The asymptotic decay of the survival probability is calculated for a quantum particle moving at zero temperature on a one-dimensional tight-binding chain possessing randomly placed irreversible traps of strength γ. The survival probability exhibits a decay, P(t) ~ exp(-At1/4), which is slower than that associated with a diffusing particle.
P. E. Parris, "One-Dimensional Trapping Kinetics at Zero Temperature," Physical Review Letters, vol. 62, no. 12, pp. 1392-1395, American Physical Society (APS), Mar 1989.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.62.1392
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