  We study photon condensation phenomena in a driven and dissipative array of
superconducting microwave resonators. Specifically, we show that by using an
appropriately designed coupling of microwave photons to superconducting qubits,
an effective dissipative mechanism can be engineered, which scatters photons
towards low-momentum states while conserving their number. This mimics a
tunable coupling of bosons to a low temperature bath, and leads to the
formation of a stationary photon condensate in the presence of losses and under
continuous-driving conditions. Here we propose a realistic experimental setup
to observe this effect in two or multiple coupled cavities, and study the
characteristics of such an out-of-equilibrium condensate, which arise from the
competition between pumping and dissipation processes.
