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Under the assumption of two fluid kinematics of a nonrelativistic Bose liquidin the presence of a local velocity field $v(x)$, local Galilei transformationsare used to derive formulas for the spatial distribution of superfluidity. Thelocal formulation is shown to subsume several descriptions of superfluidity,from Landau's free quasiparticle picture of the normal fluid to the fullymicroscopic winding number formula for superfluid density. We derive thesuperfluid distribution of generic pure states of 1-d bosonic systems by usingthe continuum analog of matrix product states. With a view toward spatiallystructured superfluid-based quantum devices, we consider the limits to localdistillation of superfluidity within the framework of localized resourcetheories of quantum coherence.

Spatial distribution of superfluidity and superfluid distillation of Bose liquids