  Correlated quantum systems feature a wide range of nontrivial effects
emerging from interactions between their constituting particles. In
nonequilibrium scenarios, these manifest in phenomena such as many-body
insulating states and anomalous scaling laws of currents of conserved
quantities, crucial for applications in quantum circuit technologies. In this
work we propose a giant rectification scheme based on the asymmetric interplay
between strong particle interactions and a tilted potential, each of which
induces an insulating state on their own. While for reverse bias both cooperate
and induce a strengthened insulator with an exponentially suppressed current,
for forward bias they compete generating conduction resonances; this leads to a
rectification coefficient of many orders of magnitude. We uncover the mechanism
underlying these resonances as enhanced coherences between energy eigenstates
occurring at avoided crossings in the system's bulk energy spectrum.
Furthermore, we demonstrate the complexity of the many-body nonequilibrium
conducting state through the emergence of enhanced density matrix impurity and
operator space entanglement entropy close to the resonances. Our proposal paves
the way for implementing a perfect diode in currently-available electronic and
quantum simulation platforms.
