Continuously-trapped atom interferometry in magic Floquet-Bloch bands

The performance of continuously-trapped atom interferometers is limited by fluctuations in the trapping potential which induce position-dependent phase shifts. In analogy with magic wavelength optical traps, we numerically demonstrate the existence and experimental accessibility of "magic" drive-tunable Floquet-Bloch band structures, in which an interferometric loop is insensitive to amplitude fluctuations in the trapping potential. We quantify the robustness of magic bands against trap fluctuations using both numerical solution of the time-dependent Schrodinger equation and quasi-static calculations in an effective Floquet-Bloch band structure, and discuss prospects for the experimental realization of a magic continuously-trapped atom interferometer.