  We study a two-component quasi-two-dimensional Fermi gas with imbalanced spin
populations. We probe the gas at different interaction strengths and
polarizations by measuring the density of each spin component in the trap and
the pair momentum distribution after time of flight. For a wide range of
experimental parameters, we observe in-trap phase separation characterized by
the appearance of a spin-balanced condensate surrounded by a polarized gas. Our
momentum space measurements indicate pair condensation in the imbalanced gas
even for large polarizations where phase separation vanishes, pointing to the
presence of a polarized pair condensate. Our observation of zero momentum pair
condensates in 2D spin-imbalanced gases opens the way to explorations of more
exotic superfluid phases that occupy a large part of the phase diagram in lower
dimensions.
