Quasiperiodic dynamics of coherent diffusion: a quantum walk approach
Quantum Physics
2007-05-23 v1
Abstract
We study the dynamics of a generalization of quantum coin walk on the line which is a natural model for a diffusion modified by quantum or interference effects. In particular, our results provide surprisingly simple explanations to phenomena observed by Bouwmeester et al. (Phys. Rev. A, 61, 13410 (1999)) in their optical Galton board experiment, and a description of a stroboscopic quantum walks given by Buershaper and Burnett (quant-ph/0406039) through numerical simulations. We also provide heuristic explanations for the behavior of our model which show, in particular, that its dynamics can be viewed as a discrete version of Bloch oscillations.
Cite
@article{arxiv.quant-ph/0407128,
title = {Quasiperiodic dynamics of coherent diffusion: a quantum walk approach},
author = {A. Wojcik and T. Luczak and P. Kurzynski and A. Grudka and M. Bednarska},
journal= {arXiv preprint arXiv:quant-ph/0407128},
year = {2007}
}