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We investigate the transmission and reflection survival probabilities for thechaotic stadium billiard with two holes placed asymmetrically. Classically,these distributions are shown to have algebraic or exponential decays dependingon the choice of injecting hole and exact expressions are given for the firsttime and confirmed numerically. As there is no reported quantum theoretical orexperimental analogue we propose a model for experimental observation of theasymmetric transport using semiconductor nano-structures and comment on therelevant quantum time-scales.

Transmission and Reflection in the Stadium Billiard: Time-dependent asymmetric transport