Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap

Details Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap

2007-11-27

arxiv.org/abs/0711.4390v2

Phys. Rev. A 78, 023601 (2008)

Physics

Condensed Matter

Statistical Mechanics

9 pages and 8 figures; Published version in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.78.023601

We investigate the finite temperature properties of an ultracold atomic Fermi gas with spin population imbalance in a highly elongated harmonic trap. Previous studies at zero temperature showed that the gas stays in an exotic spatially inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluid state at the trap center; while moving to the edge, the system changes into either a non-polarized Bardeen-Cooper-Schriffer superfluid ($PP_c$), depending on the smallness of the spin polarization $P$, relative to a critical value $P_c$. In this work, we show how these two phase-separation phases evolve with increasing temperature, and thereby construct a finite temperature phase diagram. For typical interactions, we find that the exotic FFLO phase survives below one-tenth of Fermi degeneracy temperature, which seems to be accessible in the current experiment. The density profile, equation of state, and specific heat of the polarized system have been calculated and discussed in detail. Our results are useful for the on-going experiment at Rice University on the search for FFLO states in quasi-one-dimensional polarized Fermi gases.

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