  We investigate a possible realization of an ultracold-atom rotation sensor
that is based on recently proposed tractor atom interferometry (TAI). An
experimental design that includes generation of a Laguerre-Gaussian-beam-based
"pinwheel" optical lattice and multi-loop interferometric cycles is discussed.
Numerical simulations of the proposed system demonstrate TAI rotation
sensitivity comparable to that of contemporary matter-wave interferometers. We
analyze a regime of TAI rotation sensors in which nonadiabatic effects may
hinder the system's performance. We apply quantum optimal control to devise a
methodology suitable to address this nonadiabaticity. Our studies are of
interest for current efforts to realize compact and robust matter-wave rotation
sensors, as well as in fundamental-physics applications of TAI.
