Interferometer for force measurement by shortcut-to-adiabatic arms guiding.

We propose a compact interferometer to measure homogeneous constant forces guiding the arms via shortcuts to adiabatic paths. For a given sensitivity, which only depends on the geometry (space-time area) of the guiding paths, the cycle time can be made fast, non-adiabatic in the lab frame, compared to decoherence times, without loosing visibility. The atom is driven by inverse-engineered time- and spin-dependent trapping potentials moving in opposite directions complemented by linear spin- and time-dependent potentials that sway on a pivot point to compensate the trap acceleration keeping the state unexcited in the moving frames. Thus the arm states remain adiabatic in the moving frames, the trapping potentials may be anharmonic, e.g. optical lattices, and the differential phase does not depend on the pivot location or on the initial motional state.