  We employ constrained path Auxiliary Field Quantum Monte Carlo (AFQMC) in the
pursuit of studying physical nuclear systems using a lattice formalism. Since
AFQMC has been widely used in the study of condensed-matter systems such as the
Hubbard model, we benchmark our method against published results for both one-
and two-dimensional Hubbard model calculations. We then turn our attention to
cold-atomic and nuclear systems. We use an onsite contact interaction that can
be tuned in order to reproduce the known scattering length and effective range
of a given interaction. Developing this machinery allows us to extend our
calculations to study nuclear systems within a lattice formalism. We perform
initial calculations for a range of nuclear systems from two- to few-body
neutron systems.
