  We propose and analyze a protocol to create and control the superfluid flow
in a one dimensional, weakly interacting Bose gas by noisy point contacts
coupled to the density of the bosons. Considering first a single contact in a
static or moving condensate, we identify three different dynamical phases: I. a
linear response regime, where the noise induces a coherent flow in proportion
to the strength of the noise accompanied by a counterflow of the normal
component of the gas, II. a Zeno regime with suppressed currents and negative
differential current to noise characteristics, and III. for a non-vanishing
relative velocity, a regime of continuous soliton emission. The velocity of the
condensate at the dissipative impurity determines the threshold for Zeno
suppression of the current through the point contact, and the onset of the
non-stationary regime of soliton "shooting" from the defect. Generalizing to
two point contacts in a condensate at rest we show that noise tuning can be
employed to control, stabilize or eventually shunt the superfluid transport of
particles along the segment which connects them, with perspectives for an
atomtronic analogue of a superfluid-current source for studying quantum
transport phenomena.
