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A many-body quantum system with different parameters may support two distinctquantum states at the same energy shell. It allows the dynamical transitionfrom the ground state of pre-quench Hamiltonian to a steady state ofpost-quench one. We study the dynamical response of the ground states of atwo-layer half-filled Hubbard model to a perpendicular electric field. We showthat the steady state is conducting state when the field is resonant to theon-site repulsion, while the initial state is a Mott insulating state. Inaddition, two layers exhibit the same conducting behavior due to the formationof the free particles in both layers, which are manifested by the performanceof the charge fluctuation. Our finding provides alternative mechanism for fieldinduced conductivity in strongly correlated system.

Transition from insulating to conducting states in the bilayer Hubbard model by perpendicular quench field