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We investigate the competition between superconductivity (SC) and chargedensity wave (CDW) under a time-dependent periodic field in the attractiveHubbard model. By employing the time-dependent exact diagonalization method, weshow that the driving frequency and amplitude of the external field can controlthe enhancement of either the superconducting pair or the CDW correlations,which are degenerate in the ground state of the half-filled attractive Hubbardmodel in the absence of the field. In the strong-coupling limit of theattractive Hubbard interaction, the controllability is characterized by theanisotropic interaction of the effective model. The anisotropy is induced bythe external field and lifts the degeneracy of SC and CDW. We find that theenhancement or suppression of the superconducting pair and CDW correlations inthe periodically-driven attractive Hubbard model can be well interpreted by thequench dynamics of the effective model derived in the strong-coupling limit.

Superconductivity and charge density wave under a time-dependent periodic field in the one-dimensional attractive Hubbard model