Survival probability in a one-dimensional quantum walk on a trapped lattice
Quantum Physics
2011-04-01 v3 Disordered Systems and Neural Networks
Abstract
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.
Keywords
Cite
@article{arxiv.1008.0085,
title = {Survival probability in a one-dimensional quantum walk on a trapped lattice},
author = {Meltem Gonulol and Ekrem Aydiner and Yutaka Shikano and Ozgur E. Mustecaplioglu},
journal= {arXiv preprint arXiv:1008.0085},
year = {2011}
}
Comments
16 pages, 8 figures