that a bimodal structure emerges in the density profile of the minority-spin state at finite temperature, as observed in experiments. The superfluid transition temperature as a function of the population imbalance is determined and is shown to be consistent with recent experimental measurements. The temperature dependence of the equation of state is discussed.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Q-Index Code C1
Q-Index Status Confirmed Code

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Created: Tue, 06 May 2008, 10:59:25 EST by Stephanie Golding on behalf of School of Mathematics & Physics