Quantum transport in the presence of random traps

We calculate the asymptotic decay of a quantum particle moving in a d-dimensional medium doped with randomly placed trapping impurities, focusing on contributions from slowly decaying long-wavelength modes centered in large compact regions devoid of traps. By averaging the decay over the statistical distribution associated with these regions we find that the survival probability, P(t)∼exp(-${\mathrm{At}}^{d/(d+3)}$), decays more slowly in any dimension than for diffusive transport.