Continuous-time limit of topological quantum walks
Quantum Physics
2016-11-23 v1
Abstract
We derive the continuous-time limit of discrete quantum walks with topological phases. We show the existence of a continuous-time limit that preserves their topological phases. We consider both simple-step and split-step walks, and derive analytically equations of motion governing their behavior. We obtain simple analytical solutions showing the existence of bound states at the boundary of two phases, and solve the equations of motion numerically in the bulk.
Cite
@article{arxiv.1611.07457,
title = {Continuous-time limit of topological quantum walks},
author = {Radhakrishnan Balu and Daniel Castillo and George Siopsis and Christian Weedbrook},
journal= {arXiv preprint arXiv:1611.07457},
year = {2016}
}
Comments
10 pages, 14 figures