We study the superfluid properties of (quasi) one-dimensional bosonic atom
gases/liquids in traps with finite geometries in the presence of strong qua
ntum fluctuations. Driving the condensate with a moving defect we find the
nucleation rate for phase slips using instanton techniques. While phase sli
ps are quenched in a ring resulting in a superfluid response, they prolifer
ate in a tube geometry where we find Bloch oscillations in the chemical pot
ential. These Bloch oscillations describe the individual tunneling of atoms
through the defect and thus are a consequence of particle quantization.