  We propose to dynamically control the conductivity of a Josephson junction
composed of two weakly coupled one dimensional condensates of ultracold atoms.
A current is induced by a periodically modulated potential difference between
the condensates, giving access to the conductivity of the junction. By using
parametric driving of the tunneling energy, we demonstrate that the
low-frequency conductivity of the junction can be enhanced or suppressed,
depending on the choice of the driving frequency. The experimental realization
of this proposal provides a quantum simulation of optically enhanced
superconductivity in pump-probe experiments of high temperature
superconductors.
