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The European Physical Journal B

Phase diagram and deformed phase separation for a trapped Fermi gas with population imbalance and BCS pairing interaction

Zu‐Jian Ying, Mario Cuoco, Canio Noce, Huan-Qiang Zhou

Published Nov 1, 2010• 2 citations
Publisher
DOI
10.1140/epjb/e2010-10515-0

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We present phase diagrams for population-imbalanced, trapped Fermi superfluids near unitarity. In addition to providing quantitative values for the superfluid transition temperature, the pairing onset temperature, and the transition line (separating the Sarma and phase separation regimes), we study experimental signatures of these transitions based on density profiles and density differences at the center. Predictions on the BCS side of resonance show unexpected behavior, which should be searched for experimentally.
We investigate the phase diagram and the BCS-BEC crossover of a homogeneous three-component ultracold Fermi gas with a U(3)-invariant attractive interaction. We show that the system at sufficiently low temperatures exhibits population imbalance as well as fermionic pairing. We describe the crossover in this system, connecting the weakly interacting BCS regime of the partially population-imbalanced fermion pairing state and the BEC limit with three weakly interacting species of molecules, including pairing fluctuations within a ttt-matrix calculation of the particle self-energies.