Continuous time quantum walks in phase space
Quantum Physics
2009-11-11 v2 Statistical Mechanics
Abstract
We formulate continuous time quantum walks (CTQW) in a discrete quantum mechanical phase space. We define and calculate the Wigner function (WF) and its marginal distributions for CTQWs on circles of arbitrary length . The WF of the CTQW shows characteristic features in phase space. Revivals of the probability distributions found for continuous and for discrete quantum carpets do manifest themselves as characteristic patterns in phase space.
Cite
@article{arxiv.quant-ph/0509141,
title = {Continuous time quantum walks in phase space},
author = {Oliver Muelken and Alexander Blumen},
journal= {arXiv preprint arXiv:quant-ph/0509141},
year = {2009}
}
Comments
slightly revised version to be published in PRA, 6 pages, 6 color figures (high quality postscript figures are available upon request)