  Employing the density-matrix renormalization group technique in the
matrix-product-state representation, we investigate the photoexcited
superconducting correlations induced by the $\eta$-pairing mechanism in the
half-filled Hubbard chain. We estimate the characteristic pair correlation
function and verify the accuracy of our numerical results by comparison with
exact-diagonalization data for small systems. The optimal parameter set of the
pump that most enhances the $\eta$-pair correlations, is calculated in the
strong-coupling regime. For such a pump, we explore the possibility of
quasi-long-range order.
