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Superfluid Transition in a Rotating Fermi Gas with Resonant Interactions

2006/07/28 by Martin Y. Veillette, Daniel E. Sheehy, Leo Radzihovsky +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.97.250401

published as PRL 97, 250401 (2006) · 4 pages, 3 figures

arxiv created 2006/07/28 · openalex publication_date 2006/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study a rotating atomic Fermi gas near a narrow s-wave Feshbach resonance in a uniaxial trap with frequencies \ensuremathΩ_\ensuremath⊥, \ensuremathΩz. We predict the upper-critical angular velocity, \ensuremathωc2(\ensuremathδ,T), as a function of temperature T and detuning \ensuremathδ across the BEC-BCS crossover. The suppression of superfluidity at \ensuremathωc2 is distinct in the BCS and BEC regimes, with the former controlled by depairing and the latter by the dilution of bosonic molecules. At low T and \ensuremathΩz\ensuremath≪\ensuremathΩ_\ensuremath⊥, in the BCS and crossover regimes of 0\ensuremath\lesssim\ensuremathδ\ensuremath\lesssim\ensuremathδc, \ensuremathωc2 is implicitly given by \ensuremathℏ√\ensuremathωc22+\ensuremathΩ_\ensuremath⊥2\ensuremath≈2\ensuremathΔ√\ensuremathℏ\ensuremathΩ_\ensuremath⊥/ϵF, vanishing as \ensuremathωc2\ensuremath∼\ensuremathΩ_\ensuremath⊥(1\ensuremath-\ensuremathδ/\ensuremathδc)1/2 near \ensuremathδc\ensuremath≈2ϵF+\frac\ensuremathγ2ϵFln(ϵF/\ensuremathℏ\ensuremathΩ_\ensuremath⊥) (with \ensuremathΔ the BCS gap and \ensuremathγ the resonance width), and extending the bulk result \ensuremathℏ\ensuremathωc2\ensuremath≈2\ensuremathΔ2F to a trap. In the BEC regime of \ensuremathδ<0 we find \ensuremathωc2\ensuremath→\ensuremathΩ_\ensuremath⊥^\ensuremath-, where molecular superfluidity is destroyed only by large quantum fluctuations associated with comparable boson and vortex densities.

Citations