Reens on the OH Stark decellerator for invaluable advice on AC and DC electric fields.We have also had a very fruitful collaboration with Ana Maria Rey's group. In particular we worked with Michael Foss-Feig and Kaden Hazzard in the early years, and more recently Michael Wall, Martin Garttner, Arghavan Safavi-Naini, and Bihui Zhu. They have all done an excellent job being aware of what our experiment is capable of, and giving us space when we need to address technical issues. We attempted the spin-exchange measurements after Kaden and Ana Maria suggested that we would be able to observe them in the lattice even at our relatively low filling fraction at that time.The JILA instrument shop played a very significant role in much of the work in this thesis, and I have spent a lot of time working with Tracy Keep, Kels Detra, Kim Hagen, Blaine Horner, Todd Asnicar, and Hans Greene. Tracy made the primary contributions to the new apparatus, and was very helpful along the entire journey to address every problem that emerged. A lot can change in six years, and the JILA instrument shop during my PhD is an excellent example of that. Tracy recently passed away after battling with cancer. Kels left JILA a few years ago. Blaine recently retired. Nevertheless, the JILA instrument shops remains an incredible resource.The JILA electronics shop and computing team have been invaluable to our experiment.Terry Brown and Carl Sauer are always available to help us with any electrical or electronics problem, particularly high voltage or AC circuits. Their expertise has played a significant role in the electronics of the new apparatus, such as the servos for large electric fields and the rf and microwave coils for K and Rb spin flips. J. R. Raith in computing has been very helpful with all of our computing needs over the years.On a more personal note, I am thankful to Dan Gresh (Cornell group, eEDM experiment, JILA) for his friendship over the past six years, and for teaching me the art of powerlifting. I viii am also grateful to Rory Barton-Grimley (Aerospace Eng., CU-Boulder) for his friendship and for getting me back into hockey. I have enjoyed playing with him and Carrie Weidner, Seth Caliga, and Cam Straatsma (Anderson group, JILA) over the past several years. I would also like to thank my family for their constant support over the past six years, especially my fiancé Jennifer. 7.5 The electric field orientations that are possible with the electrode configuration of the new apparatus .