  In this work, we investigated the nonadiabatic transport properties of the
one-dimensional time-dependent superconductor-normal metal-superconductor (SNS)
Josephson junction biased by a current source and driven by a
high-frequency-ac-gate-potential applied to the normal-metal layer. BCS
superconductors are considered and treated with the time-dependent
Bogoliubov-de Gennes equation. Using Floquet theory, we compute the
transmission coefficients and the Wigner-Smith delay times as a function of the
incident energy and find that they display resonances when one of the electron
or hole Floquet wavevectors coincides with the bound quasiparticle state within
the superconducting energy gap. The resonance varies with the phase difference
between the two superconductors as a result of the bound quasiparticle level
displacement. The supercurrent flowing through the SNS junction is dramatically
enhanced by the resonances.
