Finite temperature phase diagram of trapped Fermi gases with population imbalance

Abstract

We consider a trapped Fermi gas with population imbalance at finite temperatures and map out the detailed phase diagram across a wide Feshbach resonance. We take the Larkin-Ovchinnikov-Fulde-Ferrel (LOFF) state into consideration and minimize the thermodynamical potential to ensure stability. Under the local density approximation, we conclude that a stable LOFF state is present only on the BCS side of the Feshbach resonance, but not on the BEC side or at unitarity. Furthermore, even on the BCS side, a LOFF state is restricted at low temperatures and in a small region of the trap, which makes a direct observation of LOFF state a challenging task.

arXiv comment9 pages, 7 figures

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Cited by in corpus (18)

• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Superfluidity at the BEC-BCS crossover in two-dimensional Fermi gases with population and mass imbalance
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases
• Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in three and two dimensions
• Phase separation in imbalanced fermion superfluids beyond mean-field
• Resonant enhancement of the FFLO-state in 3D by a one-dimensional optical potential
• Controlling the pair momentum of the FFLO state in a 3D Fermi gas through a 1D periodic potential
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Phase diagrams of Fermi gases in a trap with mass and population imbalances at finite temperature
• Temperature Effects in a Fermi Gas with Population Imbalance
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Polarized Fermi gases in asymmetric optical lattices
• BCS-BEC Crossover in Mix-dimensional Fermi Gases
• Do phase fluctuations influence the Fulde-Ferrell-Larkin-Ovchinnikov state in a 3D Fermi gas?
• Pair condensation of polarized fermions in the BCS-BEC crossover
• Trap and population imbalanced two-component Fermi gas in the BEC limit
• Phase diagram for the trapped p-wave fermionic superfluid with population imbalance