Low-voltage current noise in long quantum SINIS junctions

The current noise in long SINIS junctions at low temperatures is sensitive to the population of the sub-gap states which is far from equilibrium even at low bias voltages. Nonequilibrium distribution establishes due to an interplay between voltage-driven inter-level Landau-Zener transitions and intra-level inelastic relaxation. We show that the Fano factor is enhanced drastically, being proportional to the number of times which particle can fly along the Andreev trajectory before it escapes from the level due to inelastic scattering. Combining the dc current and noise measurements one can fully characterize the non-equilibrium kinetics in SINIS junctions.