  We experimentally study a driven-dissipative Josephson junction array,
realized with a weakly interacting Bose Einstein condensate residing in a
one-dimensional optical lattice. Engineered losses on one site act as a local
dissipative process, while tunneling from the neighboring sites constitutes the
driving force. We characterize the emerging steady-states of this atomtronic
device. With increasing dissipation strength $\gamma$ the system crosses from a
superfluid state, characterized by a coherent Josephson current into the lossy
site to a resistive state, characterized by an incoherent hopping transport.
For intermediate values of $\gamma$, the system exhibits bistability, where a
superfluid and a resistive branch coexist. We also study the relaxation
dynamics towards the steady-state, where we find a critical slowing down,
indicating the presence of a non-equilibrium phase transition.
