Experimental demonstration of a multidimensional matter-wave interferometer based on atoms in an optical lattice

Atom interferometry is well-established as a means of measuring inertial forces with exquisite sensitivity. However, many scientific pursuits that involve precision interferometry often present environments or device constraints that are challenging for typical atom interferometric systems to operate in. In this talk, we present a novel approach to atom interferometry that involves confining atoms to an optical lattice during the entire interferometry sequence. This new class of sensor is achieved through the use of advanced machine-learning methods, which utilize time dependent motion of an optical lattice to design optimized shaking protocols for interferometry. We show that these interferometry techniques can be extended to multiple dimensions by per- forming experiments in a three-dimensional optical lattice. We demonstrate two novel multidimensional atomic interferometers, capable of measuring both the magnitude and direction of applied inertial forces. Through the modulation of the position of a two-dimensional optical lattice we realize simultaneous Bloch oscillations in two-dimensions, and a two-dimensional Michelson interferometer. Our multidimensional Michelson interferometer sensitivity is calculated and presented via Bayesian reconstruction of many experimental runs.