  Superfluidity, the ability of a liquid or gas to flow with zero viscosity, is
one of the most remarkable implications of collective quantum coherence. In
equilibrium systems like liquid 4He and ultracold atomic gases, superfluid
behaviour conjugates diverse yet related phenomena, such as persistency of
metastable flow in multiply connected geometries and the existence of a
critical velocity for frictionless flow when hitting a static defect. The link
between these different aspects of superfluid behaviour is far less clear in
driven-dissipative systems displaying collective coherence, such as microcavity
polaritons, which raises important questions about their concurrency. With a
joint theoretical and experimental study, we show that the scenario is
particularly rich for polaritons driven in a three-fluid collective coherent
regime so-called optical parametric oscillator. On the one hand, the
spontaneous macroscopic coherence following the phase locking of the signal and
idler fluids has been shown to be responsible for their simultaneous quantized
flow metastability. On the other hand, we show here that pump, signal and idler
have distinct responses when hitting a static defect; while the signal displays
hardly appreciable modulations, the ones appearing in pump and idler are
determined by their mutual coupling due to nonlinear and parametric processes.
