  We have performed quantum Monte Carlo simulations measuring the finite size
and temperature superfluid response of helium-4 to the linear and rotational
motion of the walls of a nanopore. Within the two-fluid model, the portion of
the normal liquid dragged along with the boundaries is dependent on the type of
motion and the resulting anisotropic superfluid density saturates far below
unity at T=0.5 K. The origin of the saturation is uncovered by computing the
spatial distribution of superfluidity, with only the core of the nanopore
exhibiting any evidence of phase coherence. The superfluid core displays
scaling behavior consistent with Luttinger liquid theory, thereby providing an
experimental test for the emergence of a one dimensional quantum liquid.
