Survival probability in a one-dimensional quantum walk on a trapped lattice
Meltem Gönülol, Ekrem Aydıner, Yutaka Shikano, Özgür E. Müstecaplıoğlu · New Journal of Physics · 2011
The dynamics of the survival probability of quantum walkers on a one-dimensional lattice with random distribution of absorbing immobile traps is investigated. The survival probability of quantum walkers is compared with that of classical walkers. It is shown that the time dependence of the survival probability of quantum walkers has a piecewise stretched exponential character depending on the density of traps in numerical and analytical observations. The crossover between the quantum analogues of the Rosenstock and Donsker–Varadhan behavior is identified.