Survival probability in a one-dimensional quantum walk on a trapped lattice

Details Survival probability in a one-dimensional quantum walk on a trapped lattice Survival probability in a one-dimensional quantum walk on a trapped lattice

2010-07-31

arxiv.org/abs/1008.0085v3

New J. Phys. 13, 033037 (2011)

Physics

Quantum Physics

16 pages, 8 figures

Scientific paper

10.1088/1367-2630/13/3/033037

The dynamics of the survival probability of quantum walkers on a one-dimensional lattice with random distribution of absorbing immobile traps are investigated. The survival probability of quantum walkers is compared with that of classical walkers. It is shown that the time dependence of 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 analogs of the Rosenstock and Donsker-Varadhan behaviors is identified.

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