Experimental Probe of Antiferromagnetic Ordering in a 3D Optical Lattice of $^6$Li

We have developed an apparatus to probe magnetic ordering in $^6$Li using a two spin mixture of magnetic sub-levels from the lowest hyperfine state. The degenerate Fermi gas is prepared all optically by loading and evaporative cooling in a high-power far-red detuned optical trap. Our primary goal is the observation of the antiferromagnetic (AFM) N\'{e}el phase predicted at very low temperatures for an equal spin mixture in a three dimensional lattice with one fermion per site. We present our progress toward the identification of the AFM phase and the investigation of the Fermi-Hubbard model in this system. We also discuss methods used to distinguish spatial and magnetic ordering within a simple cubic lattice. Specifically, we intend to identify the AFM phase using near resonant Bragg scattering from the (${\scriptstyle{^1\!/_2}\,{^1\!/_2}\,{^1\!/_2}}$) lattice plane.