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(-${\mathrm{At}}^{1/4}$), which is slower than that associated with a diffusing particle.

• Received 14 November 1988

DOI:https://doi.org/10.1103/PhysRevLett.62.1392