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We present an exact Quantum Monte Carlo study of the attractive 1-dimensionalHubbard model with imbalanced fermion population. The pair-pair correlationfunction, which decays monotonically in the absence of polarization P, developsoscillations when P is nonzero, characteristic ofFulde-Ferrell-Larkin-Ovchinnikov phase. The pair momentum distribution peaks ata momentum equal to the difference in the Fermi momenta. At strong coupling,the minority and majority momentum distributions are shown to be deformed,reflecting the presence of the other species, and its Fermi surface. The FFLOoscillations survive the presence of a confining potential, and the localpolarization at the trap center exhibits a marked dip, similar to that observedexperimentally.

Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations