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Motivated by a recent experiment in ultracold atoms [ S. Krinner et al.,Proc. Natl. Acad. Sci. U.S.A 113, 8144 (2016)], we analyze transport ofattractively interacting fermions through a one-dimensional wire near thesuperfluid transition. We show that in a ballistic regime where the conductanceis quantized in the absence of interaction, the conductance is renormalized bysuperfluid fluctuations in reservoirs. In particular, the particle conductanceis strongly enhanced and the plateau is blurred by emergent bosonic pairtransport. For spin transport, in addition to the contact resistance the wireitself is resistive, leading to a suppression of the measured spin conductance.Our results are qualitatively consistent with the experimental observations.

Anomalous Transport in the Superfluid Fluctuation Regime