  We study the response of a (2+1)-dimensional gauge theory to an external
rotating electric field. In the strong coupling regime such system is
formulated holographically in a top-down model constructed by intersecting D3-
and D5-branes along 2+1 dimensions, in the quenched approximation, in which the
D5-brane is a probe in the AdS_5 x S^5 geometry. The system has a
non-equilibrium phase diagram with conductive and insulator phases. The
external driving induces a rotating current due to vacuum polarization (in the
insulator phase) and to Schwinger effect (in the conductive phase). For some
particular values of the driving frequency the external field resonates with
the vector mesons of the model and a rotating current can be produced even in
the limit of vanishing driving field. These features are in common with the
(3+1) dimensional setup based on the D3-D7 brane model and hint on some
interesting universality. We also compute the conductivities paying special
attention to the photovoltaic induced Hall effect, which is only present for
massive charged carriers. In the vicinity of the Floquet condensate the optical
Hall coefficient persists at zero driving field, signalling time reversal
symmetry breaking.
