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(-Atd/(d+3)), decays more slowly in any dimension than for diffusive transport.
J. W. Edwards and P. E. Parris, "Quantum Transport in the Presence of Random Traps," Physical Review B (Condensed Matter), vol. 40, no. 11, pp. 8045-8048, American Physical Society (APS), Oct 1989.
The definitive version is available at https://doi.org/10.1103/PhysRevB.40.8045
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© 1989 American Physical Society (APS), All rights reserved.
01 Oct 1989