Resonant-tunneling in discrete-time quantum walk
Quantum Physics
2017-12-06 v2 Mathematical Physics
math.MP
Abstract
We show that discrete-time quantum walks on the line, , behave as "the quantum tunneling". In particular, quantum walkers can tunnel through a double-well with the transmission probability under a mild condition. This is a property of quantum walks which cannot be seen on classical random walks, and is different from both linear spreadings and localizations.
Cite
@article{arxiv.1708.01052,
title = {Resonant-tunneling in discrete-time quantum walk},
author = {Kaname Matsue and Leo Matsuoka and Osamu Ogurisu and Etsuo Segawa},
journal= {arXiv preprint arXiv:1708.01052},
year = {2017}
}
Comments
14 pages, 2 figures to appear in "Quantum Studies: Mathematics and Foundations"