  We investigate the Hall response of hardcore bosonic atoms on a triangular
ladder in a magnetic field. We show that the behavior of the Hall polarization,
both in its saturation value and in the short-time dynamics, correlates with
the features of the underlying phase diagram. In particular, it exhibits a
strong negative response at the Meissner to vortex phase transitions, while at
large magnetic fluxes, after changing sign, it shows a strong positive response
due to non-trivial vortex commensurability effects stemming from the interplay
of interactions and geometric frustration. Thus, one can employ the Hall
response as a sensitive probe of the many-body chiral quantum phases present in
the system.
