Novel platform for continuously-trapped atom interferometry with hybridized Floquet-Bloch bands

We report experimental realization of a novel platform for compact, continuously trapped atom interferometry in the Floquet-Bloch bands of an amplitude-modulated optical lattice. A degenerate quantum gas undergoing Bloch oscillations encounters Landau-Zener avoided band crossings as beamsplitters and the Bragg scattering at the edges of the Brillouin zone as mirrors, forming the components of an interferometric force sensor. Our measurement of relative output port populations closely agrees with analytic and numerical predictions of the dependence of the Stokes and Stuckelberg phases on the force and the space-time area of the interferometric loop. Finally, in analogy to the magic wavelengths employed by optical lattice clocks, we theoretically identify and experimentally realize 'magic lattice depths' at which the interferometric phase is first-order insensitive to noise in the lattice intensity.