Realizing a T-Cubed Scaling Interferometer

As most atom interferometers' (AI) phase sensitivity scales proportionally to T-squared, we will highlight modeling and experimental progress toward a T-cubed scaling AI. The T-cubed sensitivity comes from utilization of magnetically sensitive transitions of Rb (85) in the weak field limit. The AI provides improved sensitivity scaling to both gravitational acceleration and magnetic gradient over similar short baseline AIs, improving upon current sensors with a selective option to magnetic gradient sensitivity. Our simulation utilizes a fully three dimensional magnetic field and gradient to model the closure, path integral and associated phase sensitivity of the AI. In this, we match our model to analytic calculations and former experimental results. Additionally, we present our experimental progress towards results with our new magnetic field structure, utilizing our model to speed our system optimization and data collection.