ac Josephson Effect in a Single Quantum Channel.

We have calculated all the components of the current in a short one-dimensional channel between two superconductors for arbitrary voltages and transparencies $D$ of the channel. We demonstrate that in the ballistic limit ( $D\ensuremath{\simeq}1$) the crossover between the quasistationary evolution of the Josephson phase difference $\ensuremath{\phi}$ at small voltages and transport by multiple Andreev reflections at larger voltages can be described as the Landau-Zener transition induced by finite reflection in the channel. For perfect transmission and vanishing energy relaxation rates the stationary current-phase relation is never recovered, and $I(\ensuremath{\phi}){\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}I}_{c}\ensuremath{\mid}\mathrm{sin}\ensuremath{\phi}/2\ensuremath{\mid}\mathrm{sgn}V$ for arbitrary small voltages.