Shot Noise in Mesoscopic Systems with Resonance Andreev Tunneling

The general scattering-matrix formalism is suggested for the description of shot noise in single-channel quantum NS contacts in the presence of smeared Andreev levels in the $eV<\Delta$ regime. It is shown that the noise spectral density as a function of frequency shows a number of characteristic features due to the presence of the Andreev resonances in the system. It turns out that, by analyzing these singularities, one can determine the relative phases of the Andreev reflection amplitudes corresponding to the neighboring resonances.