  A major challenge in high-precision light-pulse atom interferometric
experiments such as in tests of the weak equivalence principle is the
uncontrollable dependency of the phase on initial velocity and position of the
atoms in the presence of inhomogeneous gravitational fields. To overcome this
limitation, mitigation strategies have been proposed, however, valid only for
harmonic potentials or only for small branch separations in more general
situations. Here we provide a mitigation formula for anharmonic perturbation
potentials including local gravitational effects that vary on length scales
much smaller than the spatial extent probed by the atoms and originate, e.g.,
from buildings that surround the experiment. Furthermore, our results are
applicable to general interferometer geometries with arbitrary branch
separation and allow for compensation of Coriolis effects in rotating reference
frames.
