  A many-body quantum system with varying parameters can exhibit two distinct
quantum states within the same energy shell. This allows for a dynamic
transition from the ground state of the pre-quench Hamiltonian to a steady
state of the post-quench Hamiltonian. We investigate the dynamic response of
the ground states in a two-layer half-filled Hubbard model to a perpendicular
electric field. We demonstrate that the steady state exhibits conductivity when
the field is in resonance with the on-site repulsion, while the initial state
is a Mott-insulating state. Additionally, the two layers exhibit identical
conducting behavior due to the formation of long-lived dopings, as evidenced by
the charge fluctuation. The key factor in achieving this dynamic transition is
the cooperative interplay between on-site interactions and the resonant field,
rather than the individual roles they play. Our findings offer an alternative
mechanism for field-induced conductivity in strongly correlated systems.
