Survival probability in a one-dimensional quantum walk on a trapped lattice
arXiv:1008.0085 · doi:10.1088/1367-2630/13/3/033037
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.
16 pages, 8 figures
References in corpus (8)
- Quantum walks of correlated particles
- Discrete single-photon quantum walks with tunable decoherence
- Decoherence in quantum walks - a review
- Quantum Walk on a Line with Two Entangled Particles
- Survival Probabilities in Coherent Exciton Transfer with Trapping
- Symmetries and noise in quantum walk
- Decoherence in Two-Dimensional Quantum Random Walks with Traps
- Zeno subspace in quantum-walk dynamics