  Cold atomic gases have proven capable of emulating a number of fundamental
condensed matter phenomena including Bose-Einstein condensation, the Mott
transition, Fulde-Ferrell-Larkin-Ovchinnikov pairing and the quantum Hall
effect. Cooling to a low enough temperature to explore magnetism and exotic
superconductivity in lattices of fermionic atoms remains a challenge. We
propose a method to produce a low temperature gas by preparing it in a
disordered potential and following a constant entropy trajectory to deliver the
gas into a non-disordered state which exhibits these incompletely understood
phases. We show, using quantum Monte Carlo simulations, that we can approach
the Ne\'el temperature of the three-dimensional Hubbard model for
experimentally achievable parameters. Recent experimental estimates suggest the
randomness required lies in a regime where atom transport and equilibration are
still robust.

Quantum Gases;Strongly Correlated Electrons