  We find a first order transition driven by the strength of non-equilibrium
conditions of one-dimensional driven open condensates. Associated with this
transition is a new stable non-equilibrium phase, space-time vortex turbulence,
whose vortex density and quasiparticle distribution show strongly non-thermal
behavior. Below the transition, we identify a new time scale associated with
noise activated unbound space-time vortices, beyond which the temporal
coherence function changes from a Kardar-Parisi-Zhang type subexponential to a
disordered exponential decay. Experimental realization of the non-equilibrium
vortex turbulent phase is facilitated in driven open condensates with a large
diffusion rate.
