2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29944We present an analytical derivation for the quantum decay rate of the superflow through a weak link in a one-dimensional Bose-Einstein-condensate. The effective action for the phase difference across the link reduces to that of a massive particle with damping subject to a periodic potential. We find an algebraic flow-pressure relation, characteristic for quantum nucleation of phase slips in the link and show how short-wave length fluctuations renormalizing the interaction between the Bosons remove the quantum phase transition expected in this class of systems.4pages, RevTex, 2 Postscript figuresMesoscale and Nanoscale PhysicsSuperconductivitytext