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The momentum distribution is one of the most important quantities whichprovides information about interactions in many-body systems. At the same timeit is a quantity that can easily be accessed in experiments on ultracold atoms.In this paper, we consider mixtures of light and heavy fermionic atoms in anoptical lattice described effectively by the Falicov-Kimball model. Using aMonte Carlo method, we study how different ordered density-wave phases can bedetected by measurement of the momentum distribution of the light atoms. Wealso demonstrate that ordered phases can be seen in Bragg scatteringexperiments. Our results indicate that the main factor that determines themomentum distribution of the light atoms is the trap confinement. On the otherhand, the pattern formed by the heavy atoms seen in the Bragg scatteringexperiments is very sensitive to the temperature and possibly can be used inlow-temperature thermometry.

Momentum distribution and ordering in mixtures of ultracold light and heavy fermionic atoms