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We study the phase diagram of a mixture of Bose-Einstein condensate and atwo-component Fermi gas. In particular, we identify the regime where thehomogeneous system becomes unstable against phase separation. We show that,under proper conditions, the phase separation phenomenon can be exploited as arobust probe of Fermi superfluid.

Phase Separation in Bose-Fermi-Fermi Mixtures as a Probe of Fermi Superfluidity