  We study the transport properties of an ultracold gas of Bose-Einstein
condensate that is coupled from a magnetic trap into a one-dimensional
waveguide. Our theoretical approach to tackle this problem is based on the
truncated Wigner method for which we assume the system to consist of two
semi-infinite non-interacting leads and a finite interacting scattering region
with two constrictions modelling an atomic quantum dot. The transmission is
computed in the steady-state regime and we find a good agreement between
truncated Wigner and Matrix-Product State calculations. We also identify clear
signatures of inelastic resonant scattering by analyzing the distribution of
energy in the transmitted atomic matter wave beam.
