Nonuniform energy level broadening in open quantum dots: The influence of the closed dot eigenstates on transport

We present simulations of a realistically modeled quantum dot with soft boundaries and open leads supporting several modes. The wavefunctions of this open dot can be decomposed in terms of the eigenstates of a corresponding closed dot my means of projection. At particular resonances, this decomposition reveals that transport in the open dot can be mediated through a single eigenstate. Thus, the quantization of closed-dot energy levels can be preserved even as the dot is opened, but we find that there is a selection of particular eigenstates that depends strongly on the positions and nature of the contacts.