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We show that a resonant pulsed field can induce a steady superconductingstate even in the deep Mott insulating phase of the dimerized Hubbard model.The superconductivity found here in the non-equilibrium steady state is due tothe $\eta $-pairing mechanism, characterized by the existence of theoff-diagonal long-range order (ODLRO), and is absent in the ground-state phasediagram. The key of the scheme lies in the generation of the field-inducedcharge density wave (CDW) state that is from the valence bond solid. Thedynamics of this state resides in the highly-excited subspace of dimerizedHubbard model and is dominated by a $\eta $-spin ferromagnetic model. The decayof such long-living excitation is suppressed because of energy conservation. Wealso develop a dynamical method to detect the ODLRO of the non-equilibriumsteady state. Our finding demonstrates that the non-equilibrium many-bodydynamics induced by the interplay between the resonant external field andelectron-electron interaction is an alternative pathway to access a new exoticquantum state, and also provides an alternative mechanism for enhancingsuperconductivity.

Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field