Finite temperature phase diagram of a polarised Fermi condensate

Abstract

The two-component Fermi gas is the simplest fermion system displaying superfluidity, and as such finds applications ranging from the theory of superconductivity to QCD. Ultracold atomic gases provide an exceptionally clean realization of this system, where the interatomic interaction and the atom species population are both independent, tuneable parameters. This allows one to investigate the Fermi gas with imbalanced spin populations, which had previously been experimentally elusive, and this prospect has stimulated much theoretical activity. Here we show that the finite temperature phase diagram contains a region of phase separation between the superfluid and normal states that touches the boundary of second-order superfluid transitions at a tricritical point, reminiscent of the phase diagram of ${}^3$He-${}^4$He mixtures. A variation of interaction strength then results in a line of tricritical points that terminates at zero temperature on the molecular Bose-Einstein condensate (BEC) side. On this basis, we argue that tricritical points will play an important role in the recent experiments on polarised atomic Fermi gases.

6 pages, 4 figures. Manuscript extended and figures modified. For final version, see Nature Physics

References in corpus (22)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Strongly interacting Fermi gases with density imbalance
• Phase diagram of a cold polarized Fermi gas
• Mean field phase diagrams of imbalanced Fermi gases near a Feshbach resonance
• Two-species fermion mixtures with population imbalance
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Profiles of near-resonant population-imbalanced trapped Fermi gases
• Trapped fermions with density imbalance in the BEC limit
• Sarma Phase in Trapped Unbalanced Fermi Gases
• Trapped Fermions across a Feshbach resonance with population imbalance
• Surface Tension in Unitary Fermi Gases with Population Imbalance
• Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations
• Intermediate temperature superfluidity in an atomic Fermi gas with population imbalance
• BCS-BEC crossover in an asymmetric two-component Fermi gas
• Evaluating the phase diagram of superconductors with asymmetric spin populations
• Detecting the breached pair phase in a polarized ultracold Fermi gas
• Ultracold polarized Fermi gas at intermediate temperatures
• Fermion pairing with population imbalance: energy landscape and phase separation in a constrained Hilbert subspace

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