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We study the superfluid properties of (quasi) one-dimensional bosonic atomgases/liquids in traps with finite geometries in the presence of strong quantumfluctuations. Driving the condensate with a moving defect we find thenucleation rate for phase slips using instanton techniques. While phase slipsare quenched in a ring resulting in a superfluid response, they proliferate ina tube geometry where we find Bloch oscillations in the chemical potential.These Bloch oscillations describe the individual tunneling of atoms through thedefect and thus are a consequence of particle quantization.Comment: 4 pages, 1 figur

Superfluidity versus Bloch Oscillations in Confined Atomic Gases