  To date, epsilon near zero (ENZ) responses, characterized by an infinite
phase velocity, are primarily achieved by applying a monochromatic light source
to a tailored metamaterial. Here, we derive the equations for inducing a
dynamically generated broadband ENZ response in a large class of many-body
systems via tracking and feedback control. We further find that this response
leads to a current-energy relationship identical to that of an ideal inductor.
Using a Fermi-Hubbard model, we numerically confirm these results which have
the potential to advance optical computation on the nanoscale.
