  We study the current response of an AC driven dissipative Mott insulator
system, a normal quantum dot array, using an analytical Keldysh field theory
approach. Deep in the Mott insulator regime, the nonequilibrium steady state
(NESS) response resembles a resistively shunted Josephson array, with a
nonequilibrium Mott insulating to conductor transition as the drive frequency
{\Omega} is increased. The diamagnetic component of the NESS in the conducting
phase is anomalous, implying negative inductance, strikingly reminiscent of the
{\eta}-pairing phase of a Josephson array with negative phase stiffness.
However in the presence of an additional DC field the signature of supercurrent
- Shapiro steps - is completely absent. We interpret these properties as
number-phase fluctuation effects shared with Josephson systems rather than
superconductivity.
