Generalized Quantum Walk in Momentum Space
Quantum Physics
2009-11-10 v3
Abstract
We consider a new model of quantum walk on a one-dimensional momentum space that includes both discrete jumps and continuous drift. Its time evolution has two stages; a Markov diffusion followed by localized dynamics. As in the well known quantum kicked rotor, this model can be mapped into a localized one-dimensional Anderson model. For exceptional (rational) values of its scale parameter, the system exhibits resonant behavior and reduce to the usual discrete time quantum walk on the line.
Cite
@article{arxiv.quant-ph/0408183,
title = {Generalized Quantum Walk in Momentum Space},
author = {A. Romanelli and A. Auyuanet and R. Siri and G. Abal and R. Donangelo},
journal= {arXiv preprint arXiv:quant-ph/0408183},
year = {2009}
}
Comments
11 pages, 5 figures