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We demonstrate a horizontal multi-photon atom interferometer driven via Braggdiffraction enhanced in an optical resonator. A large interrogation mode (4 mm$1/e^2$ diameter) is necessary, as the atoms cross the interrogation regionwith a ballistic trajectory. This large mode is achieved using an 80 cm longdegenerate cavity to mediate the light-matter interaction. Using a sub-Dopplercooled $^{87}$Rb source, we observe momentum transfer up to $8\hbar k$ anddemonstrate inertial sensitivity using significantly reduced optical power($<$1 mW), taking advantage of the optical gain of the cavity. Our method isapplicable to a vast class of measurement geometries and atomic sources - weopen a new perspective not only for the realization of high sensitivitymulti-axis inertial atom sensors, but also for the future realization of hybridatom/optical gravitational wave detectors.

Multi-photon Atom Interferometry via cavity-enhanced Bragg Diffraction